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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 +10 more
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, 2001 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 ...
Aldrovandi +36 more
core +7 more sources
Statistical Geometry in Quantum Mechanics [PDF]
Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, 1997 A statistical model M is a family of probability distributions, characterised by a set of continuous parameters known as the parameter space.
Bhattacharyya A. +7 more
core +5 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
The statistical origins of quantum mechanics [PDF]
Physics Research International, 2010 It is shown that Schroedinger'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 ...
Klein, U.
core +5 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
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 +2 more
doaj +2 more sources