We investigate theoretically the ground states of Bose-Einstein condensates with Rashba spin-orbit coupling in optical lattices within mean-field framework. We obtain numerically the Bloch states and energy spectrum for the single particle Hamiltonian, meanwhile the analytical solution of Bloch states is also presented. For a spin-orbit coupling Bose-Einstein condensates with a weak interaction, we show the existence of the vortex-antivortex-pair lattices state by simulating the Gross-Pitaevskii equation.
All Science Journal Classification (ASJC) codes
- Atomic and Molecular Physics, and Optics
- Materials Science(all)
- Condensed Matter Physics