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Transcript
2013 STE-QUEST WORKSHOP
BOOK OF ABSTRACTS
22-23 May 2013
ESTEC, room Newton
Keplerlaan 1, Noordwijk - The Netherlands
http://sci.esa.int/ste-quest-ws2013
1
Einstein’s theory of general relativity is a cornerstone of modern physics. It is used to
describe the flow of time in presence of gravity, the motion of bodies from satellites
to galaxy clusters, the propagation of electromagnetic waves in the presence of
massive bodies, and the dynamics of the universe as a whole.
Although very successful so far, general relativity, as well as numerous other
alternative or more general theories of gravitation, are classical theories. As such, they
are fundamentally incomplete as they do not include quantum effects. A theory
solving this problem would represent a crucial step towards the unification of all
fundamental forces of Nature. Several approaches have been proposed and are
currently under investigation (e.g. string theory, quantum gravity, extra spatial
dimensions) and all of them tend to lead to tiny violations of basic principles.
Therefore, a full understanding of gravity will require observations or experiments
able to determine the relationship between gravity and the quantum world. This topic
is a prominent field of activity and includes the current studies of dark energy.
Space-Time Explorer and QUantum Equivalence Space Test (STE-QUEST,
http://sci.esa.int/ste-quest) is a mission conceived to test the different aspects of the
Einstein Equivalence Principle by using high-stability and accuracy atomic sensors.
Submitted in reply to the 2010 Call for Medium-size Missions for the Cosmic Vision
plan, STE-QUEST was recommended by the ESA advisory structure and finally
selected for an assessment study.
Scope of the workshop is to present and discuss with the scientific community the
STE-QUEST science case and the progress achieved in the frame of the mission and
instruments studies.
The STE-QUEST Study Science Team
Kai Bongs
Philippe Bouyer
Luigi Cacciapuoti
Luciano Iess
Arnaud Landragin
Philippe Jetzer
Ernst Rasel
Stephan Schiller
Uwe Sterr
Guglielmo Tino
Philip Tuckey
Peter Wolf
Birmingham University, United Kingdom
Institut d'Optique, France
ESA, The Netherlands
Università "La Sapienza", Italy
Observatoire de Paris, France
Zurich University, Switzerland
Universität Hannover, Germany
Heinrich-Heine-Universität Düsseldorf, Germany
PTB, Germany
Firenze University, Italy
Observatoire de Paris, France
Observatoire de Paris, France
2
Scientific Program
22 May 2013
08:30
Registration
STE-QUEST Science I (Chair: P. Wolf)
09:30
STE-QUEST and the Einstein Equivalence Principle (S. Schiller)
10:00
Extended Theories of Gravity and Fundamental Physics (S. Capozziell o,
p.14)
10:30
Coffee Break
11:00
The Cosmological Context (P. Binetruy, p.59)
11:30
Quantum Mechanics at the Interface with Gravity (W. Schleich, p.26)
12.00
On the Potential of STE-QUEST Clocks for Relativistic Geodesy (R.
Bondarescu, p.27)
12:20
Lunch Break
Mission Design and Instruments I (Chair: U. Sterr)
13:50
Mission Design (M. Gehler)
14:10
The Atomic Clock (P. Tuckey)
14:40
STE-QUEST Differential Atom Interferometer (E. Rasel, p.32)
15:10
Time and Frequency Transfer Links (P. Wolf)
15:30
Coffee Break
16:00
Features of the STE-QUEST S/C Design with Focus on Instrument
Interfaces, Telecommand & Data Handling, and Science Links (F. Beck,
p.55)
16:20
STE-QUEST: TAS Assessment Study Main Outcomes (A. Ferri, p.57)
16.40
Programmatic Aspects (A. Parmar)
17.00
Space clocks and Fundamental Tests (C. Salomon)
17:30
Posters Session
19:00
Bus to Hotels
3
23 May 2013
STE-QUEST Science II (Chair: P. Jetzer)
09:00
Tests of Lorentz Symmetry with STE-QUEST (J. Tasson, p.25)
09:30
Quantum Mechanics and the Equivalence Principle (D. Giulini, p.62)
10.00
Spacecraft Clocks and General Relativity (R. Angelil, p.20)
10:20
STE-QUEST - Geodetic Mission for Terrestrial and Celestial Reference
Frame Realization (D. Svehla, p.61)
10.40
Coffee Break
Mission Design and Instruments II (Chair: E. Rasel)
11:00
Fundamental Physics Tests by Atom Interferometry (M. Kasevich)
11.30
Atom Interferometry in Free Fall (A. Landragin)
12.00
STE-QUEST Mission: Atom Interferometer Performance Assessment and
Error Estimations (C. Schubert, p.36)
12:20
Frequency Comb on a Sounding Rocket. Technology demonstration and
Prototpye LPI Test (R. Holtzwarth)
12.50
Lunch Break
14.00
Open Discussion Chaired by the STE-QUEST Study Science Team
Mission Design and Instruments III (Chair: S. Schiller)
15.00
MOLO: A Microwave from Optical Local Oscillator (U. Sterr)
15.20
Optical Frequency Divider based on Passively Mode-locked Diodepumped Solid-state Laser Technology (S. Lecomte, p.18)
15.40
Coffee Break
16.00
Development of Atomic Clocks and Frequency Transfer Techniques at
Three Laboratories around Tokyo Area (Y. Hanado, p.53)
16.30
The Yb Lattice Clock (and others!) at NIST for Space-Based Applications
(C. Oates, p.38)
17.00
Towards Precision Measurements in Space with Clocks and Atom
Interferometers (N. Yu, p.13)
17.30
Closing Remarks
4
Posters Session
Name
Institution
Chen, X.
Peking University,
China
1
Mueller, H.
UC Berkeley, US
2
Yu, N.
Bulyzhenkov, I.
Stefanov, A.
Laurent, P.
Schärer, A.
Gaaloul, N.
Zhang, S.
Hartwig, J.
Arnold, A.
Bawamia, A.
Chen, Q-F
Chen, Q-F
Schuldt, T.
Krutzik, M.
Schediwy, S.
Ernsting, I.
Delva, P.
Roura, A.
Chiodo, N.
Jet Propulsion
Laboratory, US
Lebedev Physics
Institute, Russian
Federation
University of Bern,
Institute of Applied
Physics, Switzerland
LNE-SYRTE,
Observatoire de Paris,
France
Institute for
Theoretical Physics,
University of Zürich,
Switzerland
IQO, Leibniz
University, Hanover,
Germany
National Time Service
Center, Chinese
Academy of Science,
China
IQO, Leibniz
University, Hanover,
Germany
University of
Strathclyde, UK
Ferdinand-BraunInstitut, Germany
Heinrich-HeineUniversität
Düsseldorf, Germany
Heinrich-HeineUniversität
Düsseldorf, Germany
DLR-Institute of
Space System,
Germany
Humboldt- Universität
zu Berlin, Germany
University of Western
Australia, Australia
Heinrich-HeineUniversität
Düsseldorf, Germany
SYRTE / Observatoire
de Paris / UPMC,
France
University of Ulm,
Germany
SYRTE / Observatoire
de Paris / UPMC,
France
Board n.
Abstract Title
Proposal for Atom Cooling Approach in Space and a Cold
Atom Experimental System in Chinese Space Station –
p.11
Testing Lorentz Invariance and Einstein’s Equivalence
Principle – p.12
Towards Precision Measurements in Space with Clocks
and Atom Interferometers – p.13
Continuous Material Space with Local Equivalency of
Inertial and Gravitational Mass Densities can be Justified
by Precise Clocks – p.15
3
4
5
Microwave Clock Cavity Simulation for the STE-QUEST
Mission – p.16
6
PHARAO: A Cold Cesium Clock for Space Applications p.23
7
Testing Chameleon Scalar Fields With STE-QUEST – p.24
8
Chip-based BEC Interferometry in Microgravity – p.28
9
Introduction of Time and Frequency Package for China
Space Station Project – p.30
10
Atom Interferometry for Inertial Sensing and Fundamental
Physics at the IQO – p.31
11
Grating Chips for Quantum Technologies – p.33
Compact Semiconductor Laser Modules Designed for
Precision Quantum Optical Experiments in Space – p.35
Tests of Irradiation Robustness of a Fabry Perot Resonator
Comprising High-finesse Fused Silica Mirrors and a ULE
Spacer – p.41
12
13
14
Development of a Robust Demonstrator for an Ultra-stable
Optical Cavity for the STE-QUEST Mission – p.42
15
STE-QUEST Atom Interferometer (ATI) Payload
Overview – p.44
Laser System for Dual Species Interferometry with 87Rb
and 85Rb on STE-QUEST – p.46
An Optical Link for the ACES and STE-QUEST Missions
in Western Australia –p. 48
16
17
18
Microwave Generation from Optical Frequency Combs –
p.50
19
Time and frequency transfer with the ESA/CNES ACESPHARAO mission – p.51
20
Overcoming loss of contrast in atom interferometry due to
gravity gradients – p.52
21
Towards a Free Space Satellite to Ground Coherent Optical
Link – p.56
5
Feldmann, T.
Gill, P.
Schubert, C
TimeTech GmbH
National Physical
Laboratory
IQO, Leibniz
University, Hanover,
Germany
Microwave Link Design and Optical Link Design for
Future Scientific Space Missions – p.58
Towards a Space-qualified High-finesse Cavity for Optical
Clocks – p.60
22
23
STE-QUEST Mission: Atom Interferometer Performance
Assessment and Error Estimations – p. 36
24
6
List of Registered Participants
Name
Aben, Guido
Email
[email protected]
Institution
AARNet p/l
Country
Australia
Angelil, Raymond
[email protected]
ITP, University of Zurich
Switzerland
Arnold, Aidan
[email protected]
University of Strathclyde
United Kingdom
Bawamia, Ahmad
[email protected]
Ferdinand-Braun-Institut
Germany
Beck, Felix
[email protected]
ASTRIUM
Germany
Binetruy, Pierre
[email protected]
APC, Universite Paris Diderot
France
Bondarescu, Mihai
[email protected]
Universitatea de Vest
Romania
Bondarescu, Ruxandra
[email protected]
University of Zurich
Switzerland
Bongs, Kai
[email protected]
[email protected]
r
University of Birmingham
United Kingdom
LP2N - IOGS
France
Bouyer, Philippe
Bulyzhenkov, Igor
[email protected]
Cacciapuoti, Luigi
[email protected]
Moscow Institute of Physics
and Technology
European Space Agency
Capozziello, Salvatore
[email protected]
Università di Napoli Federico II
Italy
Carraz, Olivier
[email protected]
ESA - ESTEC - EOP/SF
Netherlands
Carvalho, Carla Sofia
Chiodo, Nicola
[email protected]
Delva, Pacôme
[email protected]
Duev, Dmitry
[email protected]
CAAUL, University of Lisbon
Heinrich-Heine-Universität
Düsseldorf
Peking University
SYRTE, CNRS UMR8630,
UPMC.Observatoire de Paris
Observatoire de Paris / UPMC
Joint Institute for VLBI in
Europe
Portugal
Chen, Xuzong
[email protected]
[email protected]
[email protected]
Dufour, Carole
carole.dufour@thalesaleniaspace.
com
Thales Alenia Space
France
Ernsting, Ingo
[email protected]
Feldmann, Thorsten
[email protected]
antonella.ferri@thalesaleniaspace.
com
Chen, Qun-Feng
Ferri, Antonella
Gaaloul, Naceur
[email protected]
Gehler, Martin
[email protected]
Giese, Enno
[email protected]
Gill, Patrick
[email protected]
Giulini, Domenico
[email protected]
Hanado, Yuko
Hartwig, Jonas
[email protected]
Guerlin, Christine
Gürlebeck, Norman
Thales Alenia Space
IQO, Leibniz University,
Hanover, Germany
ESA
Institut für Quantenphysik,
Universität Ulm
National Physical Laboratory
ZARM Bremen and University
of Hannover
davide.granasomministrato@thalesaleniaspace
.com
[email protected]
[email protected]
[email protected]
Granà, Davide
Heinrich-Heine-Universität
Düsseldorf
TimeTech GmbH
7
Russian Federation
Netherlands
Germany
China
France
France
Netherlands
Germany
Germany
Italy
Germany
Netherlands
Germany
United Kingdom
Germany
Wintime SpA
Italy
LKB
France
ZARM, University Bremen
Germany
NICT
Japan
Institute for Quantumoptics
Germany
Hauth, Matthias
[email protected]
Humboldt-Universität zu Berlin
Germany
Heske, Astrid
ESA ESTEC
Netherlands
ASTRIUM
Germany
Holzwarth, Ronald
[email protected]
Gerald.Hechenblaikner@astrium.
eads.net
[email protected]
Menlo Systems GmbH
Germany
Iess, Luciano
[email protected]
Università La Sapienza
Italy
Jetzer, Philippe
[email protected]
University of Zurich
Switzerland
Kasevich, Mark
Stanford University
United States
Humboldt-Universität zu Berlin
Germany
Le Goff, Roland
[email protected]
[email protected]
[email protected]
Sodern
France
Lambiase, Gaetano
[email protected]
University of Salerno
Italy
Landragin, Arnaud
[email protected]
SYRTE, Observatoire de Paris
France
Lecomte, Steve
[email protected]
CSEM
Switzerland
Leon Hirtz, Sylvie
[email protected]
France
Lundgren, Andrew
[email protected]
CNES
Albert Einstein Institut
Hannover
Thales Alenia Space Italy
Italy
ZARM, University of Bremen
Germany
ESA
Netherlands
UC Berkeley
Institut für Experimentalphysik
Heinrich-Heine-Universität
Düsseldorf
National Institute of Standards
and Technology
Joint Institute for VLBI in
Europe (JIVE)
Leibniz University Hannover
United States
University of Ulm
Laboratoire Kastler Brossel,
Ecole Normale Supérieure,
Paris
University of Western Australia
Heinrich-Heine-Universität
Düsseldorf
Institut für Quantenphysik,
Universität Ulm
Gottfried Wilhelm Leibniz
Universität Hannover
DLR - Institute of Space
Systems
Germany
Thales TRT
France
Institute for Theoretical Physics
Switzerland
National Physical Laboratory
University of Bern, Institute of
Applied Physics
Physikalisch-Technische
Bundesanstalt
United Kingdom
Hechenblaikner, Gerald
Krutzik, Markus
Miquel Espana, Cesar
alessandra.marcer@thalesaleniasp
ace.com
[email protected]
[email protected]
Mueller, Holger
[email protected]
Nevsky, Alexander
[email protected]
Oates, Chris
[email protected]
Pogrebenko, Sergei
[email protected]
Rasel, Ernst Maria
[email protected]
Roura, Albert
[email protected]
Salomon, Christophe
[email protected]
Schediwy, Sascha
[email protected]
Schiller, Stephan
[email protected]
Schleich, Wolfgang
[email protected]
Schubert, Christian
[email protected]
Schuldt, Thilo
[email protected]
Marcer, Alessandra
Milke, Alexander
Schärer, Andreas
[email protected]
m
[email protected]
Shemar, Setnam
[email protected]
Stefanov, Andre
[email protected]
Sterr, Uwe
[email protected]
Svehla, Drazen
[email protected]
Tasson, Jay
[email protected]
Schwartz, Sylvain
Germany
Germany
United States
Netherlands
Germany
France
Australia
Germany
Germany
Germany
Germany
Switzerland
Germany
Germany
Carleton College
8
United States
Dipartimento di Fisica, LENS,
Università Firenze
LNE-SYRTE, Observatoire de
Paris
LaserLaB VU university
Tino, Guglielmo M.
[email protected]
Tuckey, Philip
[email protected]
Vassen, Wim
[email protected]
Waller, Pierre
[email protected]
[email protected]
[email protected]
[email protected].
net
Wicht, Andreas
Wille, Eric
Williams, Michael
Wolf, Peter
[email protected]
Yu, Nan
[email protected]
Zhang, Shougang
[email protected]
Zelan, Martin
[email protected]
France
Netherlands
ESA/ESTEC
Netherlands
Ferdinand-Braun-Institut
Germany
ESA
Netherlands
Astrium Ltd.
