Two simple systems with cold atoms: quantum chaos tests and nonequilibrium dynamics
arXiv:1005.5463 · doi:10.1088/1367-2630/12/5/055022
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