A coordinate Bethe ansatz approach to the calculation of equilibrium and nonequilibrium correlations of the one-dimensional Bose gas

Zill, Jan C., Wright, Tod M., Kheruntsyan, Karen V., Gasenzer, Thomas and Davis, Matthew J. (2016) A coordinate Bethe ansatz approach to the calculation of equilibrium and nonequilibrium correlations of the one-dimensional Bose gas. New Journal of Physics, 18 1-18. doi:10.1088/1367-2630/18/4/045010


Author Zill, Jan C.
Wright, Tod M.
Kheruntsyan, Karen V.
Gasenzer, Thomas
Davis, Matthew J.
Title A coordinate Bethe ansatz approach to the calculation of equilibrium and nonequilibrium correlations of the one-dimensional Bose gas
Journal name New Journal of Physics   Check publisher's open access policy
ISSN 1367-2630
Publication date 2016-04
Year available 2016
Sub-type Article (original research)
DOI 10.1088/1367-2630/18/4/045010
Open Access Status DOI
Volume 18
Start page 1
End page 18
Total pages 18
Place of publication Bristol, United Kingdom
Publisher Institute of Physics Publishing
Collection year 2017
Language eng
Abstract We use the coordinate Bethe ansatz to exactly calculate matrix elements between eigenstates of the Lieb–Liniger model of one-dimensional bosons interacting via a two-body delta-potential. We investigate the static correlation functions of the zero-temperature ground state and their dependence on interaction strength, and analyze the effects of system size in the crossover from few-body to mesoscopic regimes for up to seven particles. We also obtain time-dependent nonequilibrium correlation functions for five particles following quenches of the interaction strength from two distinct initial states. One quench is from the noninteracting ground state and the other from a correlated ground state near the strongly interacting Tonks–Girardeau regime. The final interaction strength and conserved energy are chosen to be the same for both quenches. The integrability of the model highly constrains its dynamics, and we demonstrate that the time-averaged correlation functions following quenches from these two distinct initial conditions are both nonthermal and moreover distinct from one another.
Keyword Bethe ansatz
One-dimensional quantum gases
Few-body systems
Lieb-Liniger model
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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