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Dynamical Thermalization of Interacting Fermionic Atoms in a Sinai Oscillator Trap

2019/07/15 by Klaus M. Frahm, Leonardo Ermann, Dima L. Shepelyansky · 4 citations
Physics and Astronomy · #Boltzmann constant #Cold Atom Physics and Bose-Einstein Condensates #Fermion #Physics #Quantum #Quantum chaos #Quantum chaos and dynamical systems #Quantum dynamics #Quantum many-body systems #Quantum mechanics #Relaxation (psychology) #Thermalisation #Ultracold atom #cond-mat.quant-gas #nlin.CD

paper · pdf · doi:10.3390/condmat4030076

published in Condensed Matter 4(3), 76 (Multidisciplinary Digital Publishing Institute) · contribution to the Special Issue in memory of Shmuel Fishman to appear at MDPI Condensed Matter journal; 28 pages, 15+1 figs

arxiv created 2019/07/15 · openalex publication_date 2019/08/08 · arxiv updated 2019/08/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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 Åberg criterion, lead to the Fermi–Dirac distribution and relaxation of many-body initial states to the thermalized state in the absence of any contact with a thermostate. We discuss the properties of this dynamical thermalization and its links with the Loschmidt–Boltzmann dispute.

Citations