Abstract
We study the ground-state phases of two-dimensional spin–orbit coupled spin-2 Bose–Einstein condensates in a one-dimensional spin-dependent optical lattice. Due to the competition among optical lattice, spin–orbit coupling and spin-exchange interaction, the exotic ground-state phases are found, i.e. three types of the stripe phases and three types of the supersolid phases. The spin-exchange interaction can adjust the direction of the stripe in the stripe phase and generate various vortex lattice structures in the supersolid phase, which shows that the spin-exchange interaction plays an important role in the formation of the stripe and supersolid phases of spin–orbit coupled spin-2 Bose–Einstein condensates in an optical lattice.
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