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

Zill, Jan C., Wright, Tod M., Kheruntsyan, Karen V., Gasenzer, Thomas and Davis, Matthew J. (2018) Quantum quench dynamics of the attractive one-dimensional Bose gas via the coordinate Bethe ansatz. Scipost Physics, 4 2: . doi:10.21468/SciPostPhys.4.2.011


Author Zill, Jan C.
Wright, Tod M.
Kheruntsyan, Karen V.
Gasenzer, Thomas
Davis, Matthew J.
Title Quantum quench dynamics of the attractive one-dimensional Bose gas via the coordinate Bethe ansatz
Journal name Scipost Physics
ISSN 2542-4653
Publication date 2018-02-01
Year available 2018
Sub-type Article (original research)
DOI 10.21468/SciPostPhys.4.2.011
Open Access Status DOI
Volume 4
Issue 2
Total pages 36
Place of publication Amsterdam, Netherlands
Publisher SciPost Foundation
Language eng
Abstract 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.
Keyword Tonks-Girardeau Gas
Ground-State Properties
Matter-Wave Solitons
Ultracold Gases
Impenetrable Bosons
Bright Soliton
Field-Theory
Systems
Phase
Confinement
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status UQ

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Mathematics and Physics
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Created: Sat, 14 Apr 2018, 20:00:44 EST