2016/08/31 by Y. Y. Atas, D. M. Gangardt, Isabelle Bouchoule +2 · 46 citations
Physics and Astronomy · #Bose gas #Bose–Einstein condensate #Boson #Cold Atom Physics and Bose-Einstein Condensates #Fermi Gamma-ray Space Telescope #Fermion #Non-equilibrium thermodynamics #Physics #Quantum #Quantum many-body systems #Quantum mechanics #Quantum, superfluid, helium dynamics #Statistical physics #Wave function #cond-mat.quant-gas #quant-ph
paper · pdf · doi:10.1103/physreva.95.043622
published in Physical Review A 95(4) (American Physical Society) · Final published version in PRA style; moved Supplemental Material into main text; 6 pages, 3 figures
openalex created_date 2016/10/21 · openalex publication_date 2017/04/18 · arxiv created 2017/04/30 · arxiv updated 2017/05/02 · openalex updated_date 2026/08/05
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.