2019
DOI: 10.48550/arxiv.1910.02436
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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

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“…In the fermionic setting, a rigorous proof of equivalence between continuum baths and mesoscopic reservoirs comprising damped modes is not yet available. Nevertheless, such mesoscopic reservoirs have been used quite extensively for studying transport in non-interacting systems [36,[48][49][50][51][52], including under time-dependent driving fields [53]. For interacting systems, a mesoscopic-reservoir description was recently applied to study particle transport and Kondo phenomena in impurity models [54,55], while a related approach to simulating non-equilibrium many-body problems via an auxiliary master equation has been reported [56,57].…”
Section: Introductionmentioning
confidence: 99%
“…In the fermionic setting, a rigorous proof of equivalence between continuum baths and mesoscopic reservoirs comprising damped modes is not yet available. Nevertheless, such mesoscopic reservoirs have been used quite extensively for studying transport in non-interacting systems [36,[48][49][50][51][52], including under time-dependent driving fields [53]. For interacting systems, a mesoscopic-reservoir description was recently applied to study particle transport and Kondo phenomena in impurity models [54,55], while a related approach to simulating non-equilibrium many-body problems via an auxiliary master equation has been reported [56,57].…”
Section: Introductionmentioning
confidence: 99%