SU(3) Spin-Orbit Coupled Rotating Bose-Einstein Condensate Subject to a Gradient Magnetic Field

We consider a harmonically trapped rotating spin-1 Bose-Einstein condensate with SU(3) spin-orbit coupling subject to a gradient magnetic field. The effects of SU(3) spin-orbit coupling, rotation, and gradient magnetic field on the ground-state structure of the system are investigated in detail. Our results show that the interplay among SU(3) spin-orbit coupling, rotation, and gradient magnetic field can result in a variety of ground states, such as a vortex ring and clover-type structure. The numerical results agree well with our variational analysis results.