Bose-Einstein Condensate in a Non-abelian Gauge Potential

We studied a Bose-Einstein condensate in two different types of non-abelian gauge potential. One corresponds to an isotropic Rashba spin-orbit coupling, and the other corresponds to highly anisotropic spin-orbit coupling realized in recent NIST experiment. In both cases, we find the system will develop spin stripes in certain parameters regimes, and will exhibit spin-stripe to plane wave phase transition as parameters change.