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Related papers: Integrability vs Quantum Thermalization

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It has previously been suggested that small subsystems of closed quantum systems thermalize under some assumptions; however, this has been rigorously shown so far only for systems with very weak interaction between subsystems. In this work,…

Quantum Physics · Physics 2021-03-31 Markus P. Mueller , Emily Adlam , Lluis Masanes , Nathan Wiebe

Studies of integrable quantum many-body systems have a long history with an impressive record of success. However, surprisingly enough, an unambiguous definition of quantum integrability remains a matter of an ongoing debate. We contribute…

Quantum Physics · Physics 2020-02-18 Oleg Lychkovskiy

An autonomous quantum thermal machine comprising a trapped atom or ion placed inside an optical cavity is proposed and analysed. Such a machine can operate as a heat engine whose working medium is the quantised atomic motion, or as an…

Quantum Physics · Physics 2016-08-22 Mark T. Mitchison , Marcus Huber , Javier Prior , Mischa P. Woods , Martin B. Plenio

We consider conditions under which an isolated quantum system approaches a microcanonical equilibrium state. A key component is the eigenstate thermalisation hypothesis, which proposes that all energy eigenstates appear thermal. We…

Quantum Physics · Physics 2021-09-01 Joe Dunlop , Oliver Cohen , Anthony J. Short

In this article we review the basic concepts regarding quantum integrability. Special emphasis is given on the algebraic content of integrable models. The associated algebras are essentially described by the Yang-Baxter and boundary…

Mathematical Physics · Physics 2010-09-29 Anastasia Doikou , Stefano Evangelisti , Giovanni Feverati , Nikos Karaiskos

We investigate the equilibration and thermalization properties of quantum systems interacting with a finite dimensional environment. By exploiting the concept of time averaged states, we introduce a completely positive map which allows to…

Quantum Physics · Physics 2012-11-27 A. Smirne , E. -M. Laine , H. -P. Breuer , J. Piilo , B. Vacchini

We have developed a theoretical formalism to introduce temperature as a parameter into the framework of non-relativistic quantum mechanics using the laws of classical thermodynamics and the canonical ensemble scheme of statistical…

Quantum Physics · Physics 2021-03-08 Ashkan Shekaari , Mahmoud Jafari

Understanding thermodynamics far from equilibrium at the quantum scale remains a fundamental challenge, particularly in the presence of quantum coherence. Here we develop a first-principles framework for nonequilibrium quantum…

Quantum Physics · Physics 2026-02-11 Md Manirul Ali , Po-Wen Chen

Classical thermodynamics is built with the concept of equilibrium states. However, it is less clear how equilibrium thermodynamics emerges through the dynamics that follows the principle of quantum mechanics. In this paper, we develop a…

Quantum Physics · Physics 2018-12-18 Md. Manirul Ali , Wei-Ming Huang , Wei-Min Zhang

We derive a necessary and sufficient condition for the thermalization of a local observable in a closed quantum system which offers an alternative explanation, independent of the eigenstate thermalization hypothesis, for the thermalization…

Statistical Mechanics · Physics 2014-04-11 J. Sirker , N. P. Konstantinidis , F. Andraschko , N. Sedlmayr

We take the perspective of open quantum systems and examine from their nonequilibrium dynamics the conditions when the physical quantities, their relations and the laws of thermodynamics become well defined and viable for quantum many body…

Quantum Physics · Physics 2018-01-30 Jen-Tsung Hsiang , C. H. Chou , Y. Subaşi , B. L. Hu

Quantum correlations and nonclassical states are at the heart of emerging quantum technologies. Efforts to produce long-lived states of such quantum resources are a subject of tireless pursuit. Among several platforms useful for quantum…

Quantum Physics · Physics 2023-09-06 He-Guang Xu , V. Montenegro , Gao Xianlong , Jiasen Jin , G. D. de Moraes Neto

We show, without relying on any unproven assumptions, that a low-density free fermion chain exhibits thermalization in the following (restricted) sense. We choose the initial state as a pure state drawn randomly from the Hilbert space in…

Statistical Mechanics · Physics 2026-04-13 Naoto Shiraishi , Hal Tasaki

The problem of mutual equilibration between two finite, identical quantum systems, A and B, prepared initially at different temperatures is elucidated. We show that the process of energy exchange between the two systems leads to accurate…

Statistical Mechanics · Physics 2012-06-07 A. V. Ponomarev , S. Denisov , J. Gemmer , P. Hänggi

We generally study whether or not the information of an open quantum system could be totally erased by its surrounding environment in the long time. For a harmonic oscillator coupled to a bath of a spectral density with zero-value regions,…

Quantum Physics · Physics 2015-06-17 C. Y. Cai , Li-Ping Yang , C. P. Sun

Thermalization of isolated many-body systems is demonstrated by generalizing an approach originally due to von Neumann: For arbitrary initial states with a macroscopically well-defined energy, quantum mechanical expectation values become…

Statistical Mechanics · Physics 2015-07-02 Peter Reimann

Deriving conditions under which a macroscopic system thermalizes directly from the underlying quantum many-body dynamics of its microscopic constituents is a long-standing challenge in theoretical physics. The well-known eigenstate…

Statistical Mechanics · Physics 2022-02-02 Lennart Dabelow , Patrick Vorndamme , Peter Reimann

One explanation of the thermalization of an isolated quantum system is the eigenstate thermalization hypothesis, which posits that all energy eigenstates are thermal. Based on this idea, we use dynamical typicality to predict the thermal…

Isolated quantum system in a pure state may be perceived as thermal if only substantially small fraction of all degrees of freedom is probed. We propose that in a chaotic quantum many-body system all states with sufficiently small energy…

Statistical Mechanics · Physics 2019-01-09 Anatoly Dymarsky , Hong Liu

A minimal model of a quantum refrigerator (QR), i.e. a periodically phase-flipped two-level system permanently coupled to a finite-capacity bath (cold bath) and an infinite heat dump (hot bath), is introduced and used to investigate the…

Quantum Physics · Physics 2012-10-16 Michal Kolář , David Gelbwaser-Klimovsky , Robert Alicki , Gershon Kurizki