Quantum quench dynamics of the attractive one-dimensional Bose gas via the coordinate Bethe ansatz

Quantum quench dynamics of the attractive one-dimensional Bose gas via the coordinate Bethe ansatz

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 seven particles in the vicinity of the crossover to a locali...

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Main Author: Jan C. Zill, Tod M. Wright, Karen V. Kheruntsyan, Thomas Gasenzer, Matthew J. Davis
Format: Article
Language:English
Published: SciPost 2018-02-01
Series:SciPost Physics
Online Access:https://scipost.org/SciPostPhys.4.2.011
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spelling doaj-63cc3dbcddb0463fb1a9080467df5e392020-11-24T21:29:47ZengSciPostSciPost Physics2542-46532018-02-014201110.21468/SciPostPhys.4.2.011Quantum quench dynamics of the attractive one-dimensional Bose gas via the coordinate Bethe ansatzJan C. Zill, Tod M. Wright, Karen V. Kheruntsyan, Thomas Gasenzer, Matthew J. DavisWe 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 seven particles in the vicinity of the crossover to a localized solitonic state and study the dynamics of a system of four particles quenched to attractive interactions from the ideal-gas ground state. We determine the time evolution of correlation functions, as well as their temporal averages, and discuss the role of bound states in shaping the postquench correlations and relaxation dynamics.https://scipost.org/SciPostPhys.4.2.011
collection DOAJ
language English
format Article
sources DOAJ
author Jan C. Zill, Tod M. Wright, Karen V. Kheruntsyan, Thomas Gasenzer, Matthew J. Davis
spellingShingle Jan C. Zill, Tod M. Wright, Karen V. Kheruntsyan, Thomas Gasenzer, Matthew J. Davis
Quantum quench dynamics of the attractive one-dimensional Bose gas via the coordinate Bethe ansatz
SciPost Physics
author_facet Jan C. Zill, Tod M. Wright, Karen V. Kheruntsyan, Thomas Gasenzer, Matthew J. Davis
author_sort Jan C. Zill, Tod M. Wright, Karen V. Kheruntsyan, Thomas Gasenzer, Matthew J. Davis
title Quantum quench dynamics of the attractive one-dimensional Bose gas via the coordinate Bethe ansatz
title_short Quantum quench dynamics of the attractive one-dimensional Bose gas via the coordinate Bethe ansatz
title_full Quantum quench dynamics of the attractive one-dimensional Bose gas via the coordinate Bethe ansatz
title_fullStr Quantum quench dynamics of the attractive one-dimensional Bose gas via the coordinate Bethe ansatz
title_full_unstemmed Quantum quench dynamics of the attractive one-dimensional Bose gas via the coordinate Bethe ansatz
title_sort quantum quench dynamics of the attractive one-dimensional bose gas via the coordinate bethe ansatz
publisher SciPost
series SciPost Physics
issn 2542-4653
publishDate 2018-02-01
description 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 seven particles in the vicinity of the crossover to a localized solitonic state and study the dynamics of a system of four particles quenched to attractive interactions from the ideal-gas ground state. We determine the time evolution of correlation functions, as well as their temporal averages, and discuss the role of bound states in shaping the postquench correlations and relaxation dynamics.
url https://scipost.org/SciPostPhys.4.2.011
work_keys_str_mv AT janczilltodmwrightkarenvkheruntsyanthomasgasenzermatthewjdavis quantumquenchdynamicsoftheattractiveonedimensionalbosegasviathecoordinatebetheansatz
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