Ground State Properties of Spin-Orbit Coupled Bose Gases for Arbitrary   Interactions
  We develop a field integral formalism to study spin-orbit-coupled (SOC) Bose gases with arbitrary interspecies interaction. We identify various features arising from the interplay of SOC and interspecies interaction, including a roton minimum in the excitation spectrum and dual effects of SOC on ground-state energies depending on interspecies interactions. Counterintuitively, we find that at low interspecies interaction the SOC stabilizes the system by suppressing the quantum depletion. We show that the static structure factor is immune to the SOC in the phase space where time-reversal symmetry is preserved. Furthermore, we present an alternate way of studying phase fluctuations of the system. 
Renyuan Liao, Zhi-Gao Huang, Xiu-Min Lin, and Wu-Ming Liu
cond-mat.quant-gas cond-mat.str-el