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Many body localization and thermalization in quantum statistical mechanics [PDF]

Annual Review of Condensed Matter Physics, Vol. 6: 15-38 (2015), 2014
We review some recent developments in the statistical mechanics of isolated quantum systems. We provide a brief introduction to quantum thermalization, paying particular attention to the `Eigenstate Thermalization Hypothesis' (ETH), and the resulting `single-eigenstate statistical mechanics'.
Huse, David A., Nandkishore, Rahul
arxiv   +5 more sources

Quantum Chaos and Statistical Mechanics [PDF]

Annals of the New York Academy of Sciences, 1994
We briefly review the well known connection between classical chaos and classical statistical mechanics, and the recently discovered connection between quantum chaos and quantum statistical mechanics.
Berry, Berry, Berry, Sinai, Srednicki
arxiv   +7 more sources

Zeno Dynamics in Quantum Statistical Mechanics [PDF]

Journal of Physics A: Mathematical and General, 2002
We study the quantum Zeno effect in quantum statistical mechanics within the operator algebraic framework. We formulate a condition for the appearance of the effect in W*-dynamical systems, in terms of the short-time behaviour of the dynamics.
Andreas U Schmidt, Bratteli O, Facchi P, Facchi P, Facchi P, Fannes M, Misra B, Nakazato H, Raggio G A, Robinson D W, Schmidt A U   +10 more
core   +16 more sources

Fractional Quantum Mechanics [PDF]

Physical Review E62 (Sept 2000) 3135-3145, 2008
A path integral approach to quantum physics has been developed. Fractional path integrals over the paths of the L\'evy flights are defined. It is shown that if the fractality of the Brownian trajectories leads to standard quantum and statistical mechanics, then the fractality of the L\'evy paths leads to fractional quantum mechanics and fractional ...
A. I. Saichev, B. B. Mandelbrot, B. J. West, B. J. West, C. Fox, C. W. Gardiner, G. M. Zaslavsky, G. Zimbardo, H. Kleinert, J. Feder, J. Klafter, K. B. Oldham, N. Laskin, N. Wiener, Nick Laskin, R. N. Mantega, R. P. Feynman, R. P. Feynman, V. Heisenberg   +18 more
arxiv   +3 more sources

Reworking Zubarev’s Approach to Nonequilibrium Quantum Statistical Mechanics

Particles, 2019
In this work, the nonequilibrium density operator approach introduced by Zubarev more than 50 years ago to describe quantum systems at a local thermodynamic equilibrium is revisited.
Francesco Becattini, Matteo Buzzegoli, Eduardo Grossi   +2 more
doaj   +2 more sources

Generalization of Classical Statistical Mechanics to Quantum Mechanics and Stable Property of Condensed Matter [PDF]

, 2005
Classical statistical average values are generally generalized to average values of quantum mechanics, it is discovered that quantum mechanics is direct generalization of classical statistical mechanics, and we generally deduce both a new general ...
Anandan J., Anastopoulos C., Ballentine L. E., Curtright T., Eisenberg E., F. C. MA, Halliwell J. J., Harrison W. A., Holstein B. R., Isidro J. M., Jorgensen P. E. T., Liu Q. H., Marnelius R., N. ZHANG, Oh P., Prezhdo O. V., Schiff L. I., Tsiper E. V., Y. C. HUANG   +18 more
core   +2 more sources

Quantum mechanics as classical statistical mechanics with an ontic extension and an epistemic restriction [PDF]

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 ...
Agung Budiyono, Daniel Rohrlich
doaj   +2 more sources

Spin Glass: A Bridge between quantum computation and statistical mechanics [PDF]

, 2012
We show two fascinating topics lying between quantum information processing and statistical mechanics. First, we introduce an elaborated technique, the surface code, to prepare the particular quantum state with robustness against decoherence. Second, we show another interesting technique to employ quantum nature, quantum annealing.
Masayuki Ohzeki
arxiv   +3 more sources

The Group-Algebraic Formalism of Quantum Probability and Its Applications in Quantum Statistical Mechanics [PDF]

Entropy
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 ...
Yan Gu, Jiao Wang
doaj   +2 more sources

Quantum mechanics as an approximation of statistical mechanics for classical fields

, 2005
We show that, in spite of a rather common opinion, quantum mechanics can be represented as an approximation of classical statistical mechanics. The approximation under consideration is based on the ordinary Taylor expansion of physical variables.
Khrennikov, Andrei
core   +6 more sources