Interaction quenches in the one-dimensional Bose gas

Kormos, Márton and Shashi, A. and Chou, Y. Z. and Caux, J. S. and Imambekov, A. (2013) Interaction quenches in the one-dimensional Bose gas. PHYSICAL REVIEW B, 88 (20). ISSN 2469-9950

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Abstract

The non-equilibrium dynamics of integrable systems are special: there is substantial evidence that after a quantum quench they do not thermalize but their asymptotic steady state can be described by a Generalized Gibbs Ensemble (GGE). Most of the studies on the GGE so far have focused on models that can be mapped to quadratic systems while analytic treatment in non-quadratic systems remained elusive. We obtain results on interaction quenches in a non-quadratic continuum system, the 1D Bose gas described by the integrable Lieb–Liniger model. We compute local correlators for a non-interacting initial state and arbitrary final interactions as well as two-point functions for quenches to the Tonks–Girardeau regime. We show that in the long time limit integrability leads to significant deviations from the predictions of the grand canonical ensemble.

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