Effects of Spin-orbit-coupling-induced Resonance in Ultracold Bosonic Systems

We calculate renormalized two-body interactions using T-matrix method, which is the sum of all orders of ladder diagrams in the bare basis. Apart from corrections to three types of diagonal interactions, there emerge many off-diagonal ones. We interpret the divergence of T-matrix as SOC-induced resonance, with the aid of which, the contrast of density modulation in stripe phase in Rb87 can be enhanced by ten times of its original value and wavelength enlarged by two times so that the stripe phase may be observed directly with conventional absorption image technique. Besides SOC-induced resonance, we also recalculate the critical value for Stripe-Plane wave transiton which is shifted by a small value. Finally, we find the correction to the density profile when Raman coupling Ω>4E_r.