United Kingdom
Observatoire de Paris - LNE CNRS - UPMC
Jet Propulsion Laboratory
National Time Service Center,
Chinese Academy of Science
SP Technical Research Institute
of Sweden
9
Italy
France
United States
China
Sweden
Abstracts
10
Proposal for Atom Cooling Approach in Space
and a Cold Atom Experimental System in Chinese Space Station
Xuzong Chen
Institute of Quantum Electronics, School of Electronics Engineering and Computer Science, Peking
University, Beijing 100871, China
[email protected], Homepage:http://iqe.pku.edu.cn/
Abstract. The talk introduces the proposal for atom cooling approach in space and a cold atom
experimental system in Chinese space station. In the first part, the talk analyzes the relation between
the critical temperature for quantum gas with the trap frequency, and proposes two approaches to cool
the quantum gas to pK temperature in space. In the second one, the talk introduces the design for the
cold atom experimental system on Chinese space station, which is planned to be launched in 2018, the
challenges for the technology of lasers and electronics system are commented,. In the third one, the talk
introduces the six foundamental physics experiments based on quantum gas will be carried in the cold
atom plateform in the Chinese space station.
REFERENCES
Xinxing Liu, Xiaoji Zhou,Wei Xiong, Thibault Vogt, and Xuzong Chen, Rapid nonadiabatic loading in an
optical lattice, Phys. Rev. A 83, 063402 (2011).
Bo Lu, Thibault Vogt, Xinxing Liu, Xu Xu, Xiaoji Zhou, and Xuzong Chen, Cooperative scattering
measurement of coherence in a spatially modulated Bose gas, Phys. Rev. A 83, 051608(R) (2011).
Xinxing Liu, Xiaoji Zhou, Wei Zhang, Thibault Vogt, Bo Lu, Xuguang Yue, and Xuzong Chen, Exploring
multiband excitations of interacting Bose gases in a one-dimensional optical lattice by coherent scattering, Phys.
Rev. A 83, 063604 (2011).
Thibault Vogt, Bo Lu, XinXing Liu, Xu Xu, Xiaoji Zhou, and Xuzong Che, Mode competition in superradiant
scattering of matter waves, Phys. Rev. A 83 053603 (2011)
Jun Duan, Xianghui Qi, Xiaoji Zhou, and Xuzong Chen, Detection of saturated absorption spectroscopy at high
sensitivity with displaced crossovers, Opt. Lett. 36,561 (2011).
11
Testing Lorentz Invariance and Einstein’s Equivalence Principle
Michael A. Hohensee and Holger Müller
Physics Department, University of California, Berkeley, CA 94720
The Einstein equivalence principle holds that the influence of gravity is the same for all systems, e.g.
protons, neutrons, or electrons, be they normal matter or antimatter [1]. The quantum weak
equivalence principle (QWEP) project will test the equivalence principle by matter-wave
interferometry, making use of a microgravity environment to attain high sensitivity. We will discuss
theoretical and experimental aspects of this experiment.
While the equivalence principle has been verified with high precision using normal matter [2], direct
experimental tests for antimatter are ongoing. We work in the context of the standard model extension,
an effective field theory that describes multiple paths by which the equivalence principle can be
violated. This theory specifically includes a ‘hidden’ limit, where the equivalence principle holds for
free particles of normal matter, but not for their antimatter counterparts [3]. We find that such hidden
violations can nevertheless be detected using normal matter by observing the motion of bound systems
of particles, in direct proportion to the bound kinetic energy within such systems [4,5]. We show that
QWEP would not only improve existing limits on EEP-violation for normal matter, but could also
improve indirect limits on antimatter-specific EEP-violation.
The accuracy of atom interferometers is directly determined by its ability to suppress systematic
effects. This can be achieved through judicious choice of interferometer geometry and the atom-optics
used. We will compare geometries based on Raman transitions, Bragg diffraction, double diffraction,
and Bloch oscillations, and new technologies that have been developed recently by us.
REFERENCES
[1]
[2]
[3]
[4]
[5]
C.W. Misner, K.S. Thorne, and J.A. Wheeler, Gravitation, (W.H. Freeman and Company, New York, USA,
1973).
C.M. Will, Theory and Experiment in Gravitational Physics, (Cambridge University Press, Cambridge,
U.K.; New York, USA. 1993), 2nd edition.
V.A. Kostelecky and J.D. Tasson, Phys. Rev. D 83, 016013 (2010).
M.A. Hohensee, S. Chu, A. Peters, and H. Müller, Phys. Rev. Lett. 106, 151102 (2011).
M.A. Hohensee and H. Müller, to be published.
12
Towards Precision Measurements in Space with Clocks and Atom
Interferometers
Nan Yu
Jet Propulsion Laboratory, California Institute of Technology, Pasadena, CA, USA
[email protected]
Abstract. Space provides a unique experimental environment to explore the fundamental physics and
quantum phenomena that are not possible in terrestrial research labs. The favorable space conditions
include microgravity and low vibrations that are particularly attractive for cold atom based
experiments. The space platforms also permit investigations of physical phenomena over large spatial,
velocity, and gravitational variations.
In this talk, we will summarize our efforts in developing and maturing relevant technologies for spacebased fundamental physics experiments. We have been focusing our research and development
activities in two main topical areas – advanced frequency standards and atom interferometers. In the
area of clocks, we will briefly describe Hg+ ion clocks, the ground LITS clocks and their participation
of the ACES ground clock network, and the more compact space clock for deep space. We will then
present our approaches on a miniature optical clock and a coherent optical transponder for optical
frequency link. In the atom interferometer area, we will report our progress in developing the
transportable gravity gradiometer. We will also briefly introduce the CAL project, an ultra-cold atom
facility on ISS, its science objectives and implementation.
13
Extended Theories of Gravity and Fundamental Physics
S. Capozziello,G. Lambiase
1
Universita' di Napoli "Federico II"
Complesso Universitario di Monte S. Angelo
Via Cinthia, Ed. N I-80126 Napoli - Italy
[email protected]
Abstract. Extended theories of gravity are formulated with the aim to address problems like Dark
Energy and Dark Matter at infrared scales and the problem of quantization of gravity at ultraviolet
scales.
The paradigm consists in adding high order terms in curvature invariants and/or scalar fields in the
Hilbert-Einstein action with the goal to cure shortcomings of standard general relativity.
We discuss connections of these theories with fundamental physics, in particular, in view of testing the
equivalence principle at quantum level.
STE-QUEST could provide the experimental tools to probe viable models.
14
Continuous Material Space with Local Equivalency of Inertial and Gravitational
Mass Densities can be Justified by Precise Clocks
I. Bulyzhenkov
Moscow Institute of Physics & Technology and Lebedev Physics Institute RAS,
[email protected], [email protected]
Abstract. Non-empty space paradigm for reality can be described in mathematical terms of Einstein’s
General Relativity (GR), but with continuous inertial masses integrated into the very spatial structure of
their gravitational fields. Joint geometrization of the continuous particle and its GR field reveals the
physical meaning of 1902 Ricci scalar R ≡ gµνRµν = 8πG(µp + µa)/c2 as the scalar mass density of
material space, which is the flat 3D section of the curved 4D pseudo-Riemann manifold. Such a
material space is continuously filled everywhere by equal passive (inertial µp) and active (gravitational
µa) mass-densities causing local metric stress, goo≠1, or the gravitational potential W(x)≡ - c2ln(1/√goo)
= - c2ln[1+ (Gm1/ c2|x-a1 |) +…+ (Gmn/ c2|x-an |)]. The Principle of Equivalence µp ≡(∇W)2 /4πG c2
=∇2W /4πG≡ µa provides an additional equation for metric component goo that makes GR of nonempty space a self-contained theory without needs in the Newton weak-field reference. The emptyspace GR predicts Schwarzschild time dilation (dτ-dt)/dt≡√goo -1=φ(1- φ/2c2)/ c2 in negative weak
potential φ, while non-empty space relativistic physics corresponds to another time dilation, φ(1+
φ/2c2)/c2. The Newton potential φ is time-varying in the Earth-Sun-Moon system and precise clocks
can distinguish non-empty space reality from the empty space model with non-physical delta-operator
density of particles. Would time-dilation measurements justify the non-empty space paradigm in
practice, than 3D space keeps strictly Euclidean subinterval (due to inherent 4D metric symmetries) in
the pseudo-Riemann metric formalism of Einstein’s gravitation. Such a flat space in strong fields is
required for quantization and for further unification of metric gravity with other forces in the quantum
world.
REFERENCES
Einstein, A., Infeld, I., and B. Hoffmann, Ann. Math. 39, 65 (1938).
Hilbert, D., Nachrichten K. Gesellschaft Wiss. Gøttingen, Math-Phys. Klasse, Heft 3, 395 (1915).
Mie, G., Ann. Phys. (Berlin) 37, 511 (1912); Ann. Phys. (Berlin) 39, 1 (1912); Ann. Phys. (Berlin) 40, 1 (1913).
Schwinger, J., in Quantum, Space and Time - The Quest Continues, Ed. by A. O. Barut, A. Van der Merwe, and J.P. Vigier (Cambridge Univ. Press, Cambridge, 1984), pp. 620-627.
Tonnelat, M.-A., Les Principles Theorie Electromagnetique et Relativite (Masson, Paris, 1959).
Schwinger, J., in Quantum, Space and Time - The Quest Continues, Ed. by A. O. Barut, A. Van der Merwe, and J.P. Vigier (Cambridge Univ. Press, Cambridge, 1984), pp. 620-627.
Bulyzhenkov, I. E., Int. J. Theor. Phys. 47, 1261-1269, 2008.
Bulyzhenkov, I. E., J. Supercond. Nov. Magn. 22, 723-727, 2009.
Bulyzhenkov, I. E., J. Supercond. Nov. Magn. 22, 627-629, 2009.
Bulyzhenkov, I. E., Applied Physics (in Russian N6, 205-212 (2011).
Bulyzhenkov, I. E., Engineering Physics (in Russian) N7, 3-9 (2011).
Bulyzhenkov, I. E., J. Modern Physics, 3, N.10, 1465-1478 (2012).
15
Microwave Clock Cavity Simulation for the STE-QUEST Mission
A. Stefanov1
1
University of Bern, Institute of Applied Physics, Sidlerstrasse 5, CH-3012 Bern
[email protected]
Abstract. One of the fundamental limitations on the accuracy of a microwave atomic clock is given by
the non uniform distribution of the field within the microwave cavity. In an atomic standard with
moving atoms, the atoms interact twice with the microwave in a cavity. Due to the residual divergence
of the atomic beam, the interaction is not guaranteed to occur twice at the very same position within the
cavity. Thus in the presence of phase gradients, the atoms will be subjected to two interactions with a
phase difference ∆φ. In a Ramsay interferometer, two dephased interactions at the clock transition
frequency separated by a time T are interpreted as a frequency shift of ∆f = ∆φ /2πT. Hence a phase
gradient leads directly to a frequency shift of the frequency standard as a function of the atomic
trajectories, and the accuracy of the standard is ultimately limited by the knowledge of both the phase
distribution and the atomic trajectories distribution.
The first action to reduce this source of uncertainty is to design the microwave cavity such that the
phase gradients are minimized. The remaining phase gradient needs then to be estimated for the final
uncertainty budget. The phase of the field can however only be probed with sufficient accuracy by the
atoms themselves. Therefore measurements of frequency shifts for varying the atomic trajectories have
to be performed and a model of the phase gradients has to be used to fit those measurements. For
thermal beam Cs standards, the phase gradients due to losses in the cavity walls are minimized by
designing the cavity such that the atoms are subjected to two travelling waves coming from opposite
directions [1]. The end-to-end cavity phase shift resulting from a cavity difference due to an asymmetry
of the cavity can be evaluated by reversing the atomic beam [2]. In vertical atomic fountains the
evaluations of the phase gradient have been done based on the theory developed in [3] and [4]. Recent
measurements on vertical atomic fountains showed good agreement with this theory [5–7].
One can distinguish two types of phase gradients, the ones originating from an imperfection of the
cavity construction and the ones intrinsic to the design. The first ones cannot be numerically evaluated
and can only be revealed by experiment. The second category of phase gradients can be evaluated
analytically only for very simple geometries and in general require numerical computations.
We present here a full 3D Finite Element Method (FEM) computation of the phase gradient for a cavity
close to the one planned to be used for the clock of the STE-QUEST mission. The simulations are done
using the RF module of the COMSOL software.
In the first part we present simulations done for cylindrical geometries, which can be compared with
already published results from numerical simulations and analytical evaluations. The purpose is to
validate the simulation method. In a second part we present results for the design of the STE-QUEST
cavity, both for eigenmode simulations of the cavity only and for port excitation computations (figure
1).
16
FIGURE 1. Map of the norm (links) and of the phase (right) of the longitudinal component of the H field when
excited at resonance by the input port slit at the top of the cavity. The phase spans a range of spans 0.13 mrad.
ACKNOWLEDGMENTS
This research was supported by the Swiss Space Office.
REFERENCES
[1] A. de Marchi, J. Shirley, D. J. Glaze, and R. Drullinger, “A new cavity configuration for cesium beam
primary frequency standards,” IEEE Transactions on Instrumentation and Measurement, vol. 37, no. 2, pp.
185–190, Jun. 1988.
[2] C. Audoin and J. Vanier, The quantum physics of atomic frequency standards. Adam Hilger, 1989.
[3] R. Li and K. Gibble, “Phase variations in microwave cavities for atomic clocks,” Metrologia, vol. 41, no. 6,
pp. 376–386, Dec. 2004.
[4] R. Li and K. Gibble, “Evaluating and minimizing distributed cavity phase errors in atomic clocks,”
Metrologia, vol. 47, no. 5, pp. 534–551, Oct. 2010.
[5] J. Guéna, R. Li, K. Gibble, S. Bize, and A. Clairon, “Evaluation of Doppler Shifts to Improve the Accuracy of
Primary Atomic Fountain Clocks,” Physical Review Letters, vol. 106, no. 13, pp. 1–4, Apr. 2011.
[6] R. Li, K. Gibble, and K. Szymaniec, “Improved accuracy of the NPL-CsF2 primary frequency standard:
evaluation of distributed cavity phase and microwave lensing frequency shifts,” Metrologia, vol. 48, no. 5, pp.
283–289, Oct. 2011.
[7] S. Weyers, V. Gerginov, N. Nemitz, R. Li, and K. Gibble, “Distributed cavity phase frequency shifts of the
caesium fountain PTB-CSF2,” Metrologia, vol. 49, no. 1, pp. 82–87, Feb. 2012.
17
Optical Frequency Divider based on Passively Mode-locked Diode-pumped
Solid-state Laser Technology
S. Lecomte, S. Kundermann, E. Portuondo-Campa, G. Buchs
Centre Suisse d’Electronique et de Microtechnique, Jaquet-Droz 1, 2000 Neuchâtel, Switzerland
[email protected]
Abstract. In order to improve the frequency stability of the STE-QUEST cold atom atomic clock
system over the PHARAO clock system of the ACES (Atomic Clock Ensemble in Space) mission, a
microwave optical local oscillator (MOLO) will replace the quartz-based local oscillator. Key
elements of the MOLO are a cavity-stabilized continuous-wave laser and an optical frequency comb.
Here we present an optical frequency comb based on passively mode-locked diode-pumped solid-state
laser (DPSSL) technology which appears to be very promising for fulfilling the mission constraints.
Optical frequency combs are usually based on Ti:Sapphire or fiber laser technology. Because of its
complex pump laser system and low power efficiency, Ti:Sapphire is a prohibitive technology for
space applications. Fiber lasers are therefore more attractive. For self-referenced fiber lasers (at 1 or
1.5 µm), an architecture based on fiber oscillator plus fiber amplifier is necessary. However, a major
concern for space-qualification of fiber lasers is the radiation hardness of the doped fiber which is a
well-known challenge [1]. So far no appropriate solution has been demonstrated for solving this
problem.
