Rabi-coupled Binary Bose-Einstein Condensates with Spatially Modulated Nonlinear Spin-Orbit Coupling

We study the ground-state phases of Rabi-coupled two-component Bose-Einstein condensates with rotation and spatially modulated nonlinear spin-orbit coupling. The spin-orbit coupling and Rabi coupling play important roles on the ground-state phases with the fixed rotation, however, they have the opposite effects on the generation of vortex. When the system without Rabi coupling, spin-orbit coupling can improve the generation of vortex. The vortex chain with regular pattern appears with strong spin-orbit coupling. Considering the Rabi coupling, the number of vortices is inhibited by the Rabi coupling with the fixed spin-orbit coupling and rotation strengths. The ground-state phase diagram spanned by the SOC strength and Rabi coupling with rotation is presented, the non-vortex phase, single-vortex phase and multi-vortex phase are classified. The spin textures of the ground-state phases are also discussed.