Coherent control via interplay between driving field and two-body interaction in a double well

We investigate interplay between external field and interatomic interaction and its applications to coherent control of quantum tunneling for two repulsive bosons confined in a high-frequency driven double well. By using a full solution which is generated analytically as a coherent non-Floquet state, three kinds of the stationary-like states (SLSs) with different degeneracies are illustrated, which corresponding to the different coherent destructions of tunneling (CDT) at the Floquet level-crossing, avoided-crossing and uncrossing points. The analytical results are numerically confirmed and perfect agreements are found. Based on the results, a useful scheme of quantum tunneling switch between the SLSs is presented.