English

Dynamical thermalization of interacting fermionic atoms in a Sinai-oscillator trap

Quantum Gases 2019-08-09 v1 Chaotic Dynamics

Abstract

We study numerically the problem of dynamical thermalization of interacting cold fermionic atoms placed in an isolated Sinai-oscillator trap. This system is characterized by a quantum chaos regime for one-particle dynamics. We show that for a many-body system of cold atoms the interactions, with a strength above a certain quantum chaos border given by the Aberg criterion, lead to the Fermi-Dirac distribution and relaxation of many-body initial states to the thermalized state in absence of any contact with a thermostate. We discuss the properties of this dynamical thermalization and its links with the Loschmidt-Boltzmann dispute.

Keywords

Cite

@article{arxiv.1907.06711,
  title  = {Dynamical thermalization of interacting fermionic atoms in a Sinai-oscillator trap},
  author = {Klaus M. Frahm and Leonardo Ermann and Dima L. Shepelyansky},
  journal= {arXiv preprint arXiv:1907.06711},
  year   = {2019}
}

Comments

contribution to the Special Issue in memory of Shmuel Fishman to appear at MDPI Condensed Matter journal; 28 pages, 15+1 figs