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In this review, we discuss the decoherence and thermalization of a quantum spin system interacting with a spin bath environment, by numerically solving the time-dependent Schr\"{o}dinger equation of the whole system. The effects of the…

Quantum Physics · Physics 2010-05-27 Shengjun Yuan

Thermalization of classical fields is investigated in a \phi^4 scalar field theory in 1+1 dimensions, discretized on a lattice. We numerically integrate the classical equations of motion using initial conditions sampled from various…

High Energy Physics - Phenomenology · Physics 2009-10-31 Gert Aarts , Gian Franco Bonini , Christof Wetterich

One of the fundamental problems of quantum statistical physics is how an ideally isolated quantum system can ever reach thermal equilibrium behavior despite the unitary time evolution of quantum-mechanical systems. Here, we study, via…

Quantum Physics · Physics 2025-06-24 Marvin Lenk , Sayak Biswas , Anna Posazhennikova , Johann Kroha

Based on the view that thermal equilibrium should be characterized through macroscopic observations, we develop a general theory about typicality of thermal equilibrium and the approach to thermal equilibrium in macroscopic quantum systems.…

Statistical Mechanics · Physics 2018-08-02 Hal Tasaki

Quantum thermalization describes how closed quantum systems can effectively reach thermal equilibrium, resolving the apparent incongruity between the reversibility of Schr\"odinger's equation and the second law of thermodynamics. Despite…

Quantum Physics · Physics 2026-01-08 Saúl Pilatowsky-Cameo , Soonwon Choi

An exact stochastic model for the thermalisation of quantum states is proposed. The model has various physically appealing properties. The dynamics are characterised by an underlying Schrodinger evolution, together with a nonlinear term…

Quantum Physics · Physics 2009-10-30 D. C. Brody , L. P. Hughston

Quantum thermalization in a many-body system is defined by the approach of local subsystems towards a universal form, describable as an ensemble of quantum states wherein observables acquire thermal expectation values. Recently, it was…

Quantum Physics · Physics 2023-09-19 Matteo Ippoliti , Wen Wei Ho

Equilibrium properties of many-body systems with a large number of degrees of freedom are generally expected to be described by statistical mechanics. Such expectations are closely tied to the observation of thermalization, as manifested…

Quantum Gases · Physics 2025-08-08 Yulong Qiao , Frank Großmann , Peter Schlagheck , Gabriel M. Lando

Using the ergodicity principle for the expectation values of several types of observables, we investigate the thermalization process in isolated fermionic systems. These are described by the two-body random ensemble, which is a paradigmatic…

Statistical Mechanics · Physics 2015-05-27 V. K. B. Kota , A. Relaño , J. Retamosa , Manan Vyas

We consider a discrete quantum system coupled to a finite bath, which may consist of only one particle, in contrast to the standard baths which usually consist of continua of oscillators, spins, etc. We find that such finite baths may…

Quantum Physics · Physics 2007-05-23 Jochen Gemmer , Mathias Michel

Thermalization of isolated quantum systems has been studied intensively in recent years and significant progresses have been achieved. Here, we study thermalization of small quantum systems that interact with large chaotic environments…

Statistical Mechanics · Physics 2019-06-05 Jiaozi Wang , Wen-ge Wang , Jiao Wang

There exist zero-temperature states in quantum many-body systems that are fully factorized, thereby possessing vanishing entanglement, and hence being of no use as resource in quantum information processing tasks. Such states can become…

Quantum Physics · Physics 2018-06-11 Titas Chanda , Tamoghna Das , Debasis Sadhukhan , Amit Kumar Pal , Aditi Sen De , Ujjwal Sen

When a non-integrable system evolves out of equilibrium for a long time, local observables are expected to attain stationary expectation values, independent of the details of the initial state. However, intriguing experimental results with…

Quantum Physics · Physics 2011-05-17 Mari Carmen Bañuls , J. Ignacio Cirac , Matthew B. Hastings

A large class of isolated quantum system in a pure state can equilibrate and serve as a heat bath. We show that once the equilibrium is reached, any of its subsystems that is much smaller than the isolated system is thermalized such that…

Statistical Mechanics · Physics 2014-06-13 Quntao Zhuang , Biao Wu

We study measures of decoherence and thermalization of a quantum system $S$ in the presence of a quantum environment (bath) $E$. The entirety $S$$+$$E$ is prepared in a canonical thermal state at a finite temperature, that is the entirety…

Quantum Physics · Physics 2016-03-23 M. A. Novotny , F. Jin , S. Yuan , S. Miyashita , H. De Raedt , K. Michielsen

We consider blocks of quantum spins in a chain at thermal equilibrium, focusing on their properties from a thermodynamical perspective. Whereas in classical systems the temperature behaves as an intensive magnitude, a deviation from this…

Quantum Physics · Physics 2015-05-13 A. Garcia-Saez , A. Ferraro , A. Acin

We present quantitative predictions for quantum simulator experiments on Ising models from trapped ions to Rydberg chains and show how the thermalization, and thus decoherence times, can be controlled by considering common, independent, and…

Quantum Gases · Physics 2019-07-30 Daniel Jaschke , Lincoln D. Carr , Ines de Vega

We study thermalization in many-body quantum systems locally coupled to an external bath. It is shown that quantum chaotic systems do thermalize, that is, they exhibit relaxation to an invariant ergodic state which, in the bulk, is well…

Quantum Physics · Physics 2010-05-31 Marko Znidaric , Tomaz Prosen , Giuliano Benenti , Giulio Casati , Davide Rossini

The approach to thermal equilibrium, or thermalization, in isolated quantum systems is among the most fundamental problems in statistical physics. Recent theoretical studies have revealed that thermalization in isolated quantum systems has…

Statistical Mechanics · Physics 2018-05-23 Takashi Mori , Tatsuhiko N. Ikeda , Eriko Kaminishi , Masahito Ueda

Simulating non-equilibrium phenomena in strongly-interacting quantum many-body systems, including thermalization, is a promising application of near-term and future quantum computation. By performing experiments on a digital quantum…

Quantum Physics · Physics 2025-09-19 Niklas Mueller , Tianyi Wang , Or Katz , Zohreh Davoudi , Marko Cetina