Josephson junction of two-species Bose-Einstein condensates in a high-finesse optical cavity

The mean-field dynamics of undistinguishable two-species Bose Josephson junction coupled to a single mode high-finesse optical cavity is investigated. From the Hamiltonian, the phase portrait and the stationary points are given. It is shown that the role of the interspecies interaction equals the intraspecies interaction under suitable conditions. As the interspecies interaction increases, the trapped atoms will start tunneling between the two wells unnaturally for some special cases.