title: Chaotic atomic tunneling between two periodically driven Bose-Einstein condensates.
abstract: The chaotic coherent atomic tunneling between two periodically driven and weakly coupled Bose-Einstein condensates has been investigated. The perturbed correction to the homoclinic orbit is constructed and its boundedness conditions are established that contain the Melnikov criterion for the onset of chaos. We analytically reveal that the chaotic coherent atomic tunneling is deterministic but not predictable. Our numerical calculation shows good agreement with the analytical result and exhibits nonphysically numerical instability. By adjusting the initial conditions, we propose a method to control the unboundedness, which leads the quantum coherent atomic tunneling to predictable periodical oscillation.
authors.affiliation: Department of Physics, Hunan Normal University, ChangSha 410081, People's Republic of China.
authors.forename: Qiongtao
authors.initials: Q
authors.lastname: Xie
authors.forename: Wenhua
authors.initials: W
authors.lastname: Hai
authors.forename: Guishu
authors.initials: G
authors.lastname: Chong