Periodically modulated interaction of two species Bosons on the optical lattice

Systems far away from non-equilibrium show interesting new phenomena. In this work, we propose to generate a periodically driven system of two species of bosons on a one-dimensional optical lattice by modulating the magnetic field nearby Feshbach resonance. We further investigate properties of this system by various numerical methods. Surprisingly, at zero-temperature we found the driving is not always suppressing the superfluid order; instead it can abnormally enhance the order in a specific parameter region. In other regions, the driving can induce a new kind of superfluid order because of the cooperation of particles and gauge phases. The results are consistent with a rigorous solution at an integrable point. We also discuss the behavior at finite temperatures.