Self-Trapping of Two Bose--Einstein Condensates with a Coupling Drive

We present an approximate analytical solution to the population imbalance of two-component Bose--Einstein condensate with the coupling drive. The dependence of the time evolution of self-trapping upon the radio frequency wave, the Rabi coupling frequency, the initial atom number and relative phase between two condensates are investigated. The lower radio frequency wave, the same atom number and initial relative phase between condensates are beneficial to observe the self-trapping.