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On Quantum Statistical Mechanics: A Study Guide [PDF]

open access: yesAdvances 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
doaj   +5 more sources

Emergence of quantum mechanics from a sub-quantum statistical mechanics [PDF]

open access: yesInternational Journal of Modern Physics B, 2013
A research program within the scope of theories on "Emergent Quantum Mechanics" is presented, which has gained some momentum in recent years. Via the modeling of a quantum system as a non-equilibrium steady-state maintained by a permanent throughput of ...
Gerhard Groessing
semanticscholar   +6 more sources

Quantum Chaos and Statistical Mechanics [PDF]

open access: yesAnnals 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.Comment: talk given at the Conference on Fundamental ...
Berry, Berry, Berry, Sinai, Srednicki
core   +4 more sources

Quantum Statistical Mechanics on a Quantum Computer [PDF]

open access: bronzeProgress 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

Topological Quantum Statistical Mechanics and Topological Quantum Field Theories [PDF]

open access: yesSymmetry, 2022
The Ising model describes a many-body interacting spin (or particle) system, which can be utilized to imitate the fundamental forces of nature. Although it is the simplest many-body interacting system of spins (or particles) with Z2 symmetry, the ...
Zhidong Zhang
semanticscholar   +1 more source

Disorder-induced quantum-to-classical transition, or how the world becomes classical [PDF]

open access: yesEPJ 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
doaj   +1 more source

Zeno dynamics in quantum statistical mechanics [PDF]

open access: greenJournal 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
openalex   +11 more sources

Statistical mechanics model for Clifford random tensor networks and monitored quantum circuits [PDF]

open access: yesPhysical review B, 2021
We introduce an exact mapping of Clifford (stabilizer) random tensor networks (RTNs) and monitored quantum circuits, onto a statistical mechanics model.
Yaodong Li   +3 more
semanticscholar   +1 more source

Developments in the Tensor Network — from Statistical Mechanics to Quantum Entanglement [PDF]

open access: yesJournal of the Physical Society of Japan, 2021
Tensor networks (TNs) have become one of the most essential building blocks for various fields of theoretical physics such as condensed matter theory, statistical mechanics, quantum information, and quantum gravity.
K. Okunishi, T. Nishino, H. Ueda
semanticscholar   +1 more source

Some speculations about local thermalization of nonequilibrium extended quantum systems

open access: yesCondensed 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
doaj   +1 more source

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