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We consider nonequilibrium time evolution in quantum spin chains after a global quench. Usually a nonequilibium quantum many-body system locally relaxes to a (generalised) Gibbs ensemble built from conserved operators with quasilocal…

Statistical Mechanics · Physics 2024-03-13 Maurizio Fagotti , Vanja Marić , Lenart Zadnik

Despite being ubiquitous, out-of-equilibrium quantum systems are much less understood than systems at equilibrium. Progress in the field has benefited from a symbiotic relationship between theoretical studies and new experiments on coherent…

Statistical Mechanics · Physics 2016-11-03 Marco Távora , E. J. Torres-Herrera , Lea F. Santos

A diagonal entropy, which depends only on the diagonal elements of the system's density matrix in the energy representation, has been recently introduced as the proper definition of thermodynamic entropy in out-of-equilibrium quantum…

Statistical Mechanics · Physics 2012-02-17 Lea F. Santos , Anatoli Polkovnikov , Marcos Rigol

Quantum simulators have recently enabled experimental observations of quantum many-body systems' internal thermalization. Often, the global energy and particle number are conserved, and the system is prepared with a well-defined particle…

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

This work investigates the relationship between quantum chaos and thermalization in a three-species Bose-Josephson Junction (BJJ) with mutual interactions, without coupling to any external environment. The analysis is grounded in the…

Statistical Mechanics · Physics 2026-04-21 Francesco Di Menna , Sergio Ciuchi , Simone Paganelli

We investigate the onset of quantum thermalization in a system governed by the Jahn-Teller Hamiltonian which describes the interaction between a single spin and two bosonic modes. We find that the Jahn-Teller model exhibits a finite-size…

Quantum Physics · Physics 2024-05-10 Yoana R. Chorbadzhiyska , Peter A. Ivanov

We use quantum quenches to study the dynamics and thermalization of hardcore bosons in finite one-dimensional lattices. We perform exact diagonalizations and find that, far away from integrability, few-body observables thermalize. We then…

Statistical Mechanics · Physics 2009-09-02 Marcos Rigol

Quantum many-body scars (QMBS) are exceptional energy eigenstates of quantum many-body systems associated with violations of thermalization for special non-equilibrium initial states. Their various systematic constructions require…

Strongly Correlated Electrons · Physics 2025-02-20 Alessio Lerose , Tommaso Parolini , Rosario Fazio , Dmitry A. Abanin , Silvia Pappalardi

Thermal states are the bedrock of statistical physics. Nevertheless, when and how they actually arise in closed quantum systems is not fully understood. We consider this question for systems with local Hamiltonians on finite quantum…

Quantum Physics · Physics 2017-06-22 Terry Farrelly , Fernando G. S. L. Brandao , Marcus Cramer

It is known that the long-range quantum entanglement exhibited in free fermion systems is sufficient to "thermalize" a small subsystem in that the subsystem reduced density matrix computed from a typical excited eigenstate of the combined…

Statistical Mechanics · Physics 2025-02-18 G. C. Levine , B. A. Friedman

There are both practical and foundational motivations to consider the thermodynamics of quantum systems at small scales. Here we address the issue of autonomous quantum thermal machines that are tailored to achieve some specific…

Quantum Physics · Physics 2016-03-08 Max F. Frenzel , David Jennings , Terry Rudolph

Studying noncommuting conserved quantities, or 'charges,' has revealed a conceptual puzzle: noncommuting charges hinder thermalization in some ways yet promote it in others. While many quantum systems thermalize according to the Eigenstate…

Quantum Physics · Physics 2024-10-18 Shayan Majidy

We consider quantum quenches in an integrable quantum chain with tuneable-integrability-breaking interactions. In the case where these interactions are weak, we demonstrate that at intermediate times after the quench local observables relax…

Statistical Mechanics · Physics 2014-04-23 F. H. L. Essler , S. Kehrein , S. R. Manmana , N. J. Robinson

The usual paradigm of open quantum systems falls short when the environment is actually coupled to additional fields or components that drive it out of equilibrium. Here we explore the simplest such scenario, by considering a two level…

Quantum Physics · Physics 2020-09-08 Andreu Anglés-Castillo , Mari Carmen Bañuls , Armando Pérez , Inés De Vega

A profound quest of statistical mechanics is the origin of irreversibility - the arrow of time. New stimulants have been provided, thanks to unprecedented degree of control reached in experiments with isolated quantum systems and rapid…

Quantum Physics · Physics 2016-06-28 Chushun Tian , Kun Yang , Jiao Wang

What happens in an isolated quantum system when both disorder and interactions are present? Over the recent years, the picture of a non-thermalizing phase of matter, the many-localized phase, has emerged as a stable solution. We present a…

Strongly Correlated Electrons · Physics 2018-05-22 Fabien Alet , Nicolas Laflorencie

The dynamics of quantum entanglement plays a central role in explaining the emergence of thermal equilibrium in isolated many-body systems. However, entanglement is notoriously hard to measure. Recent works have introduced a notion of…

Quantum Physics · Physics 2025-03-20 Xiaozhou Feng , Matteo Ippoliti

We consider a quantum many-body system on a lattice with a continuous symmetry which exhibits a spontaneous symmetry breaking in its infinite volume ground states, but in which the order operator does not commute with the Hamiltonian. A…

Statistical Mechanics · Physics 2009-10-30 Tohru Koma , Hal Tasaki

We extend the results of two of our papers [Phys. Rev. A 94, 041603R (2016) and Phys. Rev. B 97, 060303R (2018)] that touch upon the intimately connected topics of quantum chaos and thermalization. In the first, we argued that when the…

Statistical Mechanics · Physics 2019-03-27 E. Jonathan Torres-Herrera , Lea F. Santos
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