Hydrodynamics of the interacting Bose gas in the Quantum Newton Cradle setup

Describing and understanding the motion of quantum gases out of equilibrium is one of the most important modern challenges for theorists. In the groundbreaking Quantum Newton Cradle experiment [Kinoshita, Wenger and Weiss, Nature 440, 900, 2006], quasi-one-dimensional cold atom gases were observe...

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Main Author: Jean-Sébastien Caux, Benjamin Doyon, Jérôme Dubail, Robert Konik, Takato Yoshimura
Format: Article
Language:English
Published: SciPost 2019-06-01
Series:SciPost Physics
Online Access:https://scipost.org/SciPostPhys.6.6.070
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author Jean-Sébastien Caux, Benjamin Doyon, Jérôme Dubail, Robert Konik, Takato Yoshimura
author_facet Jean-Sébastien Caux, Benjamin Doyon, Jérôme Dubail, Robert Konik, Takato Yoshimura
author_sort Jean-Sébastien Caux, Benjamin Doyon, Jérôme Dubail, Robert Konik, Takato Yoshimura
collection DOAJ
description Describing and understanding the motion of quantum gases out of equilibrium is one of the most important modern challenges for theorists. In the groundbreaking Quantum Newton Cradle experiment [Kinoshita, Wenger and Weiss, Nature 440, 900, 2006], quasi-one-dimensional cold atom gases were observed with unprecedented accuracy, providing impetus for many developments on the effects of low dimensionality in out-of-equilibrium physics. But it is only recently that the theory of generalized hydrodynamics has provided the adequate tools for a numerically efficient description. Using it, we give a complete numerical study of the time evolution of an ultracold atomic gas in this setup, in an interacting parameter regime close to that of the original experiment. We evaluate the full evolving phase-space distribution of particles. We simulate oscillations due to the harmonic trap, the collision of clouds without thermalization, and observe a small elongation of the actual oscillation period and cloud deformations due to many-body dephasing. We also analyze the effects of weak anharmonicity. In the experiment, measurements are made after release from the one-dimensional trap. We evaluate the gas density curves after such a release, characterizing the actual time necessary for reaching the asymptotic state where the integrable quasi-particle momentum distribution function emerges.
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spelling doaj.art-1b7ae46da5e446e5801afe581e57b8932022-12-22T00:43:38ZengSciPostSciPost Physics2542-46532019-06-016607010.21468/SciPostPhys.6.6.070Hydrodynamics of the interacting Bose gas in the Quantum Newton Cradle setupJean-Sébastien Caux, Benjamin Doyon, Jérôme Dubail, Robert Konik, Takato YoshimuraDescribing and understanding the motion of quantum gases out of equilibrium is one of the most important modern challenges for theorists. In the groundbreaking Quantum Newton Cradle experiment [Kinoshita, Wenger and Weiss, Nature 440, 900, 2006], quasi-one-dimensional cold atom gases were observed with unprecedented accuracy, providing impetus for many developments on the effects of low dimensionality in out-of-equilibrium physics. But it is only recently that the theory of generalized hydrodynamics has provided the adequate tools for a numerically efficient description. Using it, we give a complete numerical study of the time evolution of an ultracold atomic gas in this setup, in an interacting parameter regime close to that of the original experiment. We evaluate the full evolving phase-space distribution of particles. We simulate oscillations due to the harmonic trap, the collision of clouds without thermalization, and observe a small elongation of the actual oscillation period and cloud deformations due to many-body dephasing. We also analyze the effects of weak anharmonicity. In the experiment, measurements are made after release from the one-dimensional trap. We evaluate the gas density curves after such a release, characterizing the actual time necessary for reaching the asymptotic state where the integrable quasi-particle momentum distribution function emerges.https://scipost.org/SciPostPhys.6.6.070
spellingShingle Jean-Sébastien Caux, Benjamin Doyon, Jérôme Dubail, Robert Konik, Takato Yoshimura
Hydrodynamics of the interacting Bose gas in the Quantum Newton Cradle setup
SciPost Physics
title Hydrodynamics of the interacting Bose gas in the Quantum Newton Cradle setup
title_full Hydrodynamics of the interacting Bose gas in the Quantum Newton Cradle setup
title_fullStr Hydrodynamics of the interacting Bose gas in the Quantum Newton Cradle setup
title_full_unstemmed Hydrodynamics of the interacting Bose gas in the Quantum Newton Cradle setup
title_short Hydrodynamics of the interacting Bose gas in the Quantum Newton Cradle setup
title_sort hydrodynamics of the interacting bose gas in the quantum newton cradle setup
url https://scipost.org/SciPostPhys.6.6.070
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