Abstract
Three coupled Bose-Einstein condensates are investigated by the variational approach in finite potentials with potential deviation, and the effects of the potential deviation on dynamics of the three Bose-Einstein condensates are studied. The potential deviation leads to the shift of the stationary state, resets the stability condition, causes the population imbalance competition, and changes the switching and self-trapping effects on the Bose-Einstein condensates. The effect mechanism is demonstrated by performing a coordinate of classical particles moving in an effective potential field. The critical behaviors are analyzed, and are confirmed by evolution of the atom population imbalance ratio.
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