A Numerical Approach to Non-Equilibrium Quantum Thermodynamics: Non-Perturbative Treatment of the Driven Resonant Level Model based on the Driven Liouville von-Neumann Formalism

TL;DR

This paper introduces a numerical method for analyzing non-equilibrium quantum thermodynamics in open systems, specifically the driven resonant level model, enabling exploration of regimes previously inaccessible to analytical approaches.

Contribution

The paper develops a non-perturbative numerical approach based on the driven Liouville von-Neumann formalism, validated against analytical results, and extends analysis to far-from-equilibrium conditions.

Findings

Validated the numerical approach against analytical results.

Studied thermodynamics under finite level shift rates.

Enabled exploration of new non-equilibrium regimes.

Abstract

Non-equilibrium thermodynamics of the driven resonant level model is studied using numerical simulations based on the driven Liouville von-Neumann formalism. The approach is first validated against recently obtained analytical results for quasi-static level shifts and the corresponding first order corrections. The numerical approach is then used to study far-from-equilibrium thermodynamic properties of the system under finite level shift rates. The proposed methodology allows the study of unexplored non-equilibrium thermodynamic regimes in open quantum systems.