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Motivated by recent experiments, we study the relaxation dynamics and thermalization in the one-dimensional Bose-Hubbard model induced by a global interaction quench. Specifically, we start from an initial state that has exactly one boson…

Statistical Mechanics · Physics 2014-09-12 S. Sorg , L. Vidmar , L. Pollet , F. Heidrich-Meisner

We study the late-time relaxation following a quench in a driven-dissipative quantum many-body system. We consider the open Dicke model, describing the infinite-range interactions between $N$ atoms and a single, lossy electromagnetic mode.…

Quantum Gases · Physics 2016-11-28 Johannes Lang , Francesco Piazza

We discuss the quench dynamics near a quantum critical point focusing on the sine-Gordon model as a primary example. We suggest a unified approach to sudden and slow quenches, where the tuning parameter $\lambda(t)$ changes in time as…

Other Condensed Matter · Physics 2010-06-09 C. De Grandi , V. Gritsev , A. Polkovnikov

We study the nonequilibrium quench dynamics of a one-dimensional anyonic gas. We focus on the integrable anyonic Lieb-Liniger model and consider the quench from non-interacting to hard-core anyons. We study the dynamics of the local…

Quantum Gases · Physics 2017-08-11 Lorenzo Piroli , Pasquale Calabrese

We study the effect of local projective measurements on the quantum quench dynamics. As a concrete example, a one-dimensional Bose-Hubbard model is simulated by the matrix product state and time-evolving block decimation. We map out a…

Statistical Mechanics · Physics 2020-01-14 Qicheng Tang , W. Zhu

A crossover between different power-law relaxation behaviors of many-body periodically driven integrable systems has come to light in recent years. We demonstrate using integrable quantum systems, that similar kinds of dynamical transitions…

Statistical Mechanics · Physics 2022-02-03 Aamir Ahmad Makki , Souvik Bandyopadhyay , Somnath Maity , Amit Dutta

We study a quench protocol where the ground state of a free many-particle bosonic theory in one dimension is let unitarily evolve in time under the integrable Lieb-Liniger Hamiltonian of $\delta$-interacting repulsive bosons. By using a…

Statistical Mechanics · Physics 2014-03-27 Jacopo De Nardis , Bram Wouters , Michael Brockmann , Jean-Sébastien Caux

We apply the logic of the quench action to give an exact analytical expression for the time evolution of the one-body density matrix after an interaction quench in the Lieb-Liniger model from the ground state of the free theory (BEC state)…

Quantum Gases · Physics 2015-06-19 Jacopo De Nardis , Jean-Sébastien Caux

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 investigate the response of a one-dimensional Bose gas to a slow increase of its interaction strength. We focus on the rich dynamics of equal-time single-particle correlations treating the Lieb-Liniger model within a bosonization…

Quantum Gases · Physics 2016-09-27 Jean-Sebastien Bernier , Roberta Citro , Corinna Kollath , Edmond Orignac

We provide an overview of our numerical and analytical studies of isolated interacting quantum systems that are quenched out of equilibrium instantaneously. We describe the relaxation process to a new equilibrium and obtain lower bounds for…

Statistical Mechanics · Physics 2016-04-04 E. J. Torres-Herrera , Davida Kollmar , Lea F. Santos

We develop a low-order conserving approximation for the interacting resonant-level model (IRLM), and apply it to (i) thermal equilibrium, (ii) nonequilibrium steady state, and (iii) nonequilibrium quench dynamics. Thermal equilibrium is…

Strongly Correlated Electrons · Physics 2014-10-10 Yuval Vinkler-Aviv , Avraham Schiller , Frithjof B. Anders

We investigate the phase ordering dynamics of a uniform two-dimensional Bose gas quenched to a finite temperature in the superfluid phase. Starting from a defect-rich, far-from-equilibrium state, we model the subsequent evolution with the…

Quantum Gases · Physics 2026-01-07 Andrew J. Groszek , Thomas P. Billam

We study the problem of rapid change of the interaction parameter (quench) in many-body low-dimensional system. It is shown that, measuring correlation functions after the quench the information about a spectrum of collective excitations in…

Other Condensed Matter · Physics 2011-11-09 Vladimir Gritsev , Eugene Demler , Mikhail Lukin , Anatoli Polkovnikov

The non-equilibrium dynamics of integrable systems are special: there is substantial evidence that after a quantum quench they do not thermalize but their asymptotic steady state can be described by a Generalized Gibbs Ensemble (GGE). Most…

Statistical Mechanics · Physics 2013-11-27 Marton Kormos , Aditya Shashi , Yang-Zhi Chou , Jean-Sebastien Caux , Adilet Imambekov

Isolated quantum systems follow the unitary evolution, which guarantees the full many body state always keeps a constant entropy as its initial one. In comparison, the local subsystems exhibit relaxation behavior and evolve towards certain…

Statistical Mechanics · Physics 2023-08-29 Tai Kang , Sheng-Wen Li

Using a Luttinger liquid theory we investigate the time evolution of the particle density of a one-dimensional fermionic system with open boundaries and subject to a finite duration quench of the inter-particle interaction. We provide…

Strongly Correlated Electrons · Physics 2016-08-16 S. Porta , F. M. Gambetta , F. Cavaliere , N. Traverso Ziani , M. Sassetti

The dynamics of the Luttinger model after a quantum quench is studied. We compute in detail one and two-point correlation functions for two types of quenches: from a non-interacting to an interacting Luttinger model and vice-versa. In the…

Quantum Gases · Physics 2010-03-29 A. Iucci , M. A. Cazalilla

We review the dynamics after quantum quenches in integrable quantum spin chains. We give a pedagogical introduction to relaxation in isolated quantum systems, and discuss the description of the steady state by (gen- eralized) Gibbs…

Quantum Gases · Physics 2016-07-06 Fabian H. L. Essler , Maurizio Fagotti

A quantum quench is the simplest protocol to investigate nonequilibrium many-body quantum dynamics. Previous studies on the entanglement properties of quenched quantum many-body systems mainly focus on the growth of entanglement entropy.…

Quantum Physics · Physics 2019-07-23 Zongping Gong , Naoto Kura , Masatoshi Sato , Masahito Ueda