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We proposed and demonstrated a new approach for realizing spin orbit couplingwith ultracold atoms. We use orbital levels in a double well potential aspseudospin states. Two-photon Raman transitions between left and right wellsinduce spin-orbit coupling. This scheme does not require near resonant light,features adjustable interactions by shaping the double well potential, and doesnot depend on special properties of the atoms. A pseudospinor Bose-Einsteincondensate spontaneously acquires an antiferromagnetic pseudospin texture whichbreaks the lattice symmetry similar to a supersolid.

Spin-Orbit Coupling and Spin Textures in Optical Superlattices