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We consider interacting bosons in a 2D square and a 3D cubic optical latticewith a periodic modulation of the s-wave scattering length. At first we map theunderlying periodically driven Bose-Hubbard model for large enough drivingfrequencies approximately to an effective time-independent Hamiltonian with aconditional hopping. Combining different analytical approaches with quantumMonte Carlo simulations then reveals that the superfluid-Mott insulator quantumphase transition still exists despite the periodic driving and that thelocation of the quantum phase boundary turns out to depend quite sensitively onthe driving amplitude. A more detailed quantitative analysis shows even thatthe effect of driving can be described within the usual Bose-Hubbard modelprovided that the hopping is rescaled appropriately with the driving amplitude.This finding indicates that the Bose-Hubbard model with a periodically drivens-wave scattering length and the usual Bose-Hubbard model belong to the sameuniversality class from the point of view of critical phenomena.

Tuning the Quantum Phase Transition of Bosons in Optical Lattices via Periodic Modulation of s-Wave Scattering Length