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

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.

18 pages, 9 figures

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Cited by in corpus (6)

• Memory of the Initial Conditions in an Incompletely-Chaotic Quantum System: Universal Predictions and an Application to Cold Atoms
• Impurity in a bosonic Josephson junction: swallowtail loops, chaos, self-trapping and the poor man's Dicke model
• Universal scaling of spin mixing dynamics in a strongly interacting one-dimensional Fermi gas
• Statistical properties of spectra in harmonically trapped spin-orbit coupled systems
• Exploring integrability-chaos transition with a sequence of independent perturbations
• Quantum chaos in a harmonic waveguide with scatterers