Controlling particle current in a many-body quantum system by external driving

We propose a method to control the particle current of a one-dimensional quantum system by resonating two many-body states through an external driving field. We consider the Bose-Hubbard and spinless Fermi-Hubbard models with the Peierls phase which induces net particle currents in the many-body eigenstates. A driving field couples the ground state with one of the excited states having large net currents, enabling us to control the system's current via Rabi oscillation. Employing the Floquet analysis, we find that the resonate excited states are determined by the symmetry of the driving field, which allows us to selectively excite only certain states among the dense spectrum of a many-body quantum system.