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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, 2003 15 pages, AMSLaTeX; typos corrected, references updated and added, acknowledgements added, style polished; revised version contains corrections from published ...
Andreas Schmidt
core +16 more sources
ENTROPIC FUNCTIONALS IN QUANTUM STATISTICAL MECHANICS [PDF]
, 2013 To appear in the Proceedings of the XVIIth International Congress of Mathematical Physics, Aalborg, Denmark ...
Vojkan Jakšić, Claude‐Alain Pillet
semanticscholar +9 more sources
Statistical origin of quantum mechanics [PDF]
Physica A: Statistical Mechanics and its Applications, 2002 The one particle quantum mechanics is considered in the frame of a N-body classical kinetics in the phase space. Within this framework, the scenario of a subquantum structure for the quantum particle, emerges naturally, providing an ontological support to the orthodox quantum mechanics.
Aldrovandi +36 more
openaire +7 more sources
Quantum Statistical Mechanics on a Quantum Computer [PDF]
Progress of Theoretical Physics Supplement, 2000 We describe a quantum algorithm to compute the density of states and thermal equilibrium properties of quantum many-body systems. We present results obtained by running this algorithm on a software implementation of a 21-qubit quantum computer for the case of an antiferromagnetic Heisenberg model on triangular lattices of different size.
Hans De Raedt +4 more
openalex +4 more sources
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 ...
Lane P. Hughston, Dorje C. Brody
openaire +6 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 +18 more
arxiv +3 more sources
The Statistical Origins of Quantum Mechanics [PDF]
Physics Research International, 2010 It is shown that Schrödinger's equation may be derived from three postulates. The first is a kind of statistical metamorphosis of classical mechanics, a set of two relations which are obtained from the canonical equations of particle mechanics by replacing all observables by statistical averages.
Klein, U.
openaire +6 more sources
Introduction to Quantum Statistical Mechanics [PDF]
Lectures on Quantum Mechanics, 2006 This set of lectures is intended to provide a flavor of the physical ideas underlying some of the concepts of Quantum Statistical Mechanics that will be studied in this school devoted to Open Qantum Systems. Although it is quite possible to start with the mathematical definitions of notions such as ”bosons”, ”states”, ”Gibbs prescription” or ”entropy ...
A. Joye
openaire +5 more sources