Entropy production in the mesoscopic-leads formulation of quantum thermodynamics
| Autor: | Lacerda, Artur M., Kewming, Michael J., Brenes, Marlon, Jackson, Conor, Clark, Stephen R., Mitchison, Mark T., Goold, John |
|---|---|
| Rok vydání: | 2023 |
| Předmět: | |
| Zdroj: | Phys. Rev. E 110, 014125 (2024) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevE.110.014125 |
| Popis: | Understanding the entropy production of systems strongly coupled to thermal baths is a core problem of both quantum thermodynamics and mesoscopic physics. While there exist many techniques to accurately study entropy production in such systems, they typically require a microscopic description of the baths, which can become numerically intractable to study for large systems. Alternatively an open-systems approach can be employed with all the nuances associated with various levels of approximation. Recently, the mesoscopic leads approach has emerged as a powerful method for studying such quantum systems strongly coupled to multiple thermal baths. In this method, a set of discretised lead modes, each locally damped, provide a Markovian embedding. Here we show that this method proves extremely useful to describe entropy production of a strongly coupled open quantum system. We show numerically, for both non-interacting and interacting setups, that a system coupled to a single bath exhibits a thermal fixed point at the level of the embedding. This allows us to use various results from the thermodynamics of quantum dynamical semi-groups to infer the non-equilibrium thermodynamics of the strongly coupled, non-Markovian central systems. In particular, we show that the entropy production in the transient regime recovers the well established microscopic definitions of entropy production with a correction that can be computed explicitly for both the single- and multiple-lead cases. Comment: 11 pages, 6 figures. Final author version |
| Databáze: | arXiv |
| Externí odkaz: |
|