Quantum dynamics of three coupled atomic Bose-Einstein condensates - art. no. 013604

The simplest model of three coupled Bose-Einstein condensates is investigat ed using a group theoretical method. The stationary solutions are determine d using the SU(3) group under the mean-field approximation. This semiclassi cal analysis, using system symmetries, shows a transition in the dynamics o f the system from self trapping to delocalization at a critical value for t he coupling between the condensates. The global dynamics are investigated b y examination of the stable points, and our analysis shows that the structu re of the stable points depends on the ratio of the condensate coupling to the particle-particle interaction, and undergoes bifurcations as this ratio is varied. This semiclassical model is compared to a full quantum treatmen t, which also displays a dynamical transition. The quantum case has collaps e and revival sequences superimposed on the semiclassical dynamics, reflect ing the underlying discreteness of the spectrum. Nonzero circular current s tates are also demonstrated as one of the higher-dimensional effects displa yed in this system.