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We study work extraction (defined as the difference between the initial and the final energy) in noninteracting and (effectively) weakly interacting isolated fermionic quantum lattice systems in one dimension, which undergo a sequence of…

Statistical Mechanics · Physics 2017-07-05 Ranjan Modak , Marcos Rigol

We prove the approach to equilibrium of quenched isolated quantum systems for which the change in the Hamiltonian brought about by the quench satisfies a certain closed commutator algebra with all the extensive integrals of motion of the…

Statistical Mechanics · Physics 2016-12-01 E. Solano-Carrillo

We analyze the entanglement properties of the asymptotic steady state after a quench from free to hard-core bosons in one dimension. The R\'enyi and von Neumann entanglement entropies are found to be extensive, and the latter coincides with…

Quantum Gases · Physics 2014-01-22 Mario Collura , Márton Kormos , Pasquale Calabrese

We consider the generic problem of suddenly changing the geometry of an integrable, one-dimensional many-body quantum system. We show how the physics of an initial quantum state released into a bigger system can be completely described…

Strongly Correlated Electrons · Physics 2010-10-05 Jorn Mossel , Guillaume Palacios , Jean-Sébastien Caux

We consider quantum quenches to the sinh-Gordon integrable quantum field theory from a particular class of initial states. Our analysis includes the case of mass and interaction quenches starting from a non-interacting theory. By means of…

Statistical Mechanics · Physics 2016-06-06 Bruno Bertini , Lorenzo Piroli , Pasquale Calabrese

We consider the stationary state properties of the reduced density matrix as well as spin-spin correlation functions after a sudden quantum quench of the magnetic field in the transverse field Ising chain. We demonstrate that stationary…

Statistical Mechanics · Physics 2013-02-28 Pasquale Calabrese , Fabian H. L. Essler , Maurizio Fagotti

Integrable systems offer rare examples of solvable many-body problems in the quantum world. Due to the fine-tuned structure, their realization in nature and experiment is never completely accurate, therefore effects of integrability are…

Statistical Mechanics · Physics 2024-07-24 Iris Ulčakar , Zala Lenarčič

We investigate the out-of-equilibrium dynamics of the one-dimensional quantum Ising model after a sudden quench of the transverse magnetic field. While for a translationally invariant system the statistical description of the asymptotic…

Statistical Mechanics · Physics 2015-03-19 Tommaso Caneva , Elena Canovi , Davide Rossini , Giuseppe E. Santoro , Alessandro Silva

Relaxed quantum systems with conservation laws are believed to be approximated by the Generalized Gibbs Ensemble (GGE), which incorporates the constraints of certain conserved quantities serving as integrals of motion. By drawing an analogy…

Statistical Mechanics · Physics 2025-12-09 Hao Chen , Biao Lian

The Generalized Gibbs Ensemble (GGE) is relevant to understand the thermalization of quantum systems with an infinite set of conserved charges. In this work, we analyze the GGE partition function of 2D Conformal Field Theories (CFTs) with a…

High Energy Physics - Theory · Physics 2021-06-02 Fábio Novaes

We consider the time evolution of observables in the transverse field Ising chain (TFIC) after a sudden quench of the magnetic field. We provide exact analytical results for the asymptotic time and distance dependence of one- and two-point…

Strongly Correlated Electrons · Physics 2011-06-03 Pasquale Calabrese , Fabian H. L. Essler , Maurizio Fagotti

A quantum many-body system which is prepared in the ground state of an integrable Hamiltonian does not directly thermalize after a sudden small parameter quench away from integrability. Rather, it will be trapped in a prethermalized state…

Strongly Correlated Electrons · Physics 2011-08-15 Marcus Kollar , F. Alexander Wolf , Martin Eckstein

The (Loschmidt) overlap between the state at different times after a quantum quench is attracting increasing interest, as it was recently shown that in the thermodynamic limit its logarithm per unit of length has a non-analytic behavior if…

Statistical Mechanics · Physics 2013-09-09 Maurizio Fagotti

We investigate the crossover of the entanglement entropy towards its thermal value in nearly integrable systems. We employ equation of motion techniques to study the entanglement dynamics in a lattice model of weakly interacting spinless…

Statistical Mechanics · Physics 2020-09-10 Bruno Bertini , Pasquale Calabrese

We consider quantum quenches in integrable models. We argue that the behaviour of local observables at late times after the quench is given by their expectation values with respect to a single representative Hamiltonian eigenstate. This can…

Statistical Mechanics · Physics 2013-07-29 Jean-Sebastien Caux , Fabian H. L. Essler

We investigate the modular properties of Generalised Gibbs Ensembles (GGEs) in two dimensional conformal field theories. These are obtained by inserting higher spin charges in the expressions for the partition function of the theory. We…

High Energy Physics - Theory · Physics 2025-03-12 Max Downing , Faisal Karimi

We consider quantum quenches from an ideal Bose condensate to the Lieb-Liniger model with arbitrary attractive interaction strength. We focus on the properties of the non-equilibrium steady state reached at late times after the quench.…

Quantum Gases · Physics 2016-02-23 Lorenzo Piroli , Pasquale Calabrese , Fabian H. L. Essler

We demonstrate the role of interactions in driving the relaxation of an isolated integrable quantum system following a sudden quench. We consider a family of integrable hard-core lattice anyon models that continuously interpolates between…

Quantum Gases · Physics 2014-07-31 Tod M. Wright , Marcos Rigol , Matthew J. Davis , Karen V. Kheruntsyan

Generalized thermalization is a process that occurs in integrable systems in which unitary dynamics, e.g., following a quantum quench, results in states in which observables after equilibration are described by generalized Gibbs ensembles…

Quantum Gases · Physics 2021-09-22 Yicheng Zhang , Lev Vidmar , Marcos Rigol

The Eigenstate Thermalization Hypothesis implies that for a thermodynamically large system in one of its eigenstates, the reduced density matrix describing any finite subsystem is determined solely by a set of {\it relevant} conserved…

Statistical Mechanics · Physics 2017-01-04 Sourav Nandy , Arnab Sen , Arnab Das , Abhishek Dhar