Switching and self-trapping effects on three coupled Bose-Einstein condensate solitons

The dynamics of three coupled Bose-Einstein condensate solitons are investigated by the variational approach in finite potentials, and the switching and self-trapping effects on the three Bose-Einstein condensate solitons are studied. The stability issue is discussed by performing a standard linear stability analysis for the stationary states, and the dynamic mechanism is demonstrated by performing a coordinate of a classical particle moving in an effective potential field. The critical behavior of the three Bose-Einstein condensate solitons is analyzed, and confirmed by the evolution of the atom population transferring ratio versus time.