Interference of bright solitons in harmonically trapped pseudo-spin polarization Bose-Einstein condensates

We study interference behaviors between spin-orbit-coupled Bose-Einstein condensates confined in a harmonic trap. By solving the coupled nonlinear Schrödinger equations in the real-time domain, interference properties of the pseudo-spin condensates are carefully investigated in different parameter regimes. We map out the role of the spin-orbit coupling, the energy detuning and relative phases during the collisions. It is also found that the spin-orbit coupling controls the population transfer between the condensates. The presentation of spin-orbit coupling enriches the dynamical process of the bright soliton interference.