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

by Lorenzo Piroli, Pasquale Calabrese, Fabian H. L. Essler

Submission summary

As Contributors: Pasquale Calabrese · Fabian Essler · Lorenzo Piroli
Arxiv Link: http://arxiv.org/abs/1604.08141v3
Date accepted: 2016-09-01
Date submitted: 2016-07-29
Submitted by: Piroli, Lorenzo
Submitted to: SciPost Physics
Discipline: Physics
Subject area: Quantum Physics
Approach: Theoretical

Abstract

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 $g_2$.

Ontology / Topics

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Attractive Bose gas Bose-Einstein condensates (BECs) Bound states Lieb-Liniger model Local pair correlation g_2 One-dimensional Bose gas Quantum quenches Quench Action Stationary states

Published as SciPost Phys. 1, 001 (2016)



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