In order to get an optical frequency comb fully compatible with space constrains, we investigate an
alternative technology based on passively mode-locked diode-pumped solid-state laser (DPSSL)
technology. Such lasers are pumped with the same diode type as fiber lasers. These pump diodes are
Telcordia-qualified with impressive robustness and mean-time-to-failure (MTTF). The laser gain
medium is based on Yb- or Er-doped crystals or glasses, and mode-locking is achieved passively with a
semiconductor saturable absorber mirror (SESAM). Finally the laser cavity is made of mirrors with
free-space beam propagation (see for example ref [2]). These lasers are inherently low noise because
of the low loss / low gain laser cavity (similar to Ti:sapphire lasers but opposite to fiber lasers which
show high-gain / high loss) that limits the impact of fundamental noise coming from spontaneous
emission [3].
Typical laser performances are output powers above 100 mW, clean transform-limited soliton pulses in
the 100 - 200 fs range and repetition rates in the order of 10’s to 100’s of MHz. Because of the high
power level directly available from the oscillator the fiber amplifier can be avoided, hence simplifying
the system architecture.
CSEM investigated several key aspects of this technology for space qualification. Proton radiation
hardness of different gain media has been tested and no detrimental effect has been detected. Pulse
timing jitter of such free-running lasers has been measured with sub-100 attoseconds integrated jitter
[from 10 kHz to 5 MHz] as well as relative intensity noise below -156 dBc/Hz validating the very lownoise operation. Furthermore, state-of-the-art ultra-low phase-noise microwave generation has been
demonstrated [4]. Also, vibration tests have been performed and showed promising results. Indeed, the
laser (which is not engineered for space) already successfully passed a demanding Ariane-5 launch
acceptance test. All these results will be presented at the workshop as well as the planned tests to be
performed until the end of the assessment study. So far this approach appears to be an ideal solution
for a space-qualified optical frequency comb.
ACKNOWLEDGMENTS
The authors would like to thank Rüdiger Paschotta from RP Photonics for collaboration in the timing
jitter measurements. Financial support from the Canton of Neuchâtel, the Swiss Space Office and the
Prodex office is acknowledged.
18
REFERENCES
[1] Lezius M., Predehl K., Stöwer W., Türler A., Greiter M., Hoeschen Ch., Thirolf P., Assmann W., Habs D.,
Prokofiev A., Ekström C., Hänsch T. W., and Holzwarth R., Radiation Induced Absorption in Rare Earth
Doped Optical Fibers, IEEE Transactions on nuclear science 59, 425-433 (2012).
[2] Spühler G. J., Krainer L., Innerhofer E., Paschotta R., Weingarten K. J., and Keller U., Soliton mode-locked
Er:Yb:glass laser, Opt. Lett. 30, 263-265 (2005).
[3] Paschotta R., Noise of mode-locked lasers. Part II: Timing jitter and other fluctuations, Appl. Phys. B 79, 163173 (2004).
[4] Meyer S., Fortier T. M., Lecomte S., Diddams S. A., A frequency-stabilized Yb :KYW femtosecond laser
frequency comb and its application to low-phase noise microwave generation, to appear in Appl. Phys. B.
19
Spacecraft Clocks and General Relativity
R. Angélil, P. Saha
Institute for Theoretical Physics, University of Zurich
Winterthurerstrasse 190
8057 Zurich
Switzerland
[email protected]
Abstract. Most discussion of relativity and STE-quest has focused on gravitational time dilation,
which is the first relativistic correction, well-known from GPS satellites. But gravity has several more
subtle effects on spacecraft clocks.
Gravity affects not just time, but space also - modifying the clock's trajectory in curious ways. STEquest is a freely falling clock; and sending tick signals to be compared with another clock on Earth
allows for the recovery of the clock's 4D worldline through space-time. If systematics can be
sufficiently taken care of, STE-quest will manage to perform a plethora of tests of general relativity:
All the classic tests, tests of higher-order gravitational time dilation, higher-order space curvature,
frame-dragging, and possibly even the never-measured-before spin-squared effects. STE-quest timing
is sensitive to GR perturbations in two ways - firstly through influences acting on the spacecraft's orbit
itself, and secondly by curving the tick-signals as they travel from the satellite, through the Earth's
gravitational field, to the waiting observer-clock on the Earth.
We have performed numerical calculations which add relativistic perturbations to the orbit trajectory,
as well as to the tick-signal trajectories. The satellite falls freely around the Earth on a relativistic orbit.
The onboard clock 'ticks' in equal intervals of proper time, and broadcasts the fact, sending them on
trajectories to the observer, who has a second clock. This clock is used to record the times-of-arrival of
the remote clock's ticks.
FIGURE 1. A clock orbits (black line) the Earth on an eccentric relativistic orbit. As it orbits, it sends ticks to a
second clock located on the Earth (blue marker). These tick signals propagate on relativistic trajectories (not
shown) to the Earth-based clock.
To calculate the timing shift due to each effect, whether on the orbit or on the signal paths, we calculate
the rate at which the clocks disagree first with the effect present, and then without. The difference is the
redshift signal due to this effect. This abstract explores seven effects. Four are effects on the orbit, and
three on signal paths.
20
Leading-order gravitational time dilation: One of the earliest predictions of General Relativity, a
consequence of the Einstein Equivalence Principle, and routinely taken into account by GPS satellites.
This has been well-tested. It affects the orbit only, not the signals.
Space curvature: This is the first correction which bends space beyond the classical. Orbits are no
longer conic sections, they precess. This has been observed on Mercury's orbit around the Sun, and in
binary pulsar systems. Tick-signal trajectories are now bent – the photons do not move in straight
lines. The contribution to timing is sometimes referred to as the Shapiro delay. Both these effects are
easily with STE-quest's range.
Frame-dragging: Earth's angular momentum causes a 'dragging' of space and time around the Earth.
This is a consequence from the Kerr metric. Not only does the orbit precess, but the clock itself
experiences a time dilation. It has been measured around the Earth by Gravity Probe B. It affects the
orbit well as signals. Still within STE-quest's design capabilities.
Spin-squared effects: Another set of predictions from the Kerr metric; a multitude of various effects
enter the game here, all proportional to the square of the Earth's spin parameter. Orbits and signals have
counterintuitive trajectories. This has never been tested before. They are within STE-quest's range in
optimistic scenarios.
FIGURE 2. Redshift (or derivative of time delay) signals from a variety of GR effects. The satellite has been
allowed to orbit the Earth three times. The redshift residuals in the left column are due to the presence of a specific
type of space-time curvature acting on the orbit, while those in the right column are the same curvature, yet acting
on the tick signal propagation paths.
21
Given the amplitudes of some of these effects on the redshift (figure 2), if STE-quest aims to achieve a
one-part-in-a-million recovery of the leading-order gravitational time dilation signal (first plot in figure
2), other relativistic perturbations cannot be ignored. Fortuitously, this means all of the alreadyperformed geodesic tests of general relativity, as well as a few more, may be possible with the STEquest experiment, provided the systematics can be handled.
ACKNOWLEDGMENTS
R.A. is supported by the Swiss National Science Foundation.
22
PHARAO: A Cold Cesium Clock for Space Applications
P. Laurent1, M. Abgrall1, I. Morici1, P. Lemonde1, G. Santarelli1, A. Clairon1, S. Bize1, D. Rovera1, J.
Guena1, C. Salomon2, F. Picard3, O. Grosjean3, C. Delaroche3, J-F. Vega3, B. Leger3, M. Saccoccio3, I.
Zenone3, B. Faure3, C. Sirmain3, D. Massonnet3, S. Leon3, S. Beraud3, F. Buffe3, P. Lariviere3, C.
Escandes3, N. Ladiette3, B. Vivian3, D. Blonde3, M. Chaubet3, C. Luitot3, P. Chatard4,C.M. De Graeve4,
C. Maces5, S. Thomin5, J.P. Lelay5, T. Potier6, Y. Cossart6, T. Nauleau7, A. Granget8
LNE-SYRTE, 61 av. de l’Observatoire, 75014 PARIS, France.
Laboratoire Kastler-Brossel, CNRS, 24 rue Lhomond, 75231 PARIS, France.
CNES, 18 avenue Edouard Belin, 31401 TOULOUSE cedex, France
Sogeti, 57 avenue du G. Decrouttes , 31100 Toulouse, France.
Sodern, 20 Avenue Descartes,B.P. 23, 94451 LIMEIL-BREVANNES Cedex, France.
THALES, 2 avenue Gay-Lussac, 78851 ELANCOURT cedex, France
CS SI, ZAC de la Plaine – Rue Brindejonc des Moulinais, – BP 5872, 31506 TOULOUSE cedex 5,
France
EREMS, Chemin de la Madeleine, ZI, 31130 FLOURENS, France.
Abstract. SYRTE and CNES are developing a primary frequency standard, called PHARAO, which is
specially designed for space applications. The clock signal is referenced on the frequency measurement
of the hyperfine transition performed on a cloud of cold cesium atoms (~1µK). The transition is
induced by an external field feeding a Ramsey cavity. In microgravity the interaction time inside the
cavity can be adjusted over two orders of magnitude by changing the atomic velocity in order to study
the ultimate performances of the clock. An engineering model has been assembled to validate the
architecture of the clock. This model has been fully tested on ground for operation faults. Of course the
clock performances are reduced by the effect of the gravity on the moving atoms. The main results are
a frequency stability of 3.3x10-13t-1/2. The main systematic effects have been analyzed and their
frequency uncertainties contributions is 1.3x10-15. The clock has been compared with the PFS mobile
fountain of SYRTE. The mean frequency shift is lower than 2.10-15. The mechanical and thermal
space qualifications have been carried out by testing a representative mechanical model of the clock
and by using refined calculations. The design of the clock has been improved and now the flight model
is being assembled. The PHARAO clock is a key instrument of the European ESA space mission called
ACES. This mission is dedicated to perform space-time measurements and test some fundamental
physics aspects. The expected performances of PHARAO will be 10-13t-1/2 in frequency stability and
lower than 3x10-16 in frequency accuracy.
23
Testing Chameleon Scalar Fields With STE-QUEST
A. Schärer1, R. Bondarescu1, P. Jetzer1, A.P. Lundgren2
1
Institute for Theoretical Physics, University of Zürich, Winterthurerstr. 190, 8057 Zürich, Switzerland
2
Albert Einstein Institut, Callinstr. 38, 30167 Hannover, Germany
[email protected]
Abstract. STE-QUEST provides a unique possibility to constrain chameleon scalar field models
where the coupling to matter depends on the surrounding matter density. In dense environments such as
on the surface of the Earth the effective mass of the scalar particle becomes very large, suppressing the
fifth force mediated by the field. In space, the small background density allows a positive detection of
such a fifth force at a level that already has been excluded by experiments on Earth. If the scalar field
couples differently to different species of matter, this causes a violation of the universality of free fall.
In this poster, we show how STE-QUEST can constrain chameleon models which couple differently to
the two Rb isotopes used in the atom interferometer on-board the satellite. Additionally, the presence of
such a scalar field causes the gravitational red shift to deviate from the one expected in general
relativity. Therefore the accurate tracking of the satellite on its elliptical orbit together with the atomic
clock can further constrain chameleon models.
24
Tests of Lorentz Symmetry with STE-QUEST
Jay D. Tasson1, Brett Altschul2, Quentin G. Bailey3
1
2
Physics and Astronomy Department, Carleton College, Northfield, MN 55057
Department of Physics and Astronomy, University of South Carolina, Columbia, SC 29208
3
Physics Department, Embry-Riddle Aeronautical University, Prescott, AZ 86301
[email protected]
Abstract. The experimental investigation of Lorentz and CPT symmetries could provide a window into
previously unprobed interactions—perhaps related to quantum gravitational effects at the Planck scale.
The general effective field theory that incorporates Lorentz and CPT violation is the Standard-Model
Extension (SME). Hence the SME provides a theoretical framework for analyzing and reporting
results of experiments having the ability to test Lorentz and CPT symmetry. The STE-QUEST mission
transports sensitive experiments among a wide range of Lorentz frames providing an extremely
advantageous platform for testing Lorentz and CPT symmetries. This talk will provide an overview of
the SME and a summary of the Lorentz-Symmetry tests that could be performed by the STE-QUEST
mission. Clock experiments performed by the mission would result in sensitivities to up to 25
coefficients in the proton sector, with sensitivity levels ranging from 10−21 down to 10−28. A further 18
electron-sector coefficients may be constrained by these tests with potentially 10−19 to 10−27 level
sensitivities. Lorentz violation also results in effective Weak Equivalence Principle (WEP) violation
with a signature qualitatively different from other sources of WEP violation. The WEP tests planed for
STE-QUEST would provide sensitivities to an additional 8 combinations of coefficients for Lorentz
violation reaching levels ranging from 10−11 to 10−14. For most of these coefficients, these are
unprecedented levels of sensitivity.
25
Quantum Mechanics at the Interface with Gravity
Wolfgang P. Schleich
Institut für Quantenphysik and Center for Integrated Quantum Science and Technology (IQST),
Universität Ulm, D-89069 Ulm, Germany
[email protected]
Abstract. Waves are uniquely suited to probe gravity. Tests of this kind not only include
electromagnetic waves but also matter waves. We start our talk by briefly reviewing early proposals to
test metric gravity using ringlaser gyroscopes. These ideas were later extended by employing matter
wave interferometers such as the Kasevich-Chu (KC) interferometer. We provide a representation-free
description of the KC interferometer and show that the phase shift is a consequence of the acceleration
of the atom relative to the acceleration of the laser phases. The proper time difference between the two
paths in the KC interferometer vanishes. This observation is in contrast to the Colella-OverhauserWerner neutron interferometer where the total phase shift is a consequence of a non-vanishing proper
time difference. In this context the recent proposal by Zych et al. is interesting since it proposes an
operational way to measure proper time differences by clocks. We briefly discuss these ideas.
ACKNOWLEDGMENTS
As part of the QUANTUS collaboration, this project is supported by the German Space Agency DLR
with funds provided by the Federal Ministry of Economics and Technology (BMWi) under grant no.
DLR 50WM0837.
REFERENCES
Schleich W., and Scully, M.O., “General Relativity and Modern Optics” in: New Trends in Atomic Physics,
Proceedings of the Les Houches Summer School, Session XXXVIII, 1982, Eds.: R. Stora and G. Grynberg, North
Holland, Amsterdam, 1984, p. 995-1124
Schleich, W.P., Greenberger, D.M., and Rasel, E.M., “The redshift controversy in atom interferometry:
Representation dependence of the origin of phase shift”, Phys. Rev. Lett. 110, 010401 (2013)
Schleich, W.P., Greenberger, D.M., and Rasel, E.M, “A representation-free description of the Kasevich-Chu
interferometer: a resolution of the redshift controversy”, New J. Phys. 15, 013007 (2013)
Greenberger, D.M., Schleich, W.P., and Rasel, E.M., “Relativistic effects in atom and neutron interferometry and
the differences between them”, Phys. Rev. A 86, 063622 (2012)
Zych, M., Costa, F., Pikovski I., and Brukner, C., “Quantum Interferometric visibility as a witness of general
relativistic proper time”, Nature Communications 2:505, doi:10.1038/ncomms1498 (2011)
26
On the Potential of STE-QUEST Clocks for Relativistic Geodesy
R. Bondarescu1, M. Bondarescu2, G. Hetenyi3, L. Boschi3, P. Jetzer1, J. Balakrishna4
1
Institute for Theoretical Physics, University of Zürich, Winterthurerstr. 190, 8057 Zürich, Switzerland
2
Universitatea de Vest, Vasile Parvan 4 Blvd, Timisoara, Romania
3
ETH Zurich, Sonneggstr. 5, 8092, Zurich, Switzerland
4
Harris-Stowe State University, St. Louis, MO 63103, USA
[email protected]
Abstract. Portable atomic clocks such as the ones built for STE-QUEST open many new possibilities
in relativistic geodesy. They provide local, direct measurements of changes in the geopotential that can
be used to determine the small-scale structure of the geoid (the geoid is the equipotential surface of the
Earth that approximates the mean sea level and accounts for all subsurface density variations). Satellite
missions carry out distance measurements at the location of the satellite and map the geoid over the
entire globe. However, they require calibration and extensive computations including integration of
derivatives of the potential, which is a non-unique operation. Additionally, these maps have low
spatial resolution with the distance between the satellite and Earth being an important limiting factor.
