# Thermal conductance of a two-level atom coupled to two quantum harmonic oscillators

## TL;DR

This paper investigates the thermal conductance of a quantum system comprising a two-level atom and two harmonic oscillators, revealing how conductance depends on coupling strength and temperature.

## Contribution

It introduces a combined quantum Fokker-Planck-Kramers and Lindblad approach to calculate thermal conductance in this quantum setup, focusing on small coupling regimes.

## Key findings

- Conductance is proportional to the square of the coupling constant.
- At high temperatures, conductance inversely depends on temperature.
- Both methods yield consistent results for the conductance behavior.

## Abstract

We have determined the thermal conductance of a system consisting of a two-level atom coupled to two quantum harmonic oscillators in contact with heat reservoirs at distinct temperatures. The calculation of the heat flux as well as the atomic population and the rate of entropy production are obtained by the use of a quantum Fokker-Planck-Kramers equation and by a Lindblad master equation. The calculations are performed for small values of the coupling constant. The results coming from both approaches show that the conductance is proportional to the coupling constant squared and that, at high temperatures, it is proportional to the inverse of temperature.