Cold bosons in the Landauer setup

TL;DR

This paper investigates thermal transport and Green functions of cold bosons in a one-dimensional Landauer setup, revealing how bosonic statistics induce Luttinger liquid behavior with suppressed thermal current at low temperatures.

Contribution

It introduces a model for cold bosons in a Landauer setup and analyzes the effects of bosonic statistics on thermal current and Green functions, highlighting Luttinger liquid features.

Findings

Thermal current is suppressed at low temperatures due to bosonic statistics.

Bosonic Green functions exhibit signatures of Luttinger liquid behavior.

Non-linear spectrum of collective modes influences transport properties.

Abstract

We consider one dimensional potential trap that connects two reservoirs containing cold Bose atoms. The thermal current and single-particle bosonic Green functions are calculated under non-equilibrium conditions. The bosonic statistics leads to Luttinger liquid state with non-linear spectrum of collective modes. This results in suppression of thermal current at low temperatures and affects the single-particle Green functions.