Local geoid measurements may be used to calibrate satellite maps and add detail to these maps in
desired regions. Clocks have different depth sensitivity than gravimeters and may be combined with
gravimetric surveying and/or other existent geophysical methods to provide a better understanding of
the local substructure of the Earth. Clocks that measure a frequency change ∆f/f ~ 10-18 would be
sensitive to geoid perturbations caused by a buried sphere of radius of ~1 km with 20% density
anomaly (Bondarescu et al. 2012). Many areas in geophysics may benefit from such measurements
including volcanology and seismology. In particular, I will describe the potential use of clocks for
improving our understanding of volcanoes (Bondarescu et al. 2013; in preparation).
REFERENCES
Bondarescu, R. et al. 2012, Geophysical Applicability of Atomic Clocks: Direct Continental Geoid Mapping,
Express Letter, Geophysical Journal International 191 pp. 78-82.
Bondarescu, R et al. 2013, On the Applicability of Atomic Clocks to Volcanology, In Preparation.
27
Chip-based BEC Interferometry in Microgravity
N. Gaaloul, W. Ertmer and E. M. Rasel, for the QUANTUS team
QUEST, Institute of Quantum Optics - Leibniz University, Hanover, Germany
[email protected]
Abstract. A central goal of modern physics is to test fundamental principles of nature with ever
increasing precision. Atomic quantum sensors are a key-technology for the ultra-precise monitoring of
accelerations and rotations. These sensors evolved to a new kind of optics based on matter waves rather
than light waves. Matter wave optics is still a young, but rapidly progressing science which recently
generated sensational Nobel-prize awarded inventions. It allows for example to compare the free fall of
two atomic clouds of different species, thus testing the weak equivalence principle in the quantum
domain. In a weightless environment the precision of such sensors can be considerably increased by
increasing the free propagation time of the atoms in the interferometer.
In this poster, we present three projects where atom interferometers are realized in compact and
autonomous apparatus suited to operate in µ-gravity environments. At the heart of the three
experiments, atom chips are the key ingredient that allows for an unprecedented miniaturization of
BEC machines. Atom chips have proven to be excellent sources for the fast production of ultra-cold
gases due to their outstanding performance in fast evaporative cooling.
The first generation of experiments consists in a Bragg-type interferometer on a chip operated with
87
Rb atoms in the thermal or Bose-Einstein condensed regime [1]. With the help of delta-kick cooling
[2,3], implemented via the atom chip, we can further slow the expansion of the atoms down. With this
toolbox we could extend the observation of a BEC of only 104 atoms up to two seconds. Benefiting
from the extended free fall in the ZARM drop-tower in Bremen, we could operate an asymmetric
Mach-Zehnder interferometer over hundreds of milliseconds (over 700 ms) to study the coherence and
to analyze the delta-kick cooling with the help of the observed interference fringes [4].
A novel generation of atom chips allows improving the performance of these flexible devices. We have
developed a novel loading scheme that allowed us to produce Bose-Einstein condensates of a few 105
87
Rb atoms every two seconds. The apparatus is also designed to be operated in microgravity at the
drop tower in Bremen, where even higher numbers of atoms can be achieved in the absence of any
gravitational sag. Using the drop tower’s catapult mode, our setup will perform atom interferometry
during nine seconds in free fall. Thus, the fast loading scheme allows for interferometer sequences of
up to seven seconds – interrogation times which are inaccessible for ground based devices. Moreover,
differential interferometry will be performed on the same device with the additional production of a
Potassium quantum degenerate source.
As a next step towards the transfer of such a system in space, either on board the ISS or as a dedicated
satellite mission, a chip-based atom interferometer operating on a sounding rocket is currently being
built. The success of this project would mark a major advancement towards a precise measurement of
the equivalence principle with a space-born atom interferometer.
ACKNOWLEDGMENTS
The QUANTUS cooperation comprises the group of C. Lämmerzahl (Univ. Bremen), A. Wicht (FBH)
A. Peters (Humboldt Univ. Berlin), T. Hänsch/J.Reichel (MPQ/ENS), K. Sengstock (Univ. Hamburg),
R. Walser (TU Darmstadt), and W.P. Schleich (Univ. Ulm).
This project is supported by the German Space Agency Deutsches Zentrum für Luft- und Raumfahrt
(DLR) with funds provided by the Federal Ministry of Economics and Technology (BMWI) under
grant number DLR 50 WM 0346. We thank the German Research Foundation for funding the Cluster
of Excellence QUEST Centre for Quantum Engineering and Space-Time Research.
REFERENCES
[1] T. van Zoest et al., Science 328, 1540 (2010).
28
[2] S. Chu, J. E. Bjorkholm, A. Ashkin, J. P. Gordon, and L.W. Hollberg, Opt. Lett. 11, 73 (1986).
[3] H. Amman and N. Christensen, Phys. Rev. Lett. 78, 2088 (1997).
[4] H. Müntinga et al., Phys. Rev. Lett. 110, 093602 (2013).
29
Introduction of Time and Frequency Package for China Space Station Project
S. Zhang1, T. Liu1, L. Liu2, J. Chen1
1
2
National Time Service Center, Chinese Academy of Sciences, Xi'an 710600, P.R. China
Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Shanghai 201800,
P.R. China
Abstract. As planed the china’s manned space station will be launched in 2020. The scientific research
platform can support versatile science and technology experiment in low gravity environment. As an
essential part of fundamental scientific research, time and frequency package will be devoted to
develop new technology for space application and provide service for space and ground users. The
main scientific objects include international comparison of atomic clocks, verification of relativity,
mapping of the absolute gravitation equipotential surface and so on.
The time and frequency package is composed of two main parts, the atomic clock assemble and the
time and frequency transfer link. The atomic clock assemble include a Hydrogen maser, a Cs atomic
beam clock and a Sr lattice clock. The Hydrogen maser and the Cs atomic beam clock will be launched
in the early phase to provide a good-for-use frequency standard to fulfill the parts requirement of some
application. Aiming at the highest precision people could achieve, the optical clock will be launched
mostly in the later launching opportunity. Presently a microwave frequency link and a laser time link
are included to provide the space-ground time and frequency link.
The time and frequency package is assumed to be able to produce a high-precision time and frequency
signal with a short-term stability better than 2×10-15/s, and accuracy better than 1×10-17. And the time
and frequency signal can be transferred between the space station and the ground stations with a
fidelity of 0.3ps@300s and 6ps@1day.
Presently more than ten research groups in the field of time and frequency in China are involved in this
huge research and engineering project. National time service center (NTSC) is the chairman research
unit and responsible for coordinating.
NTSC is a national research institute assuming the tasks of national standard time generating, keeping
and transmitting. Presently NTSC is devoted in the development of high-precision atomic clocks and
time and frequency transfer technique, including Cs fountain clocks, Sr lattice clocks, Two-Way
Satellite Time and Frequency Transfer, fiber time and frequency transfer and quantum time transfer.
30
Atom Interferometry for Inertial Sensing and Fundamental Physics at the IQO
J.Hartwig1, D.Schlippert1, H.Albers1, J.Matthias1, S.Abend1, G.Tackmann1, P.Berg1, C.Schubert1,
E.M.Rasel1, W.Ertmer1
1
Institute for Quantum Optics- Leibniz University of Hannover
[email protected]
Abstract. The use of devices based on atom interferometry as inertial sensors and tools of
fundamental physics is a fast progressing field of study. In the Institute for Quantum Optics in
Hannover we operate two dedicated lab based experiments in the most common configurations as an
atomic gyroscope and gravimeter respectively. Both experiments are in their own right of scientific
interest, but also lay the foundation for our efforts in pushing the technology into more critical
environments. Based on the operational experience and systematic analyses of this experiments
miniaturized and fully mobile sensors are in the progress of implementation to operate in the Drop
Tower of Bremen, Sounding Rocket Missions and as tools for geodesy.
Similar to the STE-QUEST equivalence principle measurement scheme the presented atomic
gravimeter can be operated simultaneously with two different atomic species. In this lab based
experiment we aim for a comparison of the gravitational acceleration of 39K and 87Rb in the near future.
In principle this choice of species can be adjusted to compare all of the potassium and rubidium
isotopes. The flexibility of the experimental setup allows for a systematic study of experimental and
physical constraints on core issues of such a differential measurement. Up to date the rubidium
gravimeter is fully operational and was used to analyze the expected performance of a comparison
measurement. During a 42h measurement campaign a vibrational noise limited sensitivity of about
3.9*10-8 m/s2 with 4.9*104 s integration time was demonstrated. Based on this result an analysis of the
expected noise sources in the differential measurement leads to an inferred sensitivity of 4.3*10-8
g/Hz1/2. We will report on the progress in implementing the second species.
The second experiment presented is an atomic gyroscope measuring earth rotation by simultaneous
measurement of two contrapropagating 87Rb clouds. The summed signal is proportional to the
rotationrate while accelerations, vibrations and offsets are suppressed. Similar to a gravity gradiometer
this is an example for a differential measurement of two atom interferometers with the same atomic
species differentiated by external degrees of freedom. In contrast to a gradiometric measurement in this
case both atomic clouds pass through the exactly same environment just separated by time. The
resulting techniques developed in the scope of this experiment to compensate for differential effects are
of great interest for future atom interferometric sensors employing co-located clouds. The lab based
experiment was able to demonstrate sensitivity to rotations at the level of 20 nrad/s after 5000 s of
Integration. We will report on the performance of the sensor and used mitigation techniques for
spurious rotational noise.
ACKNOWLEDGMENTS
The work of J.Hartwig is supported by the German Space Agency Deutsches Zentrum für Luft- und
Raumfahrt (DLR).
REFERENCES
M.Zaiser, J.Hartwig, D.Schlippert, U.Velte, N.Winter,V.Lebedev,W.Ertmer and E.M.Rasel “Simple method for
generating Bose-Einsetein condensates in a weak hybrid trap” Phys.Rev.A. 83 , 035601(2011).
T.Müller, M.Gilowski, M.Zaiser, P.Berg, Ch.Schubert, T.Wendrich, W.Ertmer and E.M.Rasel., “A compact dual
atom interferometer gyroscope based on laser cooled rubidium” Eur.Phys.J.D.53, 273-281(2009).
G.Tackmann, P..Berg, Ch.Schubert, S.Abend, M.Gilowski, W.Ertmer and E.M.Rasel., “Self-alignment of a
compact large-area atomic Sagnac Interferometer” New J.Phys. 14 , 015002(2012).
31
STE-QUEST Differential Atom Interferometer
E. M. Rasel, for the STE-QUEST consortium
QUEST, Institute of Quantum Optics - Leibniz University, Hanover, Germany
[email protected]
Abstract. STE-QUEST ATI aims for a test of General Relativity through testing the Universality of
Free Fall with a dual species atom interferometer on a satellite. This test is based on measuring the
differential acceleration of two test bodies assumed to be zero by Einstein's Equivalence Principle (EP).
The Eötvös ratio derived from the differential signal will be determined with an accuracy of parts in 1015
beyond state-of-the-art precision of 10-13 established by Lunar laser ranging and torsion balances.
Quantum degenerate ensembles of 87Rb and 85Rb will act as test bodies in the dual species
interferometer testing the EP in the Quantum domain.
Thanks to the weightlessness conditions in space these test masses will be simultaneously prepared and
interrogated with a free evolution time of 10 s. Within a single cycle of 20 s a shot-noise limited
sensitivity to accelerations of 3 10-12 m/s2 is anticipated. The simultaneous interferometry is carried out
in double diffraction Mach-Zehnder geometry. Challenges in this mission lie both in suppressing noise
and bias terms as well as in the accommodation to the limited resources of a satellite. In the talk the
measurement principle will presented, an overview of the preliminary payload design will be given,
and the estimated error budget will be discussed.
ACKNOWLEDGMENTS
The STE-QUEST consortium consists of leading European groups in the field of Atom Interferometery
and space sciences. This instrument team was founded to respond to the proposal for an M3 mission in
the frame of the Cosmic Vision program of ESA.
This assessment phase is supported by the German Space Agency Deutsches Zentrum für Luft- und
Raumfahrt (DLR).
32
Grating Chips for Quantum Technologies
C. C. Nshii1, M. Vangeleyn1, J. P. Cotter2, P. F. Griffin1, E. A. Hinds2, C. N. Ironside3, P. See4, A. G.
Sinclair4, E. Riis1 and A. S. Arnold1*
1
Department of Physics, SUPA, University of Strathclyde, Glasgow G4 0NG, UK
2 Centre for Cold Matter, Blackett Laboratory, Imperial College London, Prince Consort Rd,
London SW7 2BW, UK
3 Rankine Building, School of Engineering, University of Glasgow, Glasgow G12 8LT, UK
4 National Physical Laboratory, Hampton Road, Teddington, Middlesex, TW11 0LW, UK
*[email protected]
Abstract. We have developed and demonstrated [1] a microfabricated chip based on planar,
diffractive optics, that enables a single beam of light impinging on it to produce all the light beams
required to form a magneto-optic trap (MOT). This simplifies the integration of laser cooling into
compact and ultimately portable devices. In such a MOT, with a 1cm3 beam overlap volume, we have
trapped up to 6×107 87Rb atoms - comparable to the population of a conventional MOT with the same
trapping volume. By contrast, the largest microfabricated pyramid MOT [2] has a much smaller
trapping volume and hence four orders of magnitude fewer atoms.
The planar diffractive gratings are manufactured as
quarter-wavelength deep grooves (1D gratings) or
indentations (2D gratings) etched in a
semiconductor surface and coated with gold or
aluminium. Figure 1 shows an example with three
1D gratings arranged in a triangle to produce a
tetrahedral configuration of beams, i.e. to form a 4beam MOT [3]. The grating period is chosen to
produce only first-order diffracted beams. With a
circularly polarised input beam the purity of the
polarisation in the diffracted orders is surprisingly
high (>96%) and with the correct orientation, which
enables the formation of the MOT with no
additional optics.
The grating shown in Figure 1 has a slightly smaller
overlap volume than some of your 2D geometries
and consequently traps a maximum of 1.8×107
87
Rb atoms. However, by adjusting the reflectivity
of the coating applied to this grating it is possible
to match the upward force from the diffracted
beams to that of the incoming beam. This has
allowed the realisation of balanced optical
molasses and the observation of sub-Doppler
temperatures (50 μK).
FIGURE 1. Fig. 1. Scanning electron microscope
image of a triangular grating consisting of three
1D gratings, each with a period of 1400 nm
(diffraction angle 34° relative to normal at 780
nm). This produces a tetrahedral set of MOT
beams from a single input beam.
As all reflected beams are generated by the same diffractive optical element there is a fixed phase
relationship between them at any given point and hence together with the input beam they will form a
phase-stable optical lattice.
The performance and simplicity of this setup combined with good optical access for probing and
observation makes this a promising technology for portable measurement devices such as atomic
clocks and magnetometers.
33
REFERENCES
1 C.C. Nshii, M. Vangeleyn, J.P. Cotter, P.F. Griffin, E.A. Hinds, C.N. Ironside, P. See, A.G. Sinclair, E. Riis and
- See for
A.S. Arnold, Nature Nanotechnology (2013) http://dx.doi.org/10.1038/NNANO.2013.47
Acknowledgments
2 S. Pollock, J.P. Cotter, A. Laliotis, & E.A. Hinds, Opt. Express 17, 14109 (2009); S. Pollock, J.P. Cotter, A.
Laliotis, F. Ramirez-Martinez, & E. A. Hinds, New J. Phys. 13, 043029 (2011).
