Luttinger liquid coupled to Bose-Einstein condensation reservoirs

We investigate the transport properties for a Luttinger liquid coupled to two identical Bose-Einstein condensation reservoirs. Using the approach of equation of motion for the Green function of the system, we find that the distance between the two resonant transmission probability peaks of the system is determined by the bosonic interaction strengths, and the sharpness of these resonant peaks is mainly determined by the Rabi frequency and phase of the Bose-Einstein condensation reservoir. These results for the proposed system involving a Luttinger liquid may build a bridge between the controling transport properties of cold atom in atom physics and the interacting boson transport in low-dimensional condensed matter physics.