Quadratic Hamiltonian approach to heat transport in fermionic systems

TL;DR

This paper introduces an efficient numerical method using quadratic fermionic systems and the Peschel trick to analyze quantum heat transport, demonstrated on a single mode heat valve with comparisons to analytical results.

Contribution

The paper develops a systematic and efficient numerical approach for modeling quantum heat transport in fermionic systems, validated against analytical formulas.

Findings

The numerical method accurately describes the quantum heat valve system.

Comparison with analytical formulas confirms the method's validity.

Systematic analysis identifies optimal configurations for heat transport simulation.

Abstract

We investigate the problem of quantum heat transport, based on the quadratic fermionic systems with help of the Peschel trick of single-particle correlation functions. The efficient numerical method is applied to the particular case of a single mode heat valve and the results are compared to analytical formulae. Comparing several configurations and parameters we perform the systematic analysis of the method to most efficiently and accurately describe the simple quantum heat valve system.