Exact nonequilibrium dynamics of finite-temperature Tonks-Girardeau gases

Dimitri Gangardt, Yasar Atas, I. Bouchoule, K. V. Kheruntsyan

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16 Citations (Scopus)
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Abstract

Describing finite-temperature nonequilibrium dynamics of interacting many-particle systems is a notoriously challenging problem in quantum many-body physics. Here we provide an exact solution to this problem for a system of strongly interacting bosons in one dimension in the Tonks-Girardeau regime of infinitely strong repulsive interactions. Using the Fredholm determinant approach and the Bose-Fermi mapping, we show how the problem can be reduced to a single-particle basis, wherein the finite-temperature effects enter the solution via an effective “dressing” of the single-particle wave functions by the Fermi-Dirac occupation factors. We demonstrate the utility of our approach and its computational efficiency in two nontrivial out-of-equilibrium scenarios: collective breathing-mode oscillations in a harmonic trap and collisional dynamics in the Newton's cradle setting involving real-time evolution in a periodic Bragg potential.
Original languageEnglish
Article number043622
Number of pages6
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume95
Issue number4
DOIs
Publication statusPublished - 18 Apr 2017

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