Exact nonequilibrium dynamics of finite-temperature Tonks-Girardeau gases
| Autor: | Karen Kheruntsyan, Isabelle Bouchoule, Dimitri M. Gangardt, Y. Y. Atas |
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| Přispěvatelé: | University of Queensland, School of Mathematics and Physics, Brisbane, Queensland 4072, Australia, University of Queensland [Brisbane], School of Physics and Astronomy [Birmingham], University of Birmingham [Birmingham], Laboratoire Charles Fabry / Optique atomique, Laboratoire Charles Fabry (LCF), Université Paris-Sud - Paris 11 (UP11)-Centre National de la Recherche Scientifique (CNRS)-Institut d'Optique Graduate School (IOGS)-Université Paris-Sud - Paris 11 (UP11)-Centre National de la Recherche Scientifique (CNRS)-Institut d'Optique Graduate School (IOGS) |
| Jazyk: | angličtina |
| Rok vydání: | 2017 |
| Předmět: |
Physics
Condensed Matter::Quantum Gases Quantum Physics Basis (linear algebra) [PHYS.COND.GAS]Physics [physics]/Condensed Matter [cond-mat]/Quantum Gases [cond-mat.quant-gas] Non-equilibrium thermodynamics Fredholm determinant FOS: Physical sciences Harmonic (mathematics) 01 natural sciences 010305 fluids & plasmas Classical mechanics Exact solutions in general relativity Quantum Gases (cond-mat.quant-gas) 0103 physical sciences Condensed Matter - Quantum Gases 010306 general physics Wave function Quantum Physics (quant-ph) Quantum Boson |
| Zdroj: | Physical Review A Physical Review A, American Physical Society, 2017, 95, pp.043622 |
| ISSN: | 1050-2947 1094-1622 |
| Popis: | 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 wavefunctions 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. Comment: Final published version in PRA style; moved Supplemental Material into main text; 6 pages, 3 figures |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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