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Condensed Matter Approaches to Quantum Gases
Condensed Matter Approaches to Quantum Gases

... and discuss theoretical approaches that are being used in the field of quantum gases. The condensed matter behavior of quantum Bose gases originates from the dominant role of interparticle interactions once a single quantum state becomes macroscopically occupied [6]. So was the difference in free ex ...
Optical control of the spin of a magnetic atom in a semiconductor
Optical control of the spin of a magnetic atom in a semiconductor

... holes which are quantized along the QDs’ growth axis with their spin component taking only the value Jz =±3/2. In first approximation, the hole-Mn exchange interaction reduces to an Ising term J z S z and shifts the emission energy of the QD, depending on the relative orientation of the spin of the ...
9691 KB pdf file
9691 KB pdf file

... and the flavour degrees of freedom get mixed in this formulation at finite lattice spacings. This is a disadvantage, since the location and the existence of the critical point depends on the number of fermion flavours. It is therefore desirable to use fermions which have unambiguous flavour identifi ...
Tunable spin-spin interactions and entanglement of ions in
Tunable spin-spin interactions and entanglement of ions in

... quantum information processor13–15 without the need to bring the quantum bits (qubits) into the same trapping potential well16,17. Such coupling might also prove useful for metrology and sensing. For example, it could extend the capabilities of quantum-logic spectroscopy18,19 to ions that cannot be ...
Path Integral Formulation of Quantum Tunneling: Numerical Approximation and Application to
Path Integral Formulation of Quantum Tunneling: Numerical Approximation and Application to

... path. Further explanation of exactly how this is done is given below in section 2.4.2. However, in the case of the total energy of the system being less than V0 we know that there cannot exist such a stationary path ( if we were able to find one it would be correspond to a classical path from xi to ...
Fractional excitations in the square lattice quantum antiferromagnet
Fractional excitations in the square lattice quantum antiferromagnet

Majorana Modes at the Ends of Superconductor
Majorana Modes at the Ends of Superconductor

... implemented by the transformation C ¼ y y K, where  matrices act on Nambu particle-hole indices, and K denotes complex conjugation. A vortex given by ðrÞ ¼ jðrÞjei , breaks T but preserves C. Role of vortex orientation.—Consider a straight vortex along z. ^ The dispersion Eðkz Þ in general, h ...
spin squeezing and quantum entanglement in interaction
spin squeezing and quantum entanglement in interaction

... In quantum optics, there are several models which play important roles in the study of interaction of a quantized field with atoms. One of the well known models is the Dicke model (Dicke, 1954) which describes the interaction of a quantized radiation field with a sample of N two-level atoms located ...
Coherence of atomic matter-wave fields - IAP TU
Coherence of atomic matter-wave fields - IAP TU

... detector bandwidth DE d is assumed to be much narrower than the energy width DE g of the ground-state Schrödinger field, which is determined solely by the spread in center-ofmass momentum ~temperature! since all atoms occupy the same internal state. The reverse is true in the second case. We note t ...
Aim - MazesMath
Aim - MazesMath

Ady Stern
Ady Stern

... Interferometer (lowest order) ...
Minimally Entangled Typical Quantum States at Finite Temperature
Minimally Entangled Typical Quantum States at Finite Temperature

... CPSs, but they are not typical wave functions; e.g., at T ¼ 0, the typical wave function should be the ground state, not a CPS. The P energy eigenvalues Es and eigenstates jsi satisfy  ¼ s eEs jsihsj and thus Eq. (1). However, they should not be thought of as typical states. Schrödinger called t ...
the PDF - JILA Science - University of Colorado Boulder
the PDF - JILA Science - University of Colorado Boulder

... the center of the much larger K distribution. We also need to preserve the high filling of each atomic species in the presence of the other. Finally, any excess atoms should be removed quickly from the lattice after the molecule production. To prepare the atomic quantum gases, we evaporate Rb in the ...
the PDF - JILA Science - University of Colorado Boulder
the PDF - JILA Science - University of Colorado Boulder

Annals of Physics Classical impurities and boundary Majorana zero
Annals of Physics Classical impurities and boundary Majorana zero

... Thereby it maps the Hamiltonian (2) into the same model, but with J and h interchanged, up to boundary terms. In the KM representation (3), the non-local transformation (7) simply reduces to a translation by one lattice spacing. 3. Classical impurity spins in quantum Ising chain: qualitative picture ...
Renormalization
Renormalization

