The Group-Algebraic Formalism of Quantum Probability and Its Applications in Quantum Statistical Mechanics [PDF]
EntropyWe 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 ...
Yan Gu, Jiao Wang
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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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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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Contextuality in Classical Physics and Its Impact on the Foundations of Quantum Mechanics
Entropy, 2021 It is shown that the hallmark quantum phenomenon of contextuality is present in classical statistical mechanics (CSM). It is first shown that the occurrence of contextuality is equivalent to there being observables that can differentiate between pure and
Fritiof Wallentin
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Relaxation of Multitime Statistics in Quantum Systems [PDF]
Quantum, 2023 Equilibrium statistical mechanics provides powerful tools to understand physics at the macroscale. Yet, the question remains how this can be justified based on a microscopic quantum description. Here, we extend the ideas of pure state quantum statistical
Neil Dowling +4 more
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A new statistical thermodynamic mechanism for quantum mechanics
Frontiers in Physics, 2022 A new quantum mechanics mechanism theory based on statistical mechanics is introduced. This theory is based on corresponding changes in the number of states with associated energy changes at the observer and observed occurring at observer 1) reset and 2)
Martin Alpert
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