The population transfer and superflow associated with the spatiotemporal Bloch states for a high-frequency driven spin-orbit coupled Bose-Einstein condensate

In this paper, we give the normal and abnormal Bloch states at the Brillouin zone edge to a spin-orbit (SO) coupled Bose-Einstein condensate (BEC) with a high-frequency driving and confined in a periodic lattice. The generation of the spatiotemporal Bloch states and the associated the population transfer and the superflow are studied. We find that Rabi coupling strength can enhance or reduce the population transfer between two BEC components for the obtained Bloch states. In addition, we can realize the transition between superfluid state and critical balance state by adjusting system parameters, which could be helpful to the quantum transport of the SO coupled cold-atom system.