Properties of Bose gases with the Raman-induced spin–orbit coupling

Abstract

In this paper we investigate the properties of Bose gases with Raman-induced\nspin-orbit(SO) coupling. It is found that the SO coupling can greatly modify\nthe single particle density-of-state, and thus lead to non-monotonic behavior\nof the condensate depletion, the Lee-Huang-Yang correction of ground-state\nenergy and the transition temperature of a non-interacting Bose-Einstein\ncondensate. The presence of the SO coupling also breaks the Galilean\ninvariance, and this gives two different critical velocities, corresponding to\nthe movement of the condensate and the impurity respectively. Finally, we show\nthat with SO coupling, the interactions modify the BEC transition temperature\neven at Hartree-Fock level, in contrast to the ordinary Bose gas without SO\ncoupling. All results presented here can be directly verified in the current\ncold atom experiments using Raman laser-induced gauge field.\n