Reworking Zubarev’s Approach to Nonequilibrium Quantum Statistical Mechanics
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
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Quantum mechanics as classical statistical mechanics with an ontic extension and an epistemic restriction [PDF]
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
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The Born Rule—100 Years Ago and Today [PDF]
The details of the contents and formulations of the Born rule have changed considerably from its inception by Born in 1926 to the present day. This paper traces the early history of the Born rule 100 years ago, its generalization (essential for today’s ...
Arnold Neumaier
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On Quantum Statistical Mechanics: A Study Guide [PDF]
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]
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
The Group-Algebraic Formalism of Quantum Probability and Its Applications in Quantum Statistical Mechanics [PDF]
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
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Entropic Functionals in Quantum Statistical Mechanics [PDF]
We describe quantum entropic functionals and outline a research program dealing with entropic fluctuations in non-equilibrium quantum statistical mechanics.
V. Jaksic, C. Pillet
semanticscholar +6 more sources
Non-extensive statistical mechanics and black hole entropy from quantum geometry [PDF]
Using non-extensive statistical mechanics, the BekensteinâHawking area law is obtained from microstates of black holes in loop quantum gravity, for arbitrary real positive values of the BarberoâImmirzi parameter (γ).
Abhishek Majhi
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The Quantum Relative Entropy of the Schwarzschild Black Hole and the Area Law [PDF]
The area law obeyed by the thermodynamic entropy of black holes is one of the fundamental results relating gravity to statistical mechanics. In this work, we provide a derivation of the area law for the quantum relative entropy of the Schwarzschild black
Ginestra Bianconi
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Quantum Statistical Mechanics on a Quantum Computer [PDF]
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