... One might be tempted to conclude from this that a phenomenological description is simply not possible beyond the delta function approximation. After all, if the underlying theory is known, one can always compute the corrections without any approximation, and it might be argued that the inconsistenci ...
The reduced Hamiltonian for next-to-leading-order spin
The reduced Hamiltonian for next-to-leading-order spin

... both in harmonic gauge. Later, within the ADM canonical formalism, a Hamiltonian presentation was achieved [14] (see also [15]). The NLO spin(1)-spin(2) dynamics was found in [16, 15] and confirmed by [17, 18]. Higher PN orders linear in spin were tackled recently in [19, 20, 5]. In particular, Ref. ...
FERMI-HUBBARD PHYSICS WITH ATOMS IN AN OPTICAL LATTICE1
FERMI-HUBBARD PHYSICS WITH ATOMS IN AN OPTICAL LATTICE1

... bandwidth to the trapping potential and defines the number of trapped atoms per spin state, which corresponds to half-filling in the trap center at zero temperature. The related characteristic filling ρ = N N 0 can be controlled in the experiment by changing the total atom number N, the trapping fre ...
Dynamics of Quantum Many Body Systems Far From Thermal
Dynamics of Quantum Many Body Systems Far From Thermal

for hard disk drives
for hard disk drives

... sensor yields a voltage pulse with the polarity determined by the sign of the magnetic poles of the transition. To ensure that positive and negative voltage pulses have the same amplitude, the magnetization of the free layer at the ...
Fig. - UCSD Physics
Fig. - UCSD Physics

... In our experiment, the key idea is to combine coherent Bloch oscillations with Ramsey interferometry to determine the geometric Zak phase and reveal the underlying topological character of the Bloch bands. Previously, the measurement of topological invariants was confined to 2D bands by exploiting t ...
Lecture Notes Chapters 1-7
Lecture Notes Chapters 1-7

... There is another view of condensed matter physics which we shall also explore, that is less concerned with calculation and more concerned with phenomena per se. The distinguishing character of solid state systems is that they exhibit collective phenomena, that are properties of macroscopic systems a ...
Quantum Heisenberg models and their probabilistic representations
Quantum Heisenberg models and their probabilistic representations

... weight of the form ϑ#cycles or ϑ#loops with parameter ϑ = 2. Recently, Schramm studied the cycle model on the complete graph and with ϑ = 1 (that is, without this factor) [41]. He showed in particular that cycle lengths are generated by a split-merge process (or “coagulation-fragmentation”), and tha ...
PDF only - at www.arxiv.org.
PDF only - at www.arxiv.org.

... The atoms, unlike the temperature sensors, are influenced not only by the total integrated power of the BBR inside the chamber, known as the BBR static correction, but also the frequency-weighted spectrum of the radiation inside the chamber, known as the BBR dynamic correction. We constructed a ray ...
Spinons and triplons in spatially anisotropic frustrated antiferromagnets ARTICLES MASANORI KOHNO
Spinons and triplons in spatially anisotropic frustrated antiferromagnets ARTICLES MASANORI KOHNO

... antiferromagnets. Note that the two-spinon approximation is not a low-energy one (unlike the familiar and powerful ‘bosonization’ technique) as it includes spinons with energies reaching up to πJ /2  J 0 . This is essential for comparison with inelastic neutron scattering data which extends over th ...
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Ising model

The Ising model (/ˈaɪsɪŋ/; German: [ˈiːzɪŋ]), named after the physicist Ernst Ising, is a mathematical model of ferromagnetism in statistical mechanics. The model consists of discrete variables that represent magnetic dipole moments of atomic spins that can be in one of two states (+1 or −1). The spins are arranged in a graph, usually a lattice, allowing each spin to interact with its neighbors. The model allows the identification of phase transitions, as a simplified model of reality. The two-dimensional square-lattice Ising model is one of the simplest statistical models to show a phase transition.The Ising model was invented by the physicist Wilhelm Lenz (1920), who gave it as a problem to his student Ernst Ising. The one-dimensional Ising model has no phase transition and was solved by Ising (1925) himself in his 1924 thesis. The two-dimensional square lattice Ising model is much harder, and was given an analytic description much later, by Lars Onsager (1944). It is usually solved by a transfer-matrix method, although there exist different approaches, more related to quantum field theory.In dimensions greater than four, the phase transition of the Ising model is described by mean field theory.
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