Chaoticity-Dependent Atomic Transport of a Spin-Orbit Coupled Bose-Einstein Condensate

We study the chaoticity-dependent atomic transport of a spin-orbit (SO) coupled Bose-Einstein condensate (BEC) held in an optical superlattice. Considering the phase synchronization between the motional states, we obtain the chaotic perturbed solution and the current density-related chaos parameter regions by using the analytical Melnikov’s chaos criterion. We analytically demonstrate that the area of high-chaoticity region enlarges as the decrease of current density J 1 . Then we numerically generate the Poincaré sections to pinpoint that the chaos probability is enhanced with the decrease of the current components and the large current component J 2 results in the zero chaoticity. The insensitivity of the chaoticity to some ranges of initial conditions and the influence of chemical potential on chaoticity are also investigated. These results reveal a feasible scheme to control the regular and chaotic states by adjusting the parameters and initial condition.