title: Transient and stationary chaos of a Bose-Einstein condensate loaded into a moving optical lattice potential.
abstract: Chaotic space-time evolution is investigated for the particle number density of a Bose-Einstein condensate with attractive interatomic interaction loaded into a traveling optical lattice. Melnikov chaos is studied and the weakly chaotic regime is presented analytically. Transitions from transient to stationary chaos in the space-time evolution are illustrated numerically. The results show that, on increasing the strength of the optical potential, the transient chaos falls onto several different attractors. Meanwhile, these attractors undergo a series of period-doubling bifurcations when the optical potential intensity is increased continuously, and eventually stationary chaos arises for a critical depth of the optical lattice. The obstructions to chaos caused by the damping and the motion of lattice are also demonstrated.
authors.affiliation: Department of Physics, Hunan Normal University, Changsha 410081, People's Republic of China.
authors.forename: Guishu
authors.initials: G
authors.lastname: Chong
authors.forename: Wenhua
authors.initials: W
authors.lastname: Hai
authors.forename: Qiongtao
authors.initials: Q
authors.lastname: Xie