Weyl type spin–orbit coupled ferromagnetic Bose–Einstein condensates under rotation
Highlights: Spinor Bose–Einstein condensates with Weyl type spin–orbit coupling and rotation are considered. Different topological patterns are obtained in the full parameter space. Effects of spin-independent and spin-dependent interactions on the ground state are also discussed. -- Abstract: We investigate the ground state of ferromagnetic Bose–Einstein condensates with Weyl type spin–orbit coupling and rotation. When the spin–orbit coupling is strong, the ground state of the system exhibits square lattice phase for the non-rotation case, while two half-skyrmion chains can occur, which is perpendicular to each other, for the rotation case. For the weak spin–orbit coupling case, half-skyrmion displays the symmetrical arrangement around Mermin–Ho vortex at the center of condensates as the rotation frequency is increased. Moreover, the effects of spin-independent and spin-dependent interactions on the ground state are also studied.