Chaos in collapsing Bose-condensed gas - art. no. 033605

We reinvestigate the dynamics of the grow and collapse of Bose-Einstein con densates in a system of trapped ultracold atoms with negative scattering le ngths, and found a new behavior in the long time scale evolution: the numbe r of atoms can go far beyond the static stability limit. The condensed stat e is described by the solution of the time-dependent nonlinear Schrodinger equation, in a model that includes atomic feeding and three-body dissipatio n. Our results for the model show that, by changing the feeding parameter a nd when a substantial depletion of the ground-state exists, a chaotic behav ior is found. We consider a criterion proposed by Deissler and Kaneko [Phys . Lett. A 119, 397 (1987)] to diagnose spatiotemporal chaos.