Interaction quenches in the Lieb-Liniger model
Abstract
We obtain exact results on interaction quenches in the 1D Bose gas described by the integrable Lieb-Liniger model. We show that in the long time limit integrability leads to significant deviations from the predictions of the grand canonical ensemble and a description within the generalized Gibbs ensemble (GGE) is needed. For a non-interacting initial state and arbitrary final interactions, we find that the presence of infinitely many conserved charges generates a non-analytic behavior in the equilibrated density of quasimomenta. This manifests itself in a dynamically generated Friedel-like oscillation of the non-local correlation functions with interaction dependent oscillation momenta. We also exactly evaluate local correlations and the generalized chemical potentials within GGE.
Cite
@article{arxiv.1204.3889,
title = {Interaction quenches in the Lieb-Liniger model},
author = {Marton Kormos and Aditya Shashi and Yang-Zhi Chou and Adilet Imambekov},
journal= {arXiv preprint arXiv:1204.3889},
year = {2012}
}