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Periodic Modulation Effect on Self-Trapping of Two weakly coupled Bose-Einstein Condensates
With phase space analysis approach, we investigate thoroughly the
self-trapping phenomenon for two weakly coupled Bose-Einstein condensates (BEC)
in a symmetric double-well potential. We identify two kinds of self-trapping by
their different relative phase behavior. With applying a periodic modulation on
the energy bias of the system we find the occurrence of the self-trapping can
be controlled, saying, the transition parameters can be adjusted effectively by
the periodic modulation. Analytic expressions for the dependence of the
transition parameters on the modulation parameters are derived for high and low
frequency modulations. For an intermediate frequency modulation, we find the
resonance between the periodic modulation and nonlinear Rabi oscillation
dramatically affects the tunnelling dynamics and demonstrate many novel
phenomena. Finally, we study the effects of many-body quantum fluctuation on
self-trapping and discuss the possible experimental realization of the model.Comment: 7 pages, 11 figure
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