Numerical study of non-adiabatic quantum thermodynamics of the driven resonant level model: Non-equilibrium entropy production and higher order corrections

TL;DR

This paper numerically investigates non-adiabatic quantum thermodynamics in a driven resonant level model, focusing on entropy production and higher order corrections under non-equilibrium conditions.

Contribution

It introduces a numerical approach to compute non-adiabatic thermodynamic quantities using a series expansion in the driving speed, extending previous work.

Findings

Non-equilibrium entropy production rate calculated.

Higher order non-adiabatic corrections determined.

Results consistent with quantum master equation in weak coupling limit.

Abstract

We present our numerical study on quantum thermodynamics of the resonant level model subjected to non-equilibrium condition as well as external driving. Following our previous work on non-equilibrium quantum thermodynamics (Phys. Rev. B 101, 184304 [2020]), we expand the density operator into a series of power in the driving speed, where we can determine the non-adiabatic thermodynamic quantities. Particularly, we calculate the non-equilibrium entropy production rate as well as higher order non-adiabatic corrections to the energy and/or population. In the limit of weak system-bath coupling, our results reduce to the one from the quantum master equation.