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arXiv · 1702.01729

Quenches from gaussian bosons to Tonks-Girardeau gas: stationary states and effects of a confining potential

Alvise Bastianello·Mario Collura·Spyros Sotiriadis
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Abstract

We consider the general problem of quenching an interacting Bose gas from the noninteracting regime to the strong repulsive case described by the Tonks-Girardeau limit, with the initial state being a gaussian ensemble for the bosons. A generic multi-point correlation function in the steady state can be fully described in terms of a Fredholm-like determinant suitable both for a numerical study and for an analytical study in certain limiting cases. Finally, we extend the study to the presence of a smooth confining potential showing that, in the thermodynamic limit, the time evolution of the two-point function can be mapped to a classical problem in a properly defined phase-space.

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Alvise Bastianello, Mario Collura, Spyros Sotiriadis. 2017-05-25. Quenches from gaussian bosons to Tonks-Girardeau gas: stationary states and effects of a confining potential. https://doi.org/10.1103/physrevb.95.174303

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