Dynamical control of self-trapping of two weakly coupled Bose-Einstein condensates with a time-modulated nonlinearity

We investigate the effect of a periodic nonlinearity on the self-trapping transitions of two weakly coupled Bose-Einstein condensates in a double well potential. By using an averaging method, the equations of motion of the slow dynamics are derived to analyze the self-trapping behavior. A new type of the tunneling dynamics, characterized by alternate appearance of self-tapping in the two wells, is observed when certain conditions are satisfied.