Chaotic and frequency-locked atomic population oscillations between two coupled Bose-Einstein condensates - art. no. 053604

We have investigated the chaotic and frequency-locked population oscillatio ns between two coupled Bose-Einstein condensates with time-dependent asymme tric potential and damping. Under the deterministic perturbation, there exi st stable oscillations close to the separatrix solution, which are Melnikov chaotic. Numerical results reveal that, in the nondissipative regime, regu lar oscillations gradually tend to chaotic with the increase of the trap as ymmetry, the long-term localization disappears, and short-term localization can be changed from one of the Bose-Einstein condensates to the other thro ugh the route of Rabi oscillation. But in the dissipative regime, stationar y chaos disappears and transient chaos is a common phenomenon before the re gular stable frequency-locked oscillations, and a proper damping can keep t he localization long lived.