3 M. Vangeleyn, P.F. Griffin, E. Riis & A.S. Arnold, Opt. Express 17, 13601 (2009); M. Vangeleyn, P.F. Griffin,
E. Riis & A.S. Arnold, Opt. Lett. 35, 3453 (2010).
34
Compact Semiconductor Laser Modules Designed for Precision Quantum
Optical Experiments in Space
Ahmad Bawamia1*, Max Schiemangk1,2, Anja Kohfeldt1, Erdenetsetseg Luvsandamdin1, Christian
Kuerbis1, Alexander Sahm1, Andreas Wicht1, Goetz Erbert1, Achim Peters1,2, and Guenther Tränkle1
1. Ferdinand-Braun Institut, Leibniz Institut fuer Hoechstfrequenztechnik, Berlin, Germany
2. Humboldt-Universitaet zu Berlin, Germany
* [email protected]
Abstract. We review the major technological considerations related to the development of high power,
narrow-linewidth, hybrid diode laser systems for quantum optics experiments in space.
We concentrate on GaAs-based laser chips engineered for emission at 780 nm, which meet the electrooptical requirements set forth by the STE-QUEST mission proposal. We discuss different chip
concepts that are available, i.e. distributed feedback lasers, ridge waveguide amplifiers, tapered
amplifiers, and phase modulator chips and we assess the TRL of the GaAs laser chip technology.
We discuss different laser module concepts (master oscillator power amplifier module concept, low
power local oscillator module, high power dual stage amplifier module) and compare them w.r.t.
electro-optical performance, power and mass budget, and form factor.
We use a micro-integration approach to integrate the laser chips together with beam forming optics and
the electrical interface into a compact and robust laser module. The micro-integration technology is
described and its space adequacy and TRL are assessed.
The laser concepts as well as the chip and micro-integration technology suggested for STE-QUEST are
currently being used in BEC experiments carried out at the ZARM drop tower and will be tested in
space during sounding rocket missions that are scheduled for 2013 and 2014 within the framework of
projects funded by the German Space Agency DLR.
ACKNOWLEDGMENTS
This work is supported by the German Space Agency DLR with funds provided by the Federal
Ministry of Economics and Technology (BMWi) under grant numbers 50WM0940, 50WM1134 and
50WM1141.
35
STE-QUEST Mission: Atom Interferometer Performance Assessment And Error
Estimations
C. Schubert1 for the STE-QUEST ATI team
1
Institute for Quantum Optics- Leibniz University of Hanover
[email protected]
Abstract. The STE-QUEST ATI aims for performing a quantum test of Einstein’s Equivalence
principle by probing the universality of the free propagation of matter waves on a satellite. A dual
species atom interferometer will measure the differential acceleration of Bose-Einstein condensates of
87
Rb and 85Rb assumed to be zero if the inertial mass coincides with the gravitational mass. The Eötvös
ratio for two species A and B can be rewritten for a space borne environment as η(A,B)=|aA-aB|/g with
aA and aB being the acceleration of the respective species and g the local gravitational acceleration.
This ratio derived from the differential signal Δa=a87-a85 shall be determined with an accuracy of parts
in 1015 beyond state-of-the-art precision of 10−13 established by lunar laser ranging and torsion
balances. The choice of 87Rb and 85Rb as test bodies will allow for a high common-mode suppression
ratio and the low velocity spread inherent to the BECs will preserve the interferometer contrast.
A single measurement cycle consists of a simultaneous generation of the two BECs of 106 atoms
lasting 10 s and followed by the propagation in the interferometer. During the latter phase, both
isotopes will be simultaneously interrogated by a double diffraction pulse sequence π/2 – π – π/2 with a
free evolution time of T = 5 s between two consecutive pulses. Subsequently, both atom interferometer
signals will be read-out leading to a total cycle time of 20 s. These long evolution times for atoms in
free fall are solely possible in a space-borne environment and go beyond earth-based zero g simulators.
Anticipating the shot-noise limit, the sensitivity to differential accelerations per cycle will be 3·10−12
m/s2. During the 5-year mission duration the target sensitivity will be reached by integration. The STEQUEST ATI will operate in science mode during the perigee pass of the highly elliptical orbit, where
the local gravitational acceleration is above 3 m/s2, yielding a sensitivity to the Eötvös ratio of ~5·10−14
per orbit.
The atom source is required to produce a mixture of 87Rb and 85Rb BECs of 106 atoms each and an
effective temperature of 70 pK in less than 10 s. The condensation is reached in a 40 Hz optical dipole
trap while the interactions are tuned with an external magnetic field (168 G) around the Feshbach
resonance of 85Rb. This leads to 106 atoms of each isotope with an effective temperature of 1 nK. After
a short expansion time, a delta-kick cooling pulse is further applied lowering the effective temperature
to the anticipated 70 pK. This temperature is motivated by the velocity selectivity of the beam splitting
process and velocity dependent phase shifts which could cause a dephasing over the atomic ensemble
and consequently a reduction of the interferometer contrast. The kick parameters also allow tuning of
the differential expansion rates between the two isotopes. It is targeted to lock the expansion rates at a
level of 0.1% which relaxes significantly the requirements on the differential wave-front curvature of
the beam splitter lasers.
Using 87Rb and 85Rb as test bodies enables matching the scaling factors and the pulse timings of both
atom interferometers. With an effective wave-vector matching of 10-9, a Rabi frequency match of 10-4,
and switching the beam splitter light field for both isotopes at exactly the same time, the expected
common-mode suppression ratio for spurious accelerations of the spacecraft, certain bias terms related
to gravity gradients, and spurious rotations is 2.5·10−9. Remaining bias terms linked to gravity
gradients and spurious rotations depend on the spatial overlap and the differential velocity of the two
isotopes. Constraints on the distance are on the nm level, while the velocity requirements are on a level
of 0.3 nm/s. A bias to the second order Zeeman shift will be mitigated for by alternating the
interferometer input states for subsequent cycles. Contributions of remaining mean field energy are
expected to be far below the target accuracy. Additional gravity gradients arising from the payload are
under investigation.
36
In the poster the measurement principle will be presented, an overview of the simultaneous generation
of the two BECs will be given, and the estimated error budget will be discussed.
ACKNOWLEDGMENTS
This assessment phase is supported by the German Space Agency – Deutsches Zentrum für Luft- und
Raumfahrt (DLR).
REFERENCES
ESA STE-QUEST mission homepage: http://sci.esa.int/ste-quest
Wagner, T.A., and Schlamminger, S., and Gundlach, J.H., and Adelberger, E.G., “Torsion-balance tests of the
weak equivalence principle,” Class. Quantum Grav. 29, 184002 (2012)
Müller, J., and Hofmann, F., and Biskupek, L., “Testing various facets of the equivalence principle using lunar
laser ranging,” Class. Quantum Grav. 29, 184006 (2012)
Williams, J.G., and Turyshev, S.G., and Boggs, D.H., “Lunar laser ranging tests of the equivalence principle,”
Class. Quantum Grav. 29, 184004 (2012)
Lévèque, T., and Gauguet, A., and Michaud, F., and Pereira Dos Santos, F., and Landragin, A., “Enhancing the
Area of a Raman Atom Interferometer Using a Versatile Double-Diffraction Technique,” Phys. Rev. Lett. 103,
080405 (2009)
van Zoest, T., et al., “Bose-Einstein Condensation in Microgravity,” Science 328, 1540 (2010)
Müntinga, H., et al., “Interferometry with Bose-Einstein Condensates in Microgravity,” Phys. Rev. Lett. 110,
093602 (2013)
37
The Yb Lattice Clock (and others!) at NIST for Space-Based Applications
C. Oates, J. Sherman, N. Hinkley, N. Phillips, M. Schioppo, R. Fox, K. Beloy, J. Olson, and A. Ludlow
Time and Frequency Division
National Institute of Standards and Technology
325 Broadway
Boulder, Colorado, USA 80303
[email protected]
Abstract. As part of our continuing efforts to realize the SI second to its fullest extent, the Time and
Frequency Division at the National Institute of Standards and Technology in Boulder, Colorado has a
variety of ongoing research activities to support development of timing technology for the present and
future. Of particular relevance to proposed space-based projects are the NIST microwave time scale
(ultimately anchored by two Cs fountain clocks) and the optical atomic clock program, which consists
of research in both ion and neutral atom clocks. These optical clocks are part of a world-wide effort to
develop revolutionary new timing systems with unprecedented stability and accuracy. I will survey the
efforts on this research with emphasis on new results with the Yb optical lattice clock, which has
recently demonstrated extremely low levels of frequency instability.
The microwave and optical clocks will be connected to space experiments (e.g., to the International
Space Station) through a microwave link (and perhaps one day also through an optical link) to a
Ground Station presently under construction. This link is in support of the ACES Project as part of a
NASA/ESA collaboration. A platform that is compatible with existing ESA microwave link hardware
is well under way here at NIST, and we anticipate installation of the ESA hardware in 2014. The
various optical clocks at NIST (including the state-of-the-art Sr lattice clock in Jun Ye’s Group at
JILA) are connected to each other and to the microwave clocks here by means of fs-laser frequency
combs, which have demonstrated 10-19 fractional frequency transfer fidelity. Such connections would
also presumably serve well to make the necessary connections to space clocks via our space link
hardware.
NIST has two Cs fountain primary standards, F1 and F2, which are used to calibrate a microwave clock
ensemble that together comprise the NIST Time Scale. The room temperature standard, F1, has an
evaluated absolute fractional frequency uncertainty of 3 x 10-16, while the newer, cryogenic standard,
F2, will officially come online soon with a still smaller uncertainty (due to a greatly reduced BBR
shift). As for the optical clocks, NIST has two trapped ion clock systems, based on Hg+ and Al+ (two
versions), which have demonstrated uncertainties of 1.8 x 10-17 and 8.9 x 10-18, respectively, the most
accurate to date, and have been used to put stringent limits on present day drifts in fundamental
constants and to demonstrate possibilities for relativistic geodesy. Additionally, NIST has neutral atom
lattice clocks, based on Sr and Yb, which have demonstrated fractional frequency instabilities of ~ 3
x10-16 τ-1/2. These systems have been evaluated at the 10-16 uncertainty level, with good prospects to
reach the low 10-17’s in the near future.Furthermore, due to the large number of atoms they employ,
these systems have been able to demonstrate unprecedented levels of frequency stability. Finally, there
is a compact Ca system based on a thermal atomic beam, which has good prospects for high stability
(~10-15 @ 1 s) with a single laser system. Although it has limited capabilities for high accuracy, it
could be well suited for experiments requiring high stability, and could be much more easily put in a
transportable package than its more accurate counterparts.
In addition to the Ca clock, in our neutral atom clock lab we have been focusing on the Yb lattice
clock, which, along with the Sr lattice clock, is one of the two systems identified by the ESA Space
Optical Clock (SOC) Program as prime candidates for future clocks-in-space programs. As part of a
NASA Program in support of the SOC Program, we are pushing the Yb system to maturity for space
science applications in three ways: (1) we are improving the accuracy of the Yb clock to meet the 10-17
accuracy specification required for the SOC, (2) we are putting together the minimum power/laser
requirements for a Yb lattice clock, and (3) we are demonstrating a compact, robust, fiber-based fslaser frequency comb to connect the Yb clock laser light to other parts of the visible spectrum for
possible free-space transmission. A key part of this effort has been to bring online a second Yb lattice
38
total Allan deviation
clock system (Yb2), so we can make clock-clock comparisons to help optimize and verify clock
performance. The two clocks each use several thousand Yb atoms that are confined in a 1-D fardetuned optical standing wave. We excite an extremely narrow transition at 578 nm in these atoms
with highly pre-stabilized laser light, and use the resulting signals to fix the laser frequency on that of
the atomic transition. Recently “Yb2” has become operational, and here we will report some of the
first results from our Yb1-Yb2 clock comparisons. In Figure 1, we show the measured stability for the
clocks. This plot highlights the advantages of optical clocks in general, which can be 1-2 orders of
magnitude more stable than the best microwave clocks, and of lattice clocks in particular, which are
able to reach precisions of 1 part in 1017 in less than 2000 seconds of averaging time. This level of
stability has enormous implications not only for efficient evaluation of various systematics, but also for
providing high precision timing signals for applications ranging from global positioning to tests of
fundamental physics.
10-16
10-17
1
10
100
1000
averaging time (s)
FIGURE 1. Allan Deviation for a single Yb optical lattice clock (red circles). The stability averages down with a
slope of 4.5 x 10-16τ-1/2. Note that these data reflect a factor of √2 that has been divided from the Allan Deviation
of the difference frequency signal between Yb1 and Yb2.
ACKNOWLEDGMENTS
The authors gratefully acknowledge support from NIST, the National Aeronautics and Space Agency’s
ESA/NASA ACES Program, and the DARPA QuASAR Program. We also acknowledge tremendous
assistance with the Yb work from Nathan Lemke and Yanyi Jiang, and with the fs-comb work led by
Scott Diddams and co-workers. We thank our colleagues throughout the Division and at NIST (too
numerous to list here) whose work on microwave and optical clocks will be included in the
presentation.
REFERENCES
Fox, R. W., Sherman, J. A., Douglas, W., Olson, J. B., Ludlow, A. D., and Oates, C. W., “A High Stability Optical
Frequency Reference Based On Thermal Calcium Atoms,” Proceedings of 2012 IEEE International Frequency
Control Symposium, Baltimore, MD, May 21-24, 2012, pp. 404-406.
Heavner, T. P., Parker, T. E., Shirley, J. H., Kunz, P., and Jefferts, S. R., “NIST F1 and F2,” Proceedings of 42nd
Annual Precise Time and Time Interval (PTTI) Meeting, Reston, VA, Nov. 15-18, 2010, pp. 457-462.
Lemke, N., Ludlow, A. D., Barber, Z., Fortier, T., Diddams, S. A., Jiang, Y., Jefferts, S. R., Heavner, T. P.,
Parker,T. E., and Oates, C. W., “A Spin-1/2 Optical Lattice Clock,” Phys. Rev. Letters 103, 063001 (2009).
39
Ma, L.-S., Bi, Z., Bartels, A., Robertsson, L., Zucco, M., Windeler, R. S., Wilpers, G., Oates, C. W., Hollberg, L.,
and Diddams, S. A., “Optical Frequency Synthesis and Comparison at the 10-19 Level,” Science 303, 1843 (2004).
Nicholson, T. L., Martin, M. J., Williams, J. R., Bishof, M., Swallows, M. D., Campbell, S. L. and Ye, J.,
“Comparison of Two Independent Sr Optical Clocks with 1×10-17 Stability at 103 s,” Phys. Rev. Letters 109,
230801 (2012)
Rosenband, T., Hume, D. B., Schmidt, P. O., Chou, C. W., Brusch, A. Lorini, L., Oskay, W. H., Drullinger, R. E.,
Fortier, T. M, Stalnaker, J. E., Diddams, S. D., Swann, W. C., Newbury, N. R., Itano, W. M., Wineland, D. J., and
Bergquist, J. C., “Frequency Ratio of Al+ and Hg+ Single-Ion Optical Clocks; Metrology at the 17th Decimal
Place,” Science 319, 1808-1812 (2008).
