Quadratic Hamiltonian approach to heat transport in fermionic systems

2025/06/19 by Mäkinen, Ilari K., Khaymovich, Ivan M., Pekola, Jukka P.
#FOS: Physical sciences #Quantum Physics (quant-ph)

paper · doi:10.48550/arxiv.2506.16122

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.

Citations

• Electromagnetic Simulation and Microwave Circuit Approach of Heat Transport in Superconducting Qubits
• Diffusive Operator Spreading for Random Unitary Free Fermion Circuits
• Heat rectification via a superconducting artificial atom
• Calculation of reduced density matrices from correlation functions
• Chaos and Quantum Thermalization
• Quantum statistical mechanics in a closed system

Related

• Current and quantum transport factor of fermionic system in fermionic bath
• Quantum heat transport: Perturbation theory in Liouville space
• Thermodynamics of Mesoscopic Quantum Systems
• Optimal qubit-mediated quantum heat transfer via noncommuting operators and strong coupling effects
• A simplified characteristic functions of quantum heat