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

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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 int...

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Bibliographic Details
Main Authors: Zill, Jan C. (Author) , Wright, Tod M. (Author) , Kheruntsyan, Karén V. (Author) , Gasenzer, Thomas (Author) , Davis, Matthew J. (Author)
Format: Article (Journal)
Language:English
Published: 13 April 2016
In: New journal of physics
Year: 2016, Volume: 18, Issue: 4, Pages: 1-19
ISSN:1367-2630
DOI:10.1088/1367-2630/18/4/045010
Online Access:Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1088/1367-2630/18/4/045010
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Author Notes:Jan C. Zill, Tod M. Wright, Karén V. Kheruntsyan, Thomas Gasenzer and Matthew J. Davis
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Summary: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.
Item Description:Gesehen am 08.10.2021
Physical Description:Online Resource
ISSN:1367-2630
DOI:10.1088/1367-2630/18/4/045010

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