Relaxation dynamics of the Lieb-Liniger gas following an interaction quench: a coordinate Bethe-ansatz analysis

Zill, Jan C., Wright, Tod M., Kheruntsyan, Karen V., Gasenzer, Thomas and Davis, Matthew J. (2015) Relaxation dynamics of the Lieb-Liniger gas following an interaction quench: a coordinate Bethe-ansatz analysis. Physical Review A (Atomic, Molecular, and Optical Physics), 91 2: 023611-1-023611-17. doi:10.1103/PhysRevA.91.023611

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Author Zill, Jan C.
Wright, Tod M.
Kheruntsyan, Karen V.
Gasenzer, Thomas
Davis, Matthew J.
Title Relaxation dynamics of the Lieb-Liniger gas following an interaction quench: a coordinate Bethe-ansatz analysis
Journal name Physical Review A (Atomic, Molecular, and Optical Physics)   Check publisher's open access policy
ISSN 1094-1622
1050-2947
Publication date 2015-02-12
Year available 2015
Sub-type Article (original research)
DOI 10.1103/PhysRevA.91.023611
Open Access Status File (Publisher version)
Volume 91
Issue 2
Start page 023611-1
End page 023611-17
Total pages 17
Place of publication College Park, MD United States
Publisher American Physical Society
Collection year 2016
Language eng
Abstract We investigate the relaxation dynamics of the integrable Lieb-Liniger model of contact-interacting bosons in one dimension following a sudden quench of the collisional interaction strength. The system is initially prepared in its noninteracting ground state and the interaction strength is then abruptly switched to a positive value, corresponding to repulsive interactions between the bosons. We calculate equal-time correlation functions of the nonequilibrium Bose field for small systems of up to five particles via symbolic evaluation of coordinate Bethe-ansatz expressions for operator matrix elements between Lieb-Liniger eigenstates. We characterize the relaxation of the system by comparing the time-evolving correlation functions following the quench to the equilibrium correlations predicted by the diagonal ensemble and relate the behavior of these correlations to that of the quantum fidelity between the many-body wave function and the initial state of the system. Our results for the asymptotic scaling of local second-order correlations with increasing interaction strength agree with the predictions of recent generalized thermodynamic Bethe-ansatz calculations. By contrast, third-order correlations obtained within our approach exhibit a markedly different power-law dependence on the interaction strength as the Tonks-Girardeau limit of infinitely strong interactions is approached.
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status UQ

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Mathematics and Physics
Official 2016 Collection
 
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