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Frenkel-Reshetikhin
Frenkel-Reshetikhin

... star-triangle relation for other types o f Lie algebras and various finite-dimensional representations [DJMO, DJKMO, JMO]. We conjecture that all these solutions come from the connection matrices of our q-difference equations. The star-triangle relation is only the very first fundamental aspect of i ...
Optical Physics of Quantum Wells
Optical Physics of Quantum Wells

... order equation, we need a second boundary condition, and it is not actually obvious what it should be. We might think that we would choose continuity of the wavefunction derivative across the boundary; we cannot do so because the masses are different on the two sides of the boundary in general, and ...
Toward a software architecture for quantum computing design tools
Toward a software architecture for quantum computing design tools

Why physics does not preclude free will
Why physics does not preclude free will

High-Fidelity Polarization Storage in a Gigahertz Bandwidth
High-Fidelity Polarization Storage in a Gigahertz Bandwidth

... two resulting process matrices, defined by F = tr the similarity of two different quantum processes which in our case is synonymous with the memory’s ability to preserve polarization encoded information. Hence, for an ideal Raman memory, the “on” process is identical to the “off” process, which shou ...
The Logic of Complementarity - Philsci
The Logic of Complementarity - Philsci

... or of the Danish philosopher H. Høffding. According to Kalckar, the very origins of such an idea came from physics itself and, to reinforce his claim, he recalls L. Rosenfeld’s words, which interest also us here: ”Bohr’s conception of complementarity in quantum mechanics is not the expression of a ’ ...
Majorana returns - MIT Center for Theoretical Physics
Majorana returns - MIT Center for Theoretical Physics

Topics in Modern Quantum Optics
Topics in Modern Quantum Optics

... As is well-known, coherent states appear in a very natural way when considering the classical limit or the infrared properties of quantum field theories like quantum electrodynamics (QED)[16]-[21] or in analysis of the infrared properties of quantum gravity [22, 23]. In the conventional and extremel ...
Highly efficient optical quantum memory with long coherence time in
Highly efficient optical quantum memory with long coherence time in

... the MOT. The photo of the atomic cloud was taken using a 30 s exposure. The probe and control fields are combined with angle θ at a beam splitter (BS). The polarizations of probe and control fields are set to be the same circular by a quarter-wave plate (QWP). The probe field is measured either by a ...
Quantum statistics: Is there an effective fermion repulsion or boson
Quantum statistics: Is there an effective fermion repulsion or boson

... concept has been with physics since the early days of quantum mechanics. Nevertheless, it is important to examine the usefulness of this heuristic interpretation of the mathematics. As Layzer has pointed out, no such interpretation can carry the whole weight of the rigorous mathematical formulation; ...
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Part III

A mean-field approach to attractive few
A mean-field approach to attractive few

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here

... Properties of Majorana Fermions  Non-abelian statistics  A system of 2N well separated Majoranas has a 2N degenerate ground state. Think of N independent of 1-D Kitaev chains  Exchanging or “braiding” connects two different ground states  What is nonabelian about them? “if one performs sequenti ...
Chapter 2 Foundations I: States and Ensembles
Chapter 2 Foundations I: States and Ensembles

... This completes the mathematical formulation of quantum mechanics. We immediately notice some curious features. One oddity is that the Schrödinger equation is linear, while we are accustomed to nonlinear dynamical equations in classical physics. This property seems to beg for an explanation. But far ...
Quantizing charged magnetic domain walls: Strings on a lattice
Quantizing charged magnetic domain walls: Strings on a lattice

... explained2 in terms of a simple commensuration effect, which is inactive in the absence of charged domain wall correlations. Moreover, the spin fluctuations in the metallic state8 closely match the static spin incommensurations in the ordered state.9 These observations force one to consider the poss ...
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Quantum vs. Classical Magnetization Plateaus of S=1/2 Frustrated

Optically polarized atoms_ch_2_old
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Renormalization and quantum field theory
Renormalization and quantum field theory

... defined when points coincide. If these products were defined then they would satisfy the Gaussian condition, which then says roughly that if the vertices are divided into two disjoint subsets a and b, then a Feynman diagram can be divided into a subdiagram with vertices a, a subdiagram with vertices ...
Humans and their Universes
Humans and their Universes

... is flexible - it can resemble a triangular, circular or square shape at various times; and its side and bottom may or may not be precisely 90 and 180 degrees from its top. Thus the electronic computations necessary in a time machine may not involve precise digital calculations but those of "fuzzy" n ...
Chapter 27 Quantum And Relativistic Physics
Chapter 27 Quantum And Relativistic Physics

... light energy is partially absorbed by the metal and partially transformed into the kinetic energy of the emitted electrons. The photoelectric effect is another example of quantitative experimental results as shown in Figure 27.2 that could not be explained by the models of classical physics. On the ...
God, Belief and Explanation
God, Belief and Explanation

... Faith extends out beyond reason, but there are many varieties of faith that fit with reason. We want to argue that our view of faith involves a system of cultural, historical and other textual knowledge that makes sense to us, but of course, we must recognise that other faiths are available. So we a ...
5. Chern-Simons Theories
5. Chern-Simons Theories

Quantum Mechanical Addition of Angular Momenta and Spin
Quantum Mechanical Addition of Angular Momenta and Spin

Handout 9  - Oxford Physics
Handout 9 - Oxford Physics

... will exhibit quantum oscillations in a magnetic field. Examples include7 • oscillations of the magnetisation (the de Haas–van Alphen effect); • oscillations of the magnetoresistance (the Shubnikov–de Haas effect); • oscillations of the sample length; • ocillations of the sample temperature; • oscill ...
On a measurement-free quantum lambda calculus with classical
On a measurement-free quantum lambda calculus with classical

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Canonical quantization

In physics, canonical quantization is a procedure for quantizing a classical theory, while attempting to preserve the formal structure, such as symmetries, of the classical theory, to the greatest extent possible.Historically, this was not quite Werner Heisenberg's route to obtaining quantum mechanics, but Paul Dirac introduced it in his 1926 doctoral thesis, the ""method of classical analogy"" for quantization, and detailed it in his classic text. The word canonical arises from the Hamiltonian approach to classical mechanics, in which a system's dynamics is generated via canonical Poisson brackets, a structure which is only partially preserved in canonical quantization.This method was further used in the context of quantum field theory by Paul Dirac, in his construction of quantum electrodynamics. In the field theory context, it is also called second quantization, in contrast to the semi-classical first quantization for single particles.
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