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On Quantum Statistical Mechanics: A Study Guide [PDF]
Advances in Mathematical Physics, 2017 We provide an introduction to a study of applications of noncommutative calculus to quantum statistical physics. Centered on noncommutative calculus, we describe the physical concepts and mathematical structures appearing in the analysis of large quantum
Wladyslaw Adam Majewski
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The Group-Algebraic Formalism of Quantum Probability and Its Applications in Quantum Statistical Mechanics. [PDF]
Entropy (Basel)We show that the theory of quantum statistical mechanics is a special model in the framework of the quantum probability theory developed by mathematicians, by extending the characteristic function in the classical probability theory to the quantum ...
Gu Y, Wang J.
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Nature Communications, 2017 Where does quantum mechanics part ways with classical statistical mechanics? Here the authors derive both within a common framework; the former differs from the latter by an ontic nonseparable random variable and a restriction on the allowed phase space ...
Daniel Rohrlich
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Disorder-induced quantum-to-classical transition, or how the world becomes classical [PDF]
EPJ Web of Conferences, 2022 Decoherence theory explains how quantum mechanics gives rise to classical mechanics through the entanglement of a quantum system’s evolution with the degrees of freedom of the environment.
Bringuier Eric
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Some speculations about local thermalization of nonequilibrium extended quantum systems
Condensed Matter Physics, 2023 We discuss the possibility of defining an emergent local temperature in extended quantum many-body systems evolving out of equilibrium. For the most simple case of free-fermionic systems, we give an explicit formula for the effective temperature in the ...
M. Coppola, D. Karevski
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Exceptional dynamical quantum phase transitions in periodically driven systems
Nature Communications, 2021 Understanding phase transitions in systems out of equilibrium is a topic of high interest. Here the author discusses the spontaneous antiunitary symmetry breaking leading to exceptional dynamical quantum phase transitions in driven many-body systems.
Ryusuke Hamazaki
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Statistical mechanics for non-Hermitian quantum systems
Physical Review Research, 2023 We present a systematic study of statistical mechanics for non-Hermitian quantum systems. Our work reveals that the stability of a non-Hermitian system necessitates the existence of a single path-dependent conserved quantity, which, in conjunction with ...
Kui Cao, Su-Peng Kou
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Statistical geometry in quantum mechanics [PDF]
Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, 1998 32 pages, LaTex file, Extended version to include quantum measurement ...
Brody, Dorje C., Hughston, Lane P.
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Gas of Particles Obeying the Monotone Statistics
Entropy, 2023 The present note is devoted to the detailed investigation of a concrete model satisfying the block-monotone statistics introduced in a previous paper (joint, with collaborators) of the author.
Francesco Fidaleo
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Hybrid classical-quantum computing: Applications to statistical mechanics of financial markets [PDF]
E3S Web of Conferences, 2021 Hybrid Classical-Quantum computing is now offered by several commercial quantum computers. In this project, a model of financial options, Statistical Mechanics of Financial Markets (SMFM), uses this approach. However, only Classical (super-)computers are
Ingber Lester
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