Spin-orbit-coupled Bose-Einstein condensates in radially periodic potentials

We consider a pseudospin-1/2 Bose-Einstein condensate with Rashba type of spin-orbit coupling and trapped in radially periodic potentials. The effects of spin-orbit coupling, amplitude of the lattice potential, and contact interaction, on the ground-state phases of the system are investigated numerically for two different types of radial lattices, i.e., with phase constant δ = 0 and π. We show that the system has a rich variety of ground-state phases, showing strong dependence on these controllable parameters. In addition, we find that for both types of radial lattices, such parameters can be used to induce desirable ground-state structures. (author)