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Two-Component Bose Gases with Raman induced Spin-Orbit Coupling
The remarkable realization of synthetic spin-orbit coupling in quantum gases is opening new perspectives in the study of many-body phenomena with ultracold atoms. In this talk, I present a perturbation approach to study the phase diagram of Raman coupled Bose gases at finite temperature. For weak Raman coupling, free energy is expanded in terms of Raman coupling strength up to the second order, where the coefficient is determined according to linear response theory. The equation of state for the stripe phase and the plane-wave phase are obtained in Popov approximation, and the first order transition between these two phases is investigated. As temperature increases, we find the phase boundary bends toward the stripe phase side in the most temperature region, which implies the ferromagnetic order is more robust than the crystalline order in presence of thermal fluctuations. This theoretical result qualitatively agrees with the recent experimental observation in rubidium atomic gases. A method to measure Raman susceptibility through the two-photon Bragg scattering experiment is also discussed.
Center for Gravtitational Experiments, School of Physics
Huazhong University of Science and Technology, 1037 Luoyu Road, Whuan, 430074, P. R. China.