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Related papers: Interaction quenches in the 1D Bose gas

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We review exact approaches and recent results related to the relaxation dynamics and description after relaxation of various one-dimensional lattice systems of hard-core bosons after a sudden quench. We first analyze the integrable case,…

Statistical Mechanics · Physics 2013-09-24 Marcos Rigol

We consider quantum quenches of harmonically trapped one-dimensional bosons from repulsive to attractive interactions, and the resulting breathing dynamics of the so-called `super-Tonks-Girardeau' (sTG) state. This state is highly excited…

Quantum Gases · Physics 2015-05-13 Wladimir Tschischik , Masudul Haque

We study the non-equilibrium dynamics of a one-dimensional Bose gas with long-range interactions that decay as $(\frac{1}{r^{\alpha}})$ $(0.5 < \alpha <4.0$). We investigate exotic dynamics when the interactions are suddenly switched from…

Quantum Gases · Physics 2025-01-10 P. Molignini , B. Chakrabarti

We study interacting Bose gases in thermal equilibrium on a lattice. We establish convergence of the grand canonical Gibbs states of such gases to their mean-field (classical field) and large-mass (classical particle) limits. The former is…

Mathematical Physics · Physics 2026-04-30 Jürg Fröhlich , Antti Knowles , Benjamin Schlein , Vedran Sohinger

We study the non-equilibrium dynamics of a one-dimensional Bose gas trapped by a harmonic potential for a quench from zero to infinite interaction. The different thermodynamic limits required for the equilibrium pre- and post-quench…

Quantum Gases · Physics 2018-04-06 Mario Collura , Márton Kormos , Pasquale Calabrese

Ground states of interacting QFTs are non-gaussian states, i.e. their connected n-point correlation functions do not vanish for n>2, in contrast to the free QFT case. We show that when the ground state of an interacting QFT evolves under a…

High Energy Physics - Theory · Physics 2016-01-26 Spyros Sotiriadis , Gabriele Martelloni

We argue that a particle language provides a conceptually simple framework for the description of anomalous equilibration in isolated quantum systems. We address this paradigm in the context of integrable models, which are those with…

Statistical Mechanics · Physics 2017-03-22 Enej Ilievski , Eoin Quinn , Jean-Sébastien Caux

We investigate the nonequilibrium dynamical properties of a weakly-interacting Bose gas at zero temperature under the multi-pulsed quantum quench in interaction by calculating one-body, two-body correlation functions and Tan's contact of…

Quantum Gases · Physics 2016-11-23 Lei Chen , Zhidong Zhang , Zhaoxin Liang

Understanding relaxation processes is an important unsolved problem in many areas of physics. A key challenge in studying such non-equilibrium dynamics is the scarcity of experimental tools for characterizing their complex transient states.…

Even after almost a century, the foundations of quantum statistical mechanics are still not completely understood. In this work, we provide a precise account on these foundations for a class of systems of paradigmatic importance that appear…

Quantum Physics · Physics 2019-10-02 Marek Gluza , Jens Eisert , Terry Farrelly

We study the dynamics of a one-dimensional Bose gas after a sudden change of the interaction strength from zero to a finite value using the numerical time-evolving block decimation (TEBD) algorithm. It is shown that despite the…

Quantum Physics · Physics 2015-03-13 Dominik Muth , Bernd Schmidt , Michael Fleischhauer

We study quantum quenches between integrable and nonintegrable hard-core boson models in the thermodynamic limit with numerical linked cluster expansions. We show that while quenches in which the initial state is a thermal equilibrium state…

Statistical Mechanics · Physics 2016-03-11 Marcos Rigol

Understanding the relaxation process is the most important unsolved problem in non-equilibrium quantum physics. Current understanding primarily concerns on if and how an isolated quantum many-body system thermalize. However, there is no…

Quantum Gases · Physics 2018-07-25 S. Bera , R Roy , A. Gammal , B. Chakrabarti , B. Chatterjee

We review some recent results on interacting Bose gases in thermal equilibrium. In particular, we study the convergence of the grand-canonical equilibrium states of such gases to their mean-field limits, which are given by the Gibbs…

Mathematical Physics · Physics 2020-05-20 Jürg Fröhlich , Antti Knowles , Benjamin Schlein , Vedran Sohinger

Nonequilibrium dynamics of a nonintegrable system without the eigenstate thermalization hypothesis is studied. It is shown that, in the thermodynamic limit, this model thermalizes after an arbitrary quantum quench at finite temperature,…

Statistical Mechanics · Physics 2017-09-06 Takashi Mori , Naoto Shiraishi

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 study the quench dynamics of one dimensional bosons or fermion quantum gases with either attractive or repulsive contact interactions. Such systems are well described by the Gaudin-Yang model which turns out to be quantum integrable. We…

Quantum Gases · Physics 2018-03-14 Huijie Guan , Natan Andrei

When a parameter quench is performed in an isolated quantum system with a complete set of constants of motion, its out of equilibrium dynamics is considered to be well captured by the Generalized Gibbs Ensemble (GGE), characterized by a set…

Mesoscale and Nanoscale Physics · Physics 2021-02-23 Lorenzo Rossi , Fabrizio Dolcini , Fabio Cavaliere , Niccolò Traverso Ziani , Maura Sassetti , Fausto Rossi

We use the coordinate Bethe ansatz to study the Lieb-Liniger model of a one-dimensional gas of bosons on a finite-sized ring interacting via an attractive delta-function potential. We calculate zero-temperature correlation functions for…

Quantum Gases · Physics 2018-02-27 Jan C. Zill , Tod M. Wright , Karen V. Kheruntsyan , Thomas Gasenzer , Matthew J. Davis

The dynamics of the Luttinger model and the sine-Gordon model (at the Luther-Emery point and in the semiclassical approximation) after a quantum quench is studied. We compute in detail one and two-point correlation functions for different…

Strongly Correlated Electrons · Physics 2015-05-13 A. Iucci , M. A. Cazalilla