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Topology of Bands in Solids: From Insulators to Dirac Matter
Topology of Bands in Solids: From Insulators to Dirac Matter

... of crystals was found to be inadequate and restrictive (in particular translations on the crystal do not commute due to the magnetic field and require the definition of a magnetic unit cell) and soon the initial topological characterization evolved to a more general form [4, 5]. In this context it l ...
Gibbs' paradox and black-hole entropy
Gibbs' paradox and black-hole entropy

... Since the entropy of the Sun is of the order of 1057 kB , it would experience an increase in 20 orders of magnitude in entropy after collapsing to a black hole.2 Gravitational collapse thus ensues an enormous increase of entropy. It is a big challenge for any approach to quantum gravity to provide a ...
1.4 Particle physics - McMaster Physics and Astronomy
1.4 Particle physics - McMaster Physics and Astronomy

... There are two separate forces acting on the system, one associated with a time scale T1 and another, weaker force, associated with a time scale T2 . The first of these respects the conservation of the quantity Q̇2 while the second violates it! This precise situation arises very frequently in particl ...
The Cosmological Constant From The Viewpoint Of String Theory
The Cosmological Constant From The Viewpoint Of String Theory

... or extremely small by particle physics standards – really only arises in the presence of gravity, since without gravity, we don’t care about the energy of the vacuum. Moreover, it is mainly a question about quantum gravity, since classically it would be more or less natural to just decide – as Einst ...
Eavesdropping of two-way coherent-state quantum cryptography via gaussian quantum cloning machines
Eavesdropping of two-way coherent-state quantum cryptography via gaussian quantum cloning machines

... security in the presence of a particular kind of individual attack which is based on combinations of one-mode Gaussian cloners. Our analysis indicates that the superadditive behavior of the security threshold should also hold against this kind of Gaussian attack. However, our analysis is far from co ...
Titles and Abstracts
Titles and Abstracts

... data for all relevant invariant differential operators. Sergey Fedoruk (Bogoliubov Laboratory of Theoretical Physics, JINR, Russia) Title: Gauged N=4 supersymmetric mechanics with spin supermultiplets Abstract: We present basics of the gauged superfield approach to constructing N-extended supersymme ...
Fock Spaces - Institut Camille Jordan
Fock Spaces - Institut Camille Jordan

Exploring topological phases with quantum walks
Exploring topological phases with quantum walks

... The topology of this phase is characterized by a nonzero winding of the spinor eigenstates on a great circle of the Bloch sphere, as illustrated in Fig. 1(b). We discuss how, with slight modifications of the DTQW protocol, DTQWs can realize a wide range of topological phases in 1D and two dimensions ...
An Introduction to Quantum Control
An Introduction to Quantum Control

A review of E infinity theory and the mass spectrum of high energy
A review of E infinity theory and the mass spectrum of high energy

Quantum transport of two-species Dirac fermions in dual-gated three-dimensional topological insulators ARTICLE
Quantum transport of two-species Dirac fermions in dual-gated three-dimensional topological insulators ARTICLE

... characterized by an insulating bulk band gap and gapless conducting topological surface states (TSS) of spin-helical massless two-dimensional (2D) Dirac fermions1,2. Such surface states are topologically non-trivial and protected by time-reversal symmetry, thus immune to back scattering. The potenti ...
Part (a): Matrix Elements
Part (a): Matrix Elements

To Demonstrate That Gravity Is Action-at-a-distance
To Demonstrate That Gravity Is Action-at-a-distance

... Einstein experience with the creation of general relativity: But the creative principle resides in mathematics. In a certain sense, therefore, I hold it true that pure thought can grasp reality, as the ancients dreamed. (A passage in Einstein’s 1933 Herbert Spencer Lecture.). It gave direction to la ...
2. The Integer Quantum Hall Effect
2. The Integer Quantum Hall Effect

Composite systems and their representation in quantum and
Composite systems and their representation in quantum and

... theory yields a fruitful method to investigate what these physical theories say about the world. Prospects: one then finds, independent of any physical model, relationships and constraints that capture (some of) the essential physical assumptions and structural aspects of the theory in question, i.e ...
Quantum Structures due to fluctuations of the measurement
Quantum Structures due to fluctuations of the measurement

INFO SHEET March 8, 2016 QUEEN`S UNIVERSITY AT KINGSTON
INFO SHEET March 8, 2016 QUEEN`S UNIVERSITY AT KINGSTON

... interpolating distributions (displacement interpolation) and for modeling flows. As such it has been the cornerstone of many recent developments in physics, probability theory, and image processing. The Schrödinger bridge problem (SBP) was posed by Erwin Schrödinger in 1931, in an attempt to provide ...
Chapter 3
Chapter 3

March 8th, 2016
March 8th, 2016

Introduction to Computational Quantum Chemistry: Theory
Introduction to Computational Quantum Chemistry: Theory

Luttinger Liquids
Luttinger Liquids

... θ̃ must be small and for the the sum to be dominated by the leading term(s) θ̃ must be a low momentum field These restrictions are important. One can of course find a field θ so that the expression for ρg is true for arbitrary particle positions, but this field would not satisfy the commutation rela ...
Quantum computing with nanoscale infrastructure
Quantum computing with nanoscale infrastructure

Slides
Slides

... The class of logically valid ∀∃p sentences in the language of metric space is decidable. Proof: Taking the negation we look for a decision procedure for the satisfiability of ∃∀p sentences. Let φ ≡ ∃x1 , . . . , xn . ∀ȳ /Qz̄. ψ. Thanks to previous theorem, φ is satisfiable iff exists an interpretat ...
The Einstein-Podolsky-Rosen Argument and the Bell Inequalities
The Einstein-Podolsky-Rosen Argument and the Bell Inequalities

The Meaning of Elements of Reality and Quantum Counterfactuals
The Meaning of Elements of Reality and Quantum Counterfactuals

... particles have opposite values,’’ in the example discussed above. Priorities ( 1) and ( 3) are not relevant because violations of physical laws are not considered. The counterfactual worlds are different from the actual world not because of ``miracles,’’ i.e., violations of physical laws, but becaus ...
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Topological quantum field theory

A topological quantum field theory (or topological field theory or TQFT) is a quantum field theory which computes topological invariants.Although TQFTs were invented by physicists, they are also of mathematical interest, being related to, among other things, knot theory and the theory of four-manifolds in algebraic topology, and to the theory of moduli spaces in algebraic geometry. Donaldson, Jones, Witten, and Kontsevich have all won Fields Medals for work related to topological field theory.In condensed matter physics, topological quantum field theories are the low energy effective theories of topologically ordered states, such as fractional quantum Hall states, string-net condensed states, and other strongly correlated quantum liquid states.
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