Local field effect on Magneto-optical Feshbach Resonance

Magneto-optical Feshbach resonance (MOFR) technique is important for producing spatiotemporal tuning of atom–atom interaction with low loss. Due to the polarization, the optical field on every single atom is different from the incident light, referred to local field effect (LFE). In conventional MOFR theory, LFE is ignored. In this paper, we investigate the local field effect on MOFR. We calculate the refractive index of a mixed condensate consisting of two-level atoms and molecules tuned by MOFR and further investigate correction of LFE on the s-wave scattering length between atoms using Green's function approach. Consequently, the s-wave scattering length tuned by MOFR is position dependent. Moreover, self-organization of light and atoms, due to LFE, leads to a reduction of the atomic loss.