Hydrodynamics of the interacting Bose gas in the Quantum Newton Cradle setup
Abstract
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.
- Authors:
-
- Institute of Physics, University of Amsterdam
- King's College London
- Université de Lorraine
- Brookhaven National Laboratory
- Publication Date:
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1564417
- Grant/Contract Number:
- AC02-98CH10886
- Resource Type:
- Published Article
- Journal Name:
- SciPost Physics
- Additional Journal Information:
- Journal Name: SciPost Physics Journal Volume: 6 Journal Issue: 6; Journal ID: ISSN 2542-4653
- Publisher:
- Stichting SciPost
- Country of Publication:
- Netherlands
- Language:
- English
Citation Formats
Caux, Jean-Sébastien, Doyon, Benjamin, Dubail, Jerome, Konik, Robert, and Yoshimura, Takato. Hydrodynamics of the interacting Bose gas in the Quantum Newton Cradle setup. Netherlands: N. p., 2019.
Web. doi:10.21468/SciPostPhys.6.6.070.
Caux, Jean-Sébastien, Doyon, Benjamin, Dubail, Jerome, Konik, Robert, & Yoshimura, Takato. Hydrodynamics of the interacting Bose gas in the Quantum Newton Cradle setup. Netherlands. https://doi.org/10.21468/SciPostPhys.6.6.070
Caux, Jean-Sébastien, Doyon, Benjamin, Dubail, Jerome, Konik, Robert, and Yoshimura, Takato. Thu .
"Hydrodynamics of the interacting Bose gas in the Quantum Newton Cradle setup". Netherlands. https://doi.org/10.21468/SciPostPhys.6.6.070.
@article{osti_1564417,
title = {Hydrodynamics of the interacting Bose gas in the Quantum Newton Cradle setup},
author = {Caux, Jean-Sébastien and Doyon, Benjamin and Dubail, Jerome and Konik, Robert and Yoshimura, Takato},
abstractNote = {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.},
doi = {10.21468/SciPostPhys.6.6.070},
journal = {SciPost Physics},
number = 6,
volume = 6,
place = {Netherlands},
year = {Thu Jun 20 00:00:00 EDT 2019},
month = {Thu Jun 20 00:00:00 EDT 2019}
}
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https://doi.org/10.21468/SciPostPhys.6.6.070
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