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

Klaus M. Frahm (1, 2) , Leonardo Ermann (3) , Dima Shepelyansky (1, 2)

1 ICQ - Cohérence Quantique (LPT)
2 LPT - Laboratoire de Physique Théorique
3 CNEA - Comisión Nacional de Energía Atómica [ARGENTINA]

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.

Domaines: Gaz Quantiques [cond-mat.quant-gas]; Dynamique Chaotique [nlin.CD]

Klaus M. Frahm, Leonardo Ermann, Dima Shepelyansky. Dynamical thermalization of interacting fermionic atoms in a Sinai-oscillator trap. Condensed Matter, 2019, 4, pp.76. ⟨10.3390/condmat4030076⟩. ⟨hal-02185995⟩