Quantum quenches to the attractive one-dimensional Bose gas: exact results

We study quantum quenches to the one-dimensional Bose gas with attractive interactions in the case when the initial state is an ideal one-dimensional Bose condensate. We focus on properties of the stationary state reached at late times after the quench. This displays a finite density of multi-par...

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Main Author: Lorenzo Piroli, Pasquale Calabrese, Fabian H. L. Essler
Format: Article
Language:English
Published: SciPost 2016-09-01
Series:SciPost Physics
Online Access:https://scipost.org/SciPostPhys.1.1.001
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spelling doaj-0429b1a1c2a74373a50092dbbeb615f72020-11-25T00:48:36ZengSciPostSciPost Physics2542-46532016-09-011100110.21468/SciPostPhys.1.1.001Quantum quenches to the attractive one-dimensional Bose gas: exact resultsLorenzo Piroli, Pasquale Calabrese, Fabian H. L. EsslerWe study quantum quenches to the one-dimensional Bose gas with attractive interactions in the case when the initial state is an ideal one-dimensional Bose condensate. We focus on properties of the stationary state reached at late times after the quench. This displays a finite density of multi-particle bound states, whose rapidity distribution is determined exactly by means of the quench action method. We discuss the relevance of the multi-particle bound states for the physical properties of the system, computing in particular the stationary value of the local pair correlation function $g_2$.https://scipost.org/SciPostPhys.1.1.001
collection DOAJ
language English
format Article
sources DOAJ
author Lorenzo Piroli, Pasquale Calabrese, Fabian H. L. Essler
spellingShingle Lorenzo Piroli, Pasquale Calabrese, Fabian H. L. Essler
Quantum quenches to the attractive one-dimensional Bose gas: exact results
SciPost Physics
author_facet Lorenzo Piroli, Pasquale Calabrese, Fabian H. L. Essler
author_sort Lorenzo Piroli, Pasquale Calabrese, Fabian H. L. Essler
title Quantum quenches to the attractive one-dimensional Bose gas: exact results
title_short Quantum quenches to the attractive one-dimensional Bose gas: exact results
title_full Quantum quenches to the attractive one-dimensional Bose gas: exact results
title_fullStr Quantum quenches to the attractive one-dimensional Bose gas: exact results
title_full_unstemmed Quantum quenches to the attractive one-dimensional Bose gas: exact results
title_sort quantum quenches to the attractive one-dimensional bose gas: exact results
publisher SciPost
series SciPost Physics
issn 2542-4653
publishDate 2016-09-01
description We study quantum quenches to the one-dimensional Bose gas with attractive interactions in the case when the initial state is an ideal one-dimensional Bose condensate. We focus on properties of the stationary state reached at late times after the quench. This displays a finite density of multi-particle bound states, whose rapidity distribution is determined exactly by means of the quench action method. We discuss the relevance of the multi-particle bound states for the physical properties of the system, computing in particular the stationary value of the local pair correlation function $g_2$.
url https://scipost.org/SciPostPhys.1.1.001
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