Dynamical thermalization of interacting fermionic atoms in a Sinai-oscillator trap
Title: | Dynamical thermalization of interacting fermionic atoms in a Sinai-oscillator trap |
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Authors: | Frahm, Klaus M., Ermann, Leonardo, Shepelyansky, Dima L. |
Source: | MDPI Condens. Matter v.4, p.76 (2019) |
Publication Year: | 2019 |
Collection: | Condensed Matter Nonlinear Sciences |
Subject Terms: | Condensed Matter - Quantum Gases, Nonlinear Sciences - Chaotic Dynamics |
More Details: | 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. Comment: contribution to the Special Issue in memory of Shmuel Fishman to appear at MDPI Condensed Matter journal; 28 pages, 15+1 figs |
Document Type: | Working Paper |
DOI: | 10.3390/condmat4030076 |
Access URL: | http://arxiv.org/abs/1907.06711 |
Accession Number: | edsarx.1907.06711 |
Database: | arXiv |
DOI: | 10.3390/condmat4030076 |
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