40
Tests of Irradiation Robustness of a Fabry–Pérot Resonator Comprising Highfinesse Fused Silica Mirrors and a ULE Spacer
Q.-F. Chen1, A. Nevsky1, S. Schiller1,
E. Portuondo Campa2, S. Lecomte2,
O. Karger3, B. Hidding3, G. Pretzler3,
D. Parker4,
5
Th. Legero , S. Häfner5, U. Sterr5
1
Institut für Experimentalphysik, Heinrich-Heine-Universität Düsseldorf, 40225 Düsseldorf, Germany
2
Centre Suisse d'Electronique et Microtechnique SA, 2002 Neuchâtel, Switzerland
3
Institut für Laser- und Plasmaphysik, Heinrich-Heine-Universität Düsseldorf, 40225 Düsseldorf,
Germany
4
School of Physics and Astronomy, University of Birmingham, B15 2TT Birmingham, United Kingdom
5
Physikalisch-Technische Bundesanstalt (PTB), Bundesallee 100, 38116 Braunschweig, Germany
E-Mail: [email protected]
Abstract. In the STE-QUEST mission, an atomic clock will orbit in space on a highly elliptic orbit for
a duration of up to 5 years. The ultra-stable microwave local oscillator for probing the atomic hyperfine
transition of cold Cs atoms will be derived from an ultrastable laser via a femtosecond frequency comb.
The ultra-stable laser will be obtained by locking a Nd:YAG laser optical frequency to a high-finesse
optical cavity.
The space particle radiation incident the spacecraft may influence and downgrade the cavity properties
(e.g. its linewidth, in-coupling efficiency, and long-term length drift). Until now, there has been no
reported research on the influence of radiation on the linewidth and the throughput of a high-finesse
Fabry-Perot cavity, to the best of our knowledge. Previously, a low-finesse cavity has been spacequalified by the company TESAT and is used in their Nd:YAG space laser product [1].
In this work we studied the influence of electron and proton radiation on the linewidth and throughput
of high-finesse cavities. We find no measurable degradation of the finesse of high-finesse (> 100 000)
mirrors at the proton radiation levels of the STE-QUEST 5-year duration orbit behind 10 mm
aluminum shielding. Moreover, the incoupling efficiency remains at a good level.
Preliminary electron irradiation was also performed, using MeV electron generated in a laser plasma.
Preliminary results are consistent with absence of strong degradation.
To obtain the influence of ionizing radiation on the complete cavity, a small cavity made from ultralow expansion glass of length 20 mm and diameter 14 mm with optically contacted mirrors was
constructed. A system was set up to determine the length, the frequency stability and the coefficient of
thermal expansion of the cavity by observing its resonance frequency in comparison to an optical
frequency standard. These measurements will be then be repeated after irradiation.
ACKNOWLEDGMENTS
The research leading to these results has received funding from the Bundesministerium für Wirtschaft
und Technologie (Germany) under project no. 50OY1201.
REFERENCES
[1] Heine, F., Lange R., Schieber K., Windisch S., Smutny B., “Coherent Seed Laser for the AEOLUS Mission”,
14th Coherent Laser Radar Conference, Snowmass, CO, USA, 2007.
41
Development of a Robust Demonstrator for an Ultra-stable Optical Cavity for
the STE-QUEST Mission
Q.-F. Chen1, M. Cardace1, I. Ernsting1 A. Nevsky1, S. Schiller1,
Th. Legero2, S. Häfner2, U. Sterr2
1
Institut für Experimentalphysik, Heinrich-Heine-Universität Düsseldorf, 40225 Düsseldorf, Germany
2
Physikalisch-Technische Bundesanstalt (PTB), Bundesallee 100, 38116 Braunschweig, Germany
E-Mail: [email protected]
Abstract. For the STE-QUEST mission [1] an ultra-stable and ultra-low-noise microwave radiation is
required to interrogate the Cs hyperfine transition at 9.2 GHz of the onboard Cs atomic clock. The
relative frequency instability of the microwave is specified at lower than 3.5 x 10-15 for integration
times between 1 and 100 s, after linear drift removal. The phase noise of the microwave radiation has
to satisfy the following upper limits:
PSD (dBrad2/Hz)
-90
-110
-115
-120
-120
Frequency (Hz)
1
10
100
1000
10000
Table 1. Phase noise requirements for the microwave radiation
The microwave radiation will be generated by stabilizing the frequency of a monolithic Nd:YAG laser
at 1064 nm to an ultra-stable high-finesse cavity and then converting the laser frequency to the required
microwave frequency by using a femtosecond frequency comb.
This poster describes the development of a robust demonstrator of an ultrastable cavity for the STEQUEST mission within the ongoing MOLO project funded by DLR. The 10 cm long ULE cavity with
fused silica mirrors and ULE compensation rings [2] possesses a finesse of 500 000 (Fig. 1 left) and is
supported at 10 "magic" points in a semi-rigid frame in order to achieve a low vibration sensitivity and
tolerate a rocket launch. The cavity and the frame are placed inside a compact aluminum vacuum
chamber with the size of approx. 14 x 14 x 25 cm3 (Fig. 1 right). A compact and robust optical setup
for laser frequency stabilization including home-made miniature motorized kinematic mirror mounts
for beam alignment optimization into the cavity, and an acousto-optic modulator for laser power
stabilization is assembled on a miniature breadboard and attached to the vacuum chamber. The laser
radiation is led to the breadboard using a single-mode optical fiber.
Fig. 1. Left – the MOLO cavity. Right – the vacuum chamber for the MOLO cavity with the attached compact
optical setup for laser frequency stabilization
42
A Nd:YAG laser is stabilized to the cavity using the Pound-Drever-Hall technique. Two additional
similar cavities, with increased length of 30 cm, will be used to characterize the frequency stability of
the MOLO cavity by means of the "three-cornered-hat" method [3]. All cavities will be placed on
active vibration isolation supports. A vibration test of the MOLO cavity setup is planned to be
performed at ZARM, Bremen. The robustness of the MOLO system will also be tested in the
temperature range of – 20 to +50°C.
ACKNOWLEDGMENTS
We thank D. Iwaschko and P. Dutkiewicz for electronics development and A. Uhde for providing the
mechanical parts. The research leading to these results has received funding from the
Bundesministerium für Wirtschaft und Technologie (Germany) under project no. 50OY1201.
REFERENCES
1. STE-QUEST Mission http://sci.esa.int/ste-quest
2. T. Legero, T., Kessler, T. and Sterr, U., "Tuning the thermal expansion properties of optical
reference cavities with fused silica mirrors," J. Opt. Soc. Am. B 27, 914 (2010).
3. A. Premoli and P. Tavella, "A revisited three-cornered hat method for estimating frequency standard
instability", IEEE Trans. Instrum. Meas. 42, 7 (1993).
43
STE-QUEST Atom Interferometer (ATI) Payload Overview
T. Schuldt1,2 for the STE-QUEST ATI team
1
DLR-Institute of Space Systems, 28359 Bremen, Germany
2
ZARM, University Bremen, 28359 Bremen, Germany
[email protected]
Abstract. The STE-QUEST Weak Equivalence Principle test is based on a differential measurement
between two atom interferometers, operating with Rb85 and Rb87, respectively, where the
accelerations of the two atom clouds under the influence of the Earth’s gravity field are compared
simultaneously. As both atom interferometers are operated at the same time, also using the same optical
components, a high common-mode rejection is achieved. The instrument design is based on the
expertise of the consortium, which includes the DLR-funded cold atom experiments QUANTUS
(QUANTengase Unter Schwerelosigkeit) and MAIUS (Materiewelleninterferometrie Unter
Schwerelosigkeit), both operated in drop-tower experiments, and the CNES-funded experiment I.C.E.
(Interférométrie Cohérente pour l'Espace) operated in zero-g parabola flights. For STE-QUEST, BoseEinstein- Condensates (BECs) are prepared on an atom chip, which is beneficial with respect to power,
mass and dimensions.
The atom interferometer is subdivided into three units Physics Package (PP), Laser System (LS) and
Electronics. The physics package is subdivided into the atomic source, the science chamber (including
detection unit), the vacuum pump system and the magnetic shielding. The coherent matter wave source
consists of the dispensers (heated reservoir) and a 2D-MOT. The science chamber features a dodecagon
design housing the three-layer atom chip. A 3D-MOT and an optical dipole trap (ODT) are
implemented. The 3D-MOT uses two counter-propagating laser beams parallel to the atom chip and an
additional laser beam reflected by the chip surface with an angle of 45°. The ODT uses two laser beams
with an angle of 22.5° between them. The homogeneous magnetic fields for the experiment are created
using three pairs of coils in Helmholtz configuration. The STE-QUEST atom interferometer will utilize
a Raman double diffraction scheme with three laser pulses in π/2 – π – π/2 configuration. All laser
beams – also for Rb85 and RB87 – are applied through the same optical fibers. The three laser pulses
are separated by the free evolution time of 5 s. The first π/2 laser coherently splits the atomic ensemble,
the second π-pulse redirects the movements of the atomic ensembles and the last π/2 pulse recombines
the two ensembles.
For detection, the atom interferometer will use the fluorescence signal from the atoms which are
illuminated by a pair of counter-propagating laser beams of equal intensity. The fluorescence signal is
imaged on a CCD. Absorption detection is additionally foreseen for sanity check and characterization.
The vacuum pump system needs to establish a vacuum at the 10-11 mbar level. A combination of a
passive getter pump and an ion getter pump is foreseen.
As external magnetic stray fields need to be suppressed by a factor >10.000, a three layer mu-metal
shielding is foreseen around the physics package. The magnetic shielding for STE-QUEST is based on
the experience in the QUANTUS and MAIUS projects and needs to be capable to withstand internal
fields up to 160 G without permanent damage. The magnetic field is monitored using specific
magnetometers.
The laser system consists of several subsystems with well-defined interfaces. The reference and the
optical dipole trap laser are based on telecommunication components, i.e. fiber technology. The
reference laser will operate at a wavelength of 1560 nm using a commercial ECDL (External Cavity
Diode Laser) in combination with an EDFA (Erbium Doped Fiber Amplifier). Part of the 5 W output is
frequency doubled using a PPLN (Periodically Poles Lithium Niobate) crystal, delivering the laser
beams for the spectroscopy module. The main part of the EDFA output is used as input for the optical
dipole trap, using AOMs for intensity control.
44
The spectroscopy module includes the optical setup for Doppler-free spectroscopy of either Rb87 or
Rb85. The corresponding reference laser is frequency stabilized to a hyperfine transition. The optical
setup will be based on the experience in the MAIUS project.
A diode laser based laser system provides the laser beams for beam manipulation, cooling, trapping and
detection. In the current baseline microintegrated ECDL laser modules, provided by the FerdinandBraun-Institut für Höchst- frequenztechnik, Berlin, are foreseen, in combination with dedicated MOPA
(Master Oscillator Power Amplifier) modules. The output powers at the atoms are ~ 0.5 W. The
switching and frequency shifting of the laser beams, together with power monitoring and laser pulse
generation for the experimental sequence is carried out on the switching module. The current baseline
is an adoption of the MAIUS design using a Zerodur baseplate and AOMs for fast switching in
combination with mechanical shutters.
The distribution module carries out the overlapping and the redistribution of the cooling and repumping
light from the switching module using a fiber integrated splitter.
The laser beams with different frequencies are overlapped in the Offset Lock module using a fiber
splitting unit and focused onto a photodiode for phase-lock.
The electronics consists of the following five functional units: (i) Digital Management Unit (DMU)
controlling all other electronics units and the overall payload, (ii) Magnetics Drive providing the low
noise current drivers for magnetic field generation, (iii) Low-noise RF Generation providing the signals
at 6.8 GHz and 3 GHz corresponding to the hyperfine transition in Rb87 and Rb85, respectively, as
well as a stable 100 MHz reference signal, (iv) Laser Control providing the low noise current supplies
for the lasers, (v) Ion Getter Pump Supply providing the high voltage for the ion getter pump.
For the atom interferometer a total mass budget of 265 kg, an average power of 680 W, a peak power
of 900 W and a telemetry budget of 110 kbps is allocated (numbers with 20% component contingency
and 20% system margin).
45
Laser System for Dual Species Interferometry with 87Rb and 85Rb on STEQUEST
M. Krutzik1 for the STE-QUEST team
1
Humboldt-Universität zu Berlin
[email protected]
Abstract. In this poster we present the overall design, technological details and redundancy
architecture of the laser system for the STE-QUEST dual species atom interferometer [1]. It combines
a fiber technology based reference and optical dipole trap laser with microintegrated, high power diode
laser modules. Laser beam manipulation and switching are realized in Zerodur optical bench
technology while fiber optical splitter systems provide the capability for precise distribution of the laser
light.
The reference laser is based on telecommunication components and frequency doubling technologies.
Using frequency modulation spectroscopy (FMS), an error signal is generated and used for feedback on
the laser diode for stabilization. The modulation is realized with an all-fibered phase modulator being
integrated between the erbium doped fiber amplifier (EDFA) stage and the periodically poled lithium
niobate (PPLN) waveguide so that the reference laser must not be current-modulated itself. The same
EDFA is used for generating the dipole trap light, see figure 1.
The laser sources for cooling, coherent manipulation and detection of 85Rb and 87Rb are
microintegrated ECDL-MOPAs (µECDL-MOPAs), since they will combine a micro-integrated,
extended cavity diode laser (µECDL) as a master oscillator and a power amplifier (PA) on two
microoptical benches (MioB) interconnected with a single-mode optical fiber. They will provide small
linewidths and high output power levels at the same time. The µECDL-MOPAs are shifted to their
required frequencies as specified by means of offset lock stabilization
For switching, combining and distribution the light from the µECDL-MOPAs is guided to one
consolidated switching module based on Zerodur optical bench technology. It will control the laser
intensity and frequency for the 87Rb- and 85Rb-MOT, for Raman-interferometry, for detection and
manipulation of the atoms. The switching and intensity control are realized with a combination of
Acousto-optical modulators (AOMs) and mechanical shutters. Finally, fiber optical splitter systems
precisely distribute the different laser beams as required by the physics package.
Figure 1: Schematic of the laser system (LS) for the STE QUEST dual species atom interferometer
(ATI). It is divided into three subsystems: The reference laser and optical dipole trap module (ATI-LSROS), the diode laser package module (ATI-LS-DLP) and the switching and distribution module (ATILS-SAD). All interfaces shown here are pm single mode optical fibers.
46
REFERENCES
[1] ESA STE-QUEST mission homepage: http://sci.esa.int/ste-quest
47
An Optical Link for the ACES and STE-QUEST Missions in Western Australia
S. Schediwy1, A. Luiten1,2, J. Anstie1,2, A. Griffin3, J. McFerran1, M. Tobar1.
1
2
School of Physics, University of Western Australia, Crawley WA 6009, Australia
Institute for Photonics and Advanced Sensing (IPAS) and School of Chemistry & Physics,
The University of Adelaide, Adelaide SA 5005, Australia
3
Australia’s Academic and Research Network (AARNet), Kensington WA 6151, Australia
[email protected]
Abstract. Western Australia is becoming the premier southern hemisphere hub for high-precision
ground-space timing missions. The University of Western Australia (UWA) is currently building a
state-of-the-art optical atomic clock, and has been selected as the only southern hemisphere
microwave-frequency ground station for the Atomic Clock Ensemble in Space (ACES) mission. A
dedicated two-way satellite time and frequency transfer link exists between UWA and Australian legal
time maintained by the National Measurement Institute.
We plan to support the ACES European Laser Timing Experiment
(ELT), the Space-Time Explorer and the Quantum Equivalence
Principle Space Test (STE-QUEST) mission, by tying the atomic clocks
and microwave links at UWA to a satellite laser ranging (SLR) station
for ground-to-space time transfer. The Mobile Laser Ranging System
(MOBLAS-5), is the most productive SLR station in the International
Laser Ranging Service; it is located 330 km north of UWA and close to
the perigee of the STE-QUEST satellite. MOBLAS-5 is co-located with
the Western Australian Space Centre (WASC) which comprises other
geodetic facilities as well as commercial satellite relay operators.
Through Australia’s Academic and Research Network (AARNet), we
have light-level access to an 820 km fibre link between the Square
Kilometre Array (SKA) site and its associated supercomputing facility
near UWA. Figure 1 shows that this fibre passes within only 60 km of
WASC. We propose to connect WASC to this SKA fibre, and establish
an ultra-precise timing link between UWA and WASC. The fibre will
also support very-long baseline interferometry radio astronomy and
geodesy earth science, as well as provide a high-speed data connection
for the commercial and research organisations based at WASC.
