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Non-equilibrium thermodynamics of the driven resonant level model is studiedusing numerical simulations based on the driven Liouville von-Neumannformalism. The approach is first validated against recently obtained analyticalresults for quasi-static level shifts and the corresponding first ordercorrections. The numerical approach is then used to study far-from-equilibriumthermodynamic properties of the system under finite level shift rates. Theproposed methodology allows the study of unexplored non-equilibriumthermodynamic regimes in open quantum systems.

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