Tunneling dynamics between two-component Bose-Einstein condensates

We present a mean-field model to study the tunneling dynamics between initially separated two-component Bose condensates in a time-dependent double-well potential. We solve the model in terms of a completely numerical procedure. In contrast to the usual Josephson effect between two coherently separated single-component condensates, we find that this system sustains a macroscopic quantum self-trapping even for sufficiently weak interatomic interactions and small initial population imbalance far below the critical value