Analytical results for the superflow of spin-orbit-coupled Bose-Einstein condensates in optical lattices

Integer and Fractional Floquet Resonances in a Driven Three-Well System

“…Floquet resonance in a periodically driven field is of fundamental importance in quantum control and manipulation in which periodic driving [1][2][3][4] has emerged as a technique to realize different applications, for instance, in population trapping [5], quantum phase transition [6,7], atomic transportation [8,9] and quantum information processing [10,11]. Among various models, the paradigmatic two-level and there-level systems, e.g., Rydberg-excited atoms [12], Bose-Einstein condensate (BEC) [13][14][15], coupled waveguide arrays [16,17] and Dirac electrons [18], have been intensively investigated and exhibit interesting effects including dynamical localization [19], coherent destruction of tunneling (CDT) [20,21] and photo-assisted tunneling (PAT) [22]. Recently, dynamics of monolayer graphene in a time-periodic potential are widely studied in the framework of the Floquet approach and exhibit a number of novel quantum effects [23] such as photon-induced tunneling of electrons [24], chiral tunneling [25], Floquet scatting [26] and voltage-driven quantum oscillations [27].…”