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Open AccessArticle

Dynamical Thermalization of Interacting Fermionic Atoms in a Sinai Oscillator Trap

1
Laboratoire de Physique Théorique, IRSAMC, Université de Toulouse, CNRS, UPS, 31062 Toulouse, France
2
Departamento de Física Teórica, GIyA, Comisión Nacional de Energía Atómica, CP1650 Buenos Aires, Argentina
*
Author to whom correspondence should be addressed.
Condens. Matter 2019, 4(3), 76; https://doi.org/10.3390/condmat4030076
Received: 15 July 2019 / Revised: 3 August 2019 / Accepted: 6 August 2019 / Published: 8 August 2019
(This article belongs to the Special Issue Many Body Quantum Chaos)
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. View Full-Text
Keywords: quantum chaos; cold atoms; interacting fermions; thermalization; dynamical chaos; Sinai oscillator quantum chaos; cold atoms; interacting fermions; thermalization; dynamical chaos; Sinai oscillator
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Frahm, K.M.; Ermann, L.; Shepelyansky, D.L. Dynamical Thermalization of Interacting Fermionic Atoms in a Sinai Oscillator Trap. Condens. Matter 2019, 4, 76.

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