Quenches from bosonic Gaussian initial states to the Tonks-Girardeau limit: Stationary states and effects of a confining potential - Archive ouverte HAL
Article Dans Une Revue Physical Review B: Condensed Matter and Materials Physics (1998-2015) Année : 2017

Quenches from bosonic Gaussian initial states to the Tonks-Girardeau limit: Stationary states and effects of a confining potential

Résumé

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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Dates et versions

hal-01597670 , version 1 (23-11-2023)

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Alvise Bastianello, Mario Collura, Spyros Sotiriadis. Quenches from bosonic Gaussian initial states to the Tonks-Girardeau limit: Stationary states and effects of a confining potential. Physical Review B: Condensed Matter and Materials Physics (1998-2015), 2017, 95 (17), pp.174303. ⟨10.1103/PhysRevB.95.174303⟩. ⟨hal-01597670⟩
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