Two simple systems with cold atoms: quantum chaos tests and nonequilibrium dynamics

TL;DR

This paper explores quantum chaos and nonequilibrium dynamics in cold atom systems, linking experimental models with theoretical chaos concepts through spectral and thermalization analyses.

Contribution

It introduces two simple cold atom systems at the intersection of quantum chaos and nonequilibrium dynamics, analyzing their spectral properties and thermalization behavior.

Findings

Level spacing distribution analysis shows signatures of quantum chaos.

Wavefunction statistics indicate chaotic eigenstates.

Systems demonstrate eigenstate thermalization and relaxation capabilities.

Abstract

This article is an attempt to provide a link between the quantum nonequilibrium dynamics of cold gases and fifty years of progress in the lowdimensional quantum chaos. We identify two atomic systems lying on the interface: two interacting atoms in a harmonic multimode waveguide and an interacting two-component Bose-Bose mixture in a double-well potential. In particular, we study the level spacing distribution, the wavefunction statistics, the eigenstate thermalization, and the ability to thermalize in a relaxation process as such.