We plan to utilise a novel microwave-frequency dissemination technique
(Schediwy, 2012) developed by Australian researchers as part of the
National Time and Frequency Network (NTFN) research programme.
This technique utilises the precision of optical-frequencies to sense
optical path-length fluctuations of the fibre link, and applies the
appropriate correction to stabilise a transmitted microwave-frequency
signal. We have demonstrated the validity of this technique in laboratory
experiments and are now deploying it across longer lengths of installed
fibre networks.
FIGURE 1. Map of Western Australia,
showing the existing 820 km optical
fibre between UWA and the SKA site
(blue), as well as the proposed 60 km
extension to the MOBLAS-5 satellite
laser ranging facility at WASC (red).
This optical fibre timing link between WASC and UWA will ensure Western Australia will become the
southern hemisphere hub of all future high-precision clocks in space missions.
ACKNOWLEDGMENTS
This research was supported under Australian Research Council's Linkage Projects (LP110100270) and
Future Fellowship (FT0991631) funding schemes.
48
REFERENCES
Schediwy, S.W., Luiten, A., Aben, G., Baldwin, K., He, Y., Orr, B., and Warrington, R.B., "Microwave Frequency
Transfer with Optical Stabilisation" Proceedings of the 2012 European Frequency and Time Forum, 211-213
(2012).
49
Microwave Generation from Optical Frequency Combs
U. Sterr1, B. Lipphardt1, T. Legero1, H. Schnatz1,
I. Ernsting2, Q.-F. Chen2, A. Nevsky2, S. Schiller2,
1
2
Physikalisch-Technische Bundesanstalt (PTB), Bundesallee 100, 38116 Braunschweig, Germany
Institut für Experimentalphysik, Heinrich-Heine-Universität Düsseldorf, 40225 Düsseldorf, Germany
[email protected]
Abstract. The STE-QUEST clock physics package will be based on the PHARAO cesium clock [1],
currently being developed in the frame of the ACES mission. To reach a quantum projection limited
frequency stability of 8 ⋅ 10 −14 τ and to allow for onboard evaluation of the clock, a low phase noise
microwave signal with high stability will be needed, at a performance level exceeding the currently
available room temperature microwave oscillators.
To fulfil the requirements, the microwave signal will be generated from an ultrastable optical frequency
using a femtosecond laser as frequency divider. The optical signal is generated from a 1064 nm
Nd:YAG laser, which is frequency-stabilized to a ultrastable, rugged vibration insensitive optical
resonator. Its instability is required to be below 3.5⋅10-15 between 1 s and 100 s of integration time
after linear drift removal while variations of the drift need to be smaller than shall be smaller than 2⋅1016
/s in a time interval of 1000 s.
This optical signal needs to be transferred to the microwave domain without introducing excess phase
noise. To this goal, a femtosecond frequency comb based on erbium-doped fibers will be employed. To
obtain the required phase noise of the 9.2 GHz signal of 90 dBrad/Hz at 1 Hz, dropping to 120
dBrad/Hz at 1 kHz carrier offset, we currently investigate two approaches.
In the first approach, the repetition rate of the femtosecond fiber laser is locked with a wide bandwith
intracavity electrooptical modulator to the optical carrier [2]. Here all fluctuations of the comb have to
be removed by the servo system. In the second approach, the laser is only loosely locked laser to the
optical carrier, with the laser acting as transfer oscillator [3], the remaining fluctuations are measured
and mixed to a suitable harmonic of the repetition rate to create a microwave signal independent of the
fluctuations.
Advantages and disadvantages of the two approached will be presented and the setup for an evaluation
of two systems will be described.
ACKNOWLEDGMENTS
The research leading to these results has received funding from the Bundesministerium für Wirtschaft
und Technologie (Germany) under project no. 50OY1201.
REFERENCES
[1] P. Laurent, M. Abgrall, C. Jentsch, P. Lemonde, G. Santarelli, A. Clairon, I. Maksimovic, S. Bize, C.
Salomon, D. Blonde, J. Vega, O. Grosjean, F. Picard, M. Saccoccio, M. Chaubet, N. Ladiette, L. Guillet, I.
Zenone, C. Delaroche, and C. Sirmain, “Design of the cold atom PHARAO space clock and initial test
results” , Appl. Phys. B 84, 683-690 (2006)
[2] W. C. Swann, E. Baumann, F. R. Giorgetta, and N. R. Newbury, “Microwave generation with low residual
phase noise from a femtosecond fiber laser with an intracavity electro-optic modulator”, Opt. Express 19,
24387-24395 (2011)
[3] B. Lipphardt, G. Grosche, U. Sterr, C. Tamm, S. Weyers, and H. Schnatz, “The stability of an optical clock
laser transferred to the interrogation oscillator for a Cs fountain”, IEEE Trans. Instrum. Meas. 58, 1258-1262
(2009)
50
Time and frequency Transfer with the ESA/CNES ACES-PHARAO Mission
P. Delva, C. Guerlin, C. Le Poncin-Lafitte, P. Laurent, F. Meynadier, P. Wolf
LNE / Syrte – Observatoire de Paris, CNRS, UPMC Univ Paris 06, UMR8630, F-75005, Paris, France
Email: [email protected]
Abstract. The Atomic Clocks Ensemble in Space (ACES-PHARAO mission1), which will be installed
on board the International Space Station in 2016, will realize in space a time scale of very high stability
and accuracy. This time scale will be compared to a ground clock network thanks to a dedicated twoway microwave link. For that purpose our team is developing advanced time and frequency transfer
algorithms.
The altitude difference between the ACES-PHARAO clock and ground clocks will allow to measure
the gravitational redshift with unprecedented accuracy, as well as looking for a violation of Lorentz
local invariance. Several ground clocks based on different atomic transitions will be compared to look
for a drift of fundamental constants. Moreover, the mission will pave the way to a new type of geodetic
measurement: the gravitational redshift will be used to measure gravitational potential differences
between distant clocks, with an accuracy around 10 cm.
1
Salomon, C., Cacciapuoti, L., & Dimarcq, N. 2007, International Journal of Modern Physics D, 16, 2511
51
Overcoming Loss of Contrast in Atom Interferometry due to Gravity Gradients
A. Roura1, W. Zeller1, W. P. Schleich1
1
Institut für Quantenphysik, Universität Ulm, Albert-Einstein-Allee 11, 89081 Ulm, Germany
[email protected]
Abstract. Long-time atom interferometry in drop towers, sounding rockets and space missions is
required for high-precision measurements of fundamental physical properties, including tests of the
equivalence principle. Such measurements rely on the dependence of the phase shift between the two
branches of a Mach-Zehnder interferometer as a function of the interrogation time and on the
corresponding oscillations in the integrated atom density at each exit port.
For long times, however, gravity gradients cause the classical trajectories associated with the two
branches not to close in phase space, which leads to a spatially dependent phase shift between the two
overlapping wave-packets at the exit ports and gives rise to a fringe-pattern density profile. This in turn
implies a smaller amplitude of the oscillations in the total number of atoms at each port and a reduction
of the interferometer's sensitivity. In fact, this effect alone leads to a 40% loss of contrast in the current
plans for STE-QUEST.
Here we present a mitigation strategy to overcome such loss of contrast which is very simple to
implement.
FIGURE 1. Contrast vs. half interferometer time (in seconds) for an expanding BEC in a Mach-Zehnder
interferometer including the effects of the Earth's gravity gradient. Blue and red curves correspond to an effective
temperature of 1 nK and 70 pK respectively. The contrast at long times is clearly higher when the mitigation
strategy is employed (dashed lines) than otherwise (continuous lines).
ACKNOWLEDGMENTS
This project is supported by the German Space Agency (DLR) with funds provided by the Federal
Ministry of Economics and Technology (BMWi) under grant number 50WM1136.
52
Development of Atomic Clocks and Frequency Transfer Techniques
at Three Laboratories around Tokyo Area
Y. Hanado1, F.-L. Hong2, H. Katori3,4
1
National Institute of Information and Communications Technology (NICT),
4-2-1, Nukuikita, Koganei, Tokyo, 184-8795, Japan
2
National Metrology Institute of Japan (NMIJ), National Institute of Advanced Industrial Science and
Technology (AIST), Central 3, 1-1-1 Umezono, Tsukuba, Ibaraki 305-8563, Japan
3
Department of Applied Physics, Graduate School of Engineering, The University of Tokyo,
7-3-1 Hongo, Bunkyo-ku, Tokyo 113-8656, Japan
4
RIKEN, Quantum Metrology Laboratory, 2-1 Hirosawa, Wako, Saitama 351-0198, Japan
[email protected]
Abstract. Four laboratories around Tokyo area actively develop state-the-art optical clocks and related
techniques. The group at the University of Tokyo and Riken develops Sr lattice clocks and Hg lattice
clocks, National Metrology Institute of Japan (NMIJ) develops Yb lattice clock and Sr-Yb lattice clock,
and National Institute of Information and Communications Technology (NICT) develops Ca+ clock,
In+ clock, and Sr lattice clock. These laboratories are available to link with optical fiber or precise
satellite time and frequency transfer, and collaborate together to join the ACES mission if its ground
terminal comes in Japan.
The group at the University of Tokyo and Riken has been developing optical lattice clocks with spinpolarized fermions in a 1D lattice and unity-occupation bosons in a 3D lattice to suppress atomic
interactions and demonstrated frequency comparison of these two clocks to evaluate their performances
[1]. By rejecting the Dick effect [2], the Allan standard deviation of 4×10-16/√τ/s was demonstrated [3]
to allow exploring 1×10-17 uncertainty in τ ≈ 1,600 s, which corresponded to the QPN limit for N ≈
1,000 atoms. This group has also been developing the optical lattice clocks with strontium atoms in a
cryogenic environment and those with mercury atoms that have one order smaller magnitude of
sensitivity to blackbody radiation than that of strontium. The current status of the clock comparison
comprising of Sr (x2) and Hg (x2) clocks are being evaluated, both of which are planned to operate
without dead time in the future. The frequency comparison of these clocks at 10-18 will allow us to
investigate the constancy of fundamental constants with high precision.
At NMIJ, two Cs atomic fountain clocks (NMIJ-F1 and NMIJ-F2), two optical clocks (171Yb optical
lattice clock and Yb/Sr dual optical lattice clock) and precise frequency transfer systems are being
developed. NMIJ-F1 has made the calibration of the International Atomic Time (TAI) 22 times
between 2007 and 2011 with a combined uncertainty of 3.9 × 10-15. The construction of NMIJ-F2 has
been continued toward an uncertainty of 10-16. As to the 171Yb lattice clock, absolute frequency was
determined as 518 295 836 590 863.1(2.0) Hz relative to the SI second [4]. The 87Sr optical lattice
clock project has also started for the measurement of the Yb/Sr frequency ratio with an uncertainty
beyond the Cs limit [5, 6]. Fiber-based frequency combs with a multi-branch configuration are also
developed, which can transfer both linewidth and frequency stability to another wavelength at the
millihertz level [7, 8]. (This research related with optical clock receives support from the JSPS through
its FIRST Program.) As for the international time and frequency transfer, dual frequency carrier phase
GPS receiver is the main tool and the Two Way Satellite Time and Frequency Transfer (TWSTFT)
facilities for Asia Pacific link and for Asia-European link are back-up tool.
At NICT, two Cs atomic fountain clocks (NICT-CsF1 and NICT-CsF2) and two optical atomic clocks
are developed. NICT-CsF1 [9] has been in operation since 2006 and contributes to the determination of
TAI with a combined uncertainty of 2 × 10-15. NICT-CsF2 using a pure optical molasses is under
development, and most systematic shifts are evaluated at a level below 5E-16 uncertainty. The
remaining measurements for mw-related shifts are underway. As for the optical clocks, a single 40Ca+
clock and a 87Sr lattice clock have started operations in 2008, and 2011, respectively. The 40Ca+ and
87
Sr clock transition frequencies were measured with systematic uncertainties of 2.2×10-15 [10] and
5×10-16 [11], respectively.. As a new ion, we started a development of In+ clock. NICT is in charge of
the generation and dissemination of JST, time and frequency transfers with PTB and USNO are
53
regularly performed by TWSTFT and GPS. The developments of an advanced TWSTFT technique
[12] and optical fiber transfer have been actively conducted. Especially, the agreement of two Sr lattice
clocks between NICT and University of Tokyo was confirmed by using this optical fiber noise
canceling system [13].
In the presentation, the details of each activity are introduced.
REFERENCES
[1]
[2]
[3]
[4]
[5]
[6]
[7]
[8]
[9]
[10]
[11]
[12]
[13]
C. W. Chou, D. B. Hume, J. C. J. Koelemeij†, D. J. Wineland, and T. Rosenband, "Frequency Comparison
of Two High-Accuracy Al+ Optical Clocks," Phys. Rev. Lett. 104, 070802 (2010).
G. J. Dick, J. D. Prestage, C. A. Greenhall, and L. Maleki, " Local Oscillator Induced Degradation of
Medium-Term Stability in Passive Atomic Frequency Standards," in 22nd PTTI Applications and Planning
Meeting, p. 487, (1990).
M. Takamoto, T. Takano, and H. Katori, "Frequency comparison of optical lattice clocks beyond the Dick
limit," Nature Photon. 5, 288 (2011).
M. Yasuda, H. Inaba, T. Kohno T. Tanabe, Y. Nakajima, Hosaka, D. Akamatsu, A. Onae, T.Suzuyama, M.
Amemiya, and F.-L. Hong, "Improved Absolute Frequency Measurement of the 171Yb Optical Lattice Clock
towards a Candidate for the Redefinition of the Second," Appl. Phys. Express, 5, 102401 (2012).
D. Akamatsu, M. Yasuda, T. Kohno, K. Hosaka, and F.-L. Hong, "A compact light source at 461 nm using a
periodically poled LiNbO3 waveguide for strontium magneto-optical trapping," Opt. Express 19, 2046
(2011).
D. Akamatsu, Y.Nakajima, H. Inaba, K. Hosaka, M. Yasuda, A. Onae, and F.-L. Hong, "Narrow linewidth
laser system realized by linewidth transfer using a fiber-based frequency comb for the magneto-optical
trapping of strontium," Opt. Express 20, 16010 (2012).
Y. Nakajima, H. Inaba, K. Hosaka, K. Minoshima, A. Onae, M. Yasuda, T. Kohno, S. Kawato, T.
Kobayashi, T. Katsuyama, and F.-L. Hong, "A multi-branch, fiber-based frequency comb with millihertzlevel relative linewidths using an intra-cavity electro-optic modulator," Opt. Express 18, 1667 (2010).
K. Iwakuni, H. Inaba, Y. Nakajima, T. Kobayashi, K. Hosaka, A. Onae, and F.-L. Hong, "Narrow linewidth
comb realized with a mode-locked fiber laser using an intra-cavity waveguide electro-optic modulator for
high-speed control," Opt. Express 20, 13769 (2012).
M. Kumagai,H. Ito, M. Kajita, and M. Hosokawa "Evaluation of caesium atomic fountain NICT-CsF1,"
Metrologia 45 139 (2008).
K. Matsubara, H. Hachisu, Y. Li, S. Nagano, C. Locke, A. Nogami, M. Kajita, K. Hayasaka, T. Ido, and M.
Hosokawa, "Direct comparison of a Ca+ single-ion clock against a Sr lattice clock to verify the absolute
frequency measurement," Opt. Express 20, 22034 (2012).
A. Yamaguchi,N. Shiga, S. Nagano, Y. Li, H. Ishijima, H. Hachisu, M. Kumagai, and T. Ido."Stability
Transfer between Two Clock Lasers Operating at Different Wavelengths for Absolute Frequency
Measurement of Clock Transition in 87Sr," Appl. Phys. Express 5, 022701 (2012).
