Luttinger liquid coupled to Bose-Einstein condensation reservoirs

TL;DR

This paper studies how a Luttinger liquid's transport properties are affected when coupled to Bose-Einstein condensation reservoirs, revealing how interactions and reservoir parameters influence resonant transmission peaks.

Contribution

It introduces a novel analysis of a Luttinger liquid coupled to BEC reservoirs, linking cold atom control with low-dimensional boson transport physics.

Findings

Resonant peak spacing depends on bosonic interaction strengths.

Peak sharpness is influenced by Rabi frequency and phase.

The system bridges cold atom physics and condensed matter transport.

Abstract

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.