Interaction quenches in the Lieb-Liniger model

Marton Kormos; Aditya Shashi; Yang-Zhi Chou; Adilet Imambekov

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arXiv · 1204.3889

Interaction quenches in the Lieb-Liniger model

Marton Kormos·Aditya Shashi·Yang-Zhi Chou·Adilet Imambekov

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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.

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Marton Kormos, Aditya Shashi, Yang-Zhi Chou, Adilet Imambekov. 2012-04-17. Interaction quenches in the Lieb-Liniger model. https://arxiv.org/abs/1204.3889

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