M. Fujieda, T. Gotho, F. Nakagawa, R. Tabuchi, M. Aida, and J. Amagai, "Carrier-Phase-Based Two-Way
Satellite Time and Frequency Transfer," IEEE TUFFC, 59, 12, 2625 (2012).
M. Fujieda, M. Kumagai, S. Nagano, A. Yamaguchi, H. Hachisu, and T. Ido, "All-optical link for direct
comparison of distant optical clocks,", Opt. Express 19 16498 (2011).
54
Features of the STE-QUEST S/C Design with Focus on Instrument Interfaces,
Telecommand & Data Handling, and Science Links
G. Hechenblaikner1, M-P Hess1, J Beck1, M. Williams2, Astrium Study Team1,2
1
2
Astrium GmbH, Satellites, 88039 Friedrichshafen, Germany
Astrium Ltd., Gunnels Wood Road, Stevenage, SG1 2AS, United Kingdom
[email protected]
Abstract. Space-Time-Explorer-Quantum Equivalence Principle Space Test (STE-QUEST) is an Mclass mission candidate for launch in 2022/2024 in the ESA Cosmic Vision programme. It was selected
by the European Space Agency for an assessment study until mid-2013, which started with an ESAinternal assessment, followed by ongoing mission assessment studies performed by competitive
industrial teams.
We report on preliminary results of the mission assessment under the lead of EADS Astrium. Some
basic features of the mission design are discussed and specific design concepts of the spacecraft,
science payload and time and frequency links are briefly reviewed.
Starting with an overview over mission objectives and derived science requirements we discuss their
impact on the mission and system design. A rough sketch of the baseline design of the spacecraft is
given and the design choice for certain subsystems and operation strategies is discussed in light of the
key requirements. Design aspects with particular relevance to the two instruments, the atom
interferometer and the atomic clock, are given special emphasis. Among those payload relevant topics,
instrument interfaces, payload accommodation, anticipated data rates and ground contact times are
further elaborated.
We conclude with a short summary of the science link and precise-orbit-determination design and
review associated performance features.
55
Towards a free space satellite to ground coherent optical link
N. Chiodo1, P. Wolf1, K. Djerroud1, O. Acef1, G. Santarelli1
E. Samain2, J. Paris2, B. Fleury3, J. Montri3, C. Petit3
1
2
LNE-SYRTE, Observatoire de Paris, CNRS, UPMC, Paris, France
Géo-Azur, Observatoire de la Côte d’Azur, CNRS, Grasse, France
3
DOTA, ONERA, Chatillon, France
[email protected]
Abstract. Coherent links are based on the direct measurement of the optical phase rather than an
amplitude modulation (pulses) as in conventional laser ranging. A limiting factor in this kind of links is
the time variation of the refractive index of the terrestrial atmosphere due to the turbulence
phenomenon that adds phase noise and intensity fluctuations both decreasing the performance of the
link. Based on first results of a ground-ground coherent link1 with 5 km propagation through the
turbulent atmosphere we estimate the potential performance of such links for ground to space
frequency comparison of clocks, showing that significant improvement with respect to existing
methods can be expected, potentially down to 10-17 in relative frequency in less than 1000 s integration
time.
Our next step towards this goal is the experimental realization of a link from a ground
telescope to a low Earth orbit (LEO) satellite equipped with corner cube reflectors. We describe the
requirements on the laser system for such a link (stability at the 10-13 level or below, whilst being
tunable over 20 GHz) and present our solution for that challenge showing the performance of our laser
system.
We describe first (unsuccessful) experiments that took place in November 2012, January 2013
and March 2013 at the 1.5 m lunar ranging telescope of the Côte d’Azur Observatory in collaboration
with ONERA (French aerospace lab) who provides the adaptive optics bench. We discuss the
encountered challenges and difficulties, and the implemented or planned solutions.
ACKNOWLEDGMENTS
Helpful discussions with Sébastien Bize are greatfully acknowledged. This work was supported by
CNES research grant (R-S09/SU-0001-021) DA 10069354, financing by LNE and by the Action
Spécifique GRAM (INSU/INP/CNES).
REFERENCES
Djerroud K., et al., “Coherent Optical Link Through the Turbulent Atmosphere”, Opt. Lett. 35, 1479-1481 (2010).
56
STE-QUEST: TAS Assessment Study Main Outcomes
A.Ferri1, C.Dufour2, L.Bonino1, A.Marcer1, M.Siccardi5 , D.Grana1
1
Thales Alenia Space Italy, Strada Antica di Collegno 253, 10146 Turin, Italy
2
Thales Alenia Space France, Boulevard du Midi, Cannes, France
5
M. Siccardi, SKK,Via XX Settembre, 30, 12100 Cuneo, Italy
[email protected]
Abstract. This paper presents the results of 1-year and a half assessment study performed by the
THALES ALENIA SPACE Team for the European Space Agency on the STE-QUEST mission, a
medium –class mission planned for the next decade to test the different aspects of Einstein’s
Equivalence Principle using quantum sensors. This paper highlights the major complexities
encountered during the study activities, which reflect the challenging scientific and technological
aspects of the mission, and the proposed solutions (the drag free control, the solar array rotation and
attitude control strategy, the impact of the environment, the implementation of the scientific link).
Nonetheless, this demanding mission is deemed feasible, and a short summary of the major aspects of
the S/C design is illustrated. Also, the activities performed on the End to End Performance Model are
summarized with methods and results. The developed software models the typical behavior of the
Scientific Links between the STE-QUEST spacecraft and the dedicated ground terminal, located in
Turin, both in the radiofrequency and in the optical fields, assessing their accuracy and stability
performances. The model takes into account the factors affecting the time and frequency transfer, in
particular the effects which are not compensated by the two-way links’ structure, such as atmospheric
influence on the different frequencies, orbit dynamics, hardware and thermal issues.
57
Microwave Link Design and Optical Link Design for Future Scientific Space
Missions
T. Feldmann, W. Schäfer
TimeTech GmbH, Curiestr. 2, 70563 Stuttgart, Germany
[email protected]
Abstract. During the last years significant progress has been achieved in the field of optical atomic
clocks, exceeding traditional microwave clocks and the capabilities of current time and frequency
transfer via satellites by more than two orders of magnitude. The best optical frequency standards reach
fractional frequency instabilities of a few parts in 10-17 after 1000 s integration time and fractional
frequency uncertainties of few parts in 1018. This level of performance requires the introduction of new
techniques for metrological time and frequency comparisons. Applications include relativistic geodesy
and fundamental physics research. Consequently, high performance links and optical clocks have been
proposed in the ESA Cosmic Vision program as key technology to probe fundamental laws of physics,
like gravitational redshift measurements to detect violations of the Local Position Invariance (LPI)
principle, light propagation tests including Shapiro delay, and other fundamental research, such as time
variations of fundamental constants and scale dependent gravity.
A technology development study has been performed by TimeTech GmbH, in cooperation with the
national metrology laboratories of Germany (PTB), France (LNE-SYRTE), and UK (NPL), the
German national aeronautics and space research centre (DLR), and the French aerospace lab
(ONERA), with the aim of designing and developing a metrology link for high performance frequency
comparisons of clocks between space and ground. The results of this activity are important both to
support future ESA missions in the field of fundamental physics and to provide clocks on ground with
the necessary means to connect them in a worldwide network. Emphasis was on the comparison of
clocks through the turbulent atmosphere (space-to-ground link) with frequency uncertainty at the 10-18
level and frequency stability of 10-18 at 10000 s integration time. The achievable performance shall
bridge the gap between recent clock developments and available time/frequency comparison and
ranging techniques and it shall be sufficient to support future ESA missions in the field of fundamental
physics, such as the proposed Space-Time Explorer and Quantum Equivalence Principle Space Test
(STE-QUEST) mission.
The relevant technical parameters and limitations were analyzed in detail and two prospective
approaches were identified: Bi-directional optical link (OL) and bi-directional microwave link (MWL).
The proposed links were investigated as candidate metrological systems for the STE-QUEST mission.
The compliance with its requirements is feasible by building on experience with current systems
together with moderate improvements in a few, well-defined technological areas.
ACKNOWLEDGMENTS
We would like to thank G. Grosche (PTB), D. Piester (PTB), H. Schnatz (PTB), P. Wolf (LNESYRTE), C. Robert (ONERA), D. Giggenbach (DLR), R. MataCalvo (DLR), M. Hoque (DLR), and J.
Davis (NPL) for their contributions to the study and their outstanding cooperation. We acknowledge
TESAT GmbH for valuable support.
58
The Cosmological Context
P. Binétruy
1
APC, Université Paris Diderot,
CNRS, CEA, Obervatoire de Paris and Sorbonne Paris Cité
Paris, France
Abstract. The era of precision measurement that cosmological observations have now reached
constrains the models of fundamental physics that may explain some of the central concepts, in
particular inflation and dark energy. This relationship will be illustrated on specific examples and it
will be shown that, in many cases, this leads to violations of the Einstein equivalence principle.
59
Towards a Space-Qualified High-Finesse Cavity for Optical Clocks
G. P. Barwood1, R. A. Williams1, S. A. Webster1,2 and P. Gill1
1
National Physical Laboratory, Hampton Road, Teddington, Middx TW11 0LW
Present Address: M Squared Lasers Ltd, West of Scotland Science Park, Maryhill Rd, Glasgow, G20
0SP
2
[email protected]
Abstract. A high finesse optical cavity targeted on space applications has been developed, comprising
a compact cubic spacer (L = 50 mm) with low sensitivity to acceleration [Webster 2011]. In order to
characterise the cavity, a pair of longer cavities (L = 300 mm) with parts in 1016 relative frequency
stability is also being developed. Three YAG lasers at 1064 nm can be independently locked to these
three cavities. Locking of a 1064 nm fibre laser to the cubic cavity has also been demonstrated. This
poster will discuss the current status of both cavity types.
The cubic cavity spacer has demonstrated the lowest passive sensitivity to acceleration to date with a
maximum sensitivity along any of the three principal axes of 2.5 x 10-11/g (g = 9.81 m/s2). The cavity is
mounted symmetrically via four hemispherical nylon supports in a tetrahedral configuration, pressured
at up to 100 N. Whilst this mounting arrangement works well under conditions of low acceleration,
consideration needs to be given to the conditions encountered during the non-operational phases of
space launch and deployment, where transient accelerations of up to 80g could be experienced,
together with temperature cycling of ~50°C. The existing cubic cavity spacer is manufactured from a
ULE sample that was not specially selected for zero linear thermal expansion close to room
temperature, and has fused silica mirrors; the measured thermal expansion is 25 MHz/K. Future cubic
cavities with ULE material with a zero linear thermal expansion at more convenient temperatures will
allow a frequency stability close to the ~1 x 10-15 thermal noise limit.
In order to characterise the cubic cavity design, a pair of high finesse cavities with ~300 mm spacers
has been developed, where a reduced thermal noise limit for the cavities is achieved via their long
spacer lengths and fused silica mirrors [Notcutt 2006]. Use of silica mirrors increases the overall linear
thermal expansion of the cavity and so a novel approach has been adopted to develop a thermally
compensated cavity. This differs from the approach adopted by PTB [Legero 2010] by using a reentrant mirror design. Finite element modelling indicates that the temperature where the effective linear
thermal expansion is zero should be 25°C, close to the measured crossover temperature of 24.4°C. Beat
frequency measurements between two YAG lasers locked to independent 300-mm cavities demonstrate
an Allan deviation of ~8 parts in 1016 (5.7 parts in 1016 single laser stability) at 1 s.
ACKNOWLEDGMENTS
This work is supported by the UK and European Space Agencies, the UK Technology Strategy Board
and the National Physical Laboratory Strategic Research Programme.
REFERENCES
Legero, T. Kessler, T. and Sterr U, “Tuning the thermal expansion properties of optical reference cavities with
fused silica mirrors”, J. Opt. Soc. Am. B 27, No. 5/May 2010
Notcutt M, Ma, L-S, Ludlow A.D, Foreman, S.M, Ye J. and Hall J.L., “Contribution of thermal noise to frequency
stability of rigid optical cavity via Hertz-linewidth lasers” Phys Rev A, 73, 031804(R) (2006)
Webster S.A. and Gill P., “Force-insensitive optical cavity”, Optics Letters, 36, 3572-3574 (2011)
60
STE-QUEST - Geodetic Mission for Terrestrial and Celestial Reference Frame
Realization
D. Svehla, M. Rothacher, A. Nothnagel, U. Hugentobler, P. Willis, R. Biancale, M. Ziebart, G.
Appleby
ETH Zurich, University of Bonn, TU München, Institut Physique du Globe de Paris, CNES,
UCL London, NERC UK
[email protected]
The Space-Time Explorer and QUantum Equivalence Principle Space Test (STE-QUEST) is the
Medium Class fundamental physics mission pre-selected for the M3 slot of the ESA Cosmic Vision
Programme. If finally selected in 2013/2014, the highly elliptical orbit of STE-QUEST satellite can be
used for the terrestrial reference frame (TRF) realization by means of onboard GNSS, SLR and VLBI
radio source (microwave metrology link - compatible with VLBI2010). By upgrading the onboard
GNSS receiver for DORIS tracking, the STE-QUEST mission will be equivalent to the GRASP
mission proposal from JPL or a similar mission proposals followed by ETH Zurich and GFZ Potsdam
for terrestrial reference frame realization. However, the highly elliptical orbit of STE-QUEST provides
advantages for terrestrial and celestial reference frame determination (e.g. VLBI tracking in apogee),
compared to the GRASP mission proposal limited to the LEO orbit only.
We present science objectives of the STE-QUEST mission related to geodesy. In particular we will
show how STE-QUEST can
-
meet the GGOS (Global Geodetic Observing System) goals for terrestrial reference frame of
the Earth, i.e. 1 mm accuracy and 0.1 mm/yr stability of the TRF
-
significantly improve satellite altimetry and tide gauge records of global mean sea level rise
by using highly accurate TRF from the STE-QUEST mission
-
contribute to mass transport in polar regions (ice mass loss) by referencing altimetry (Cryosat,
ICESat) and gravity data (GRACE, GOCE) to the common TRF from the STE-QUEST
mission
-
determine the long-wavelength variability in the gravity field of Earth (central term and J2)
that are either not observed or poorly observed by GRACE (e.g. J2)
-
be used for the realization of both, the terrestrial and the celestial reference frame of the Earth
with zenith pointing phased array GNSS antenna, observing GNSS (and VLBI) signals
-
improve orbit accuracy of GNSS satellites by one order of magnitude
-
contribute to the monitoring of the Earth rotation and orientation parameters making use of the
highly elliptical orbit of the STE-QUEST mission (UT1 etc.) and VLBI tracking from the
ground (quasars/GNSS satellites)
-
provide a common time scale for all space geodesy techniques (GNSS, DORIS, VLBI and
SLR)
-
disseminate TRF and time anywhere on Earth or in space
-
be used for operational relativistic geodesy
61
Quantum Mechanics and the Equivalence Principle
Domenico Giulini
Institut für Theoretische Physik,Leibniz Universität Hannover
Appelstrasse 1, D-30167 Hannover, Germany
[email protected]
Einstein's Equivalence Principle (EEP) has been expressed in a variety of ways, most of which
using notions and idealisations from classical physics, which do not easily apply to Quantum
Mechanics (QM). There seems to be some confusion in the literature as to whether QM either
obeys, eludes, or even contradicts EEP.
However, whatever the precise wording might be, the intended impact of any formulation of EEP
must be that gravity can be absorbed into geometry. Keeping that in mind, the amount of
confusion, I will argue, can be considerably reduced. Finally I apply this to the problem of
gravitational self coupling in the semi-classical framework of the Einstein-Klein-Gordon system,
which in the 1/c → 0 approximation results in the Schroedinger-Newton equation. Its
gravitationally induced collapse behaviour will be illustrated.
62