Quantum stochastic thermodynamics in the mesoscopic-leads formulation

Fuente: arXiv
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Autori principali: Bettmann, Laetitia P., Kewming, Michael J., Landi, Gabriel T., Goold, John, Mitchison, Mark T.
Natura: Preprint
Pubblicazione: 2024
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author Bettmann, Laetitia P.
Kewming, Michael J.
Landi, Gabriel T.
Goold, John
Mitchison, Mark T.
author_facet Bettmann, Laetitia P.
Kewming, Michael J.
Landi, Gabriel T.
Goold, John
Mitchison, Mark T.
contents We introduce a numerical method to sample the distributions of charge, heat, and entropy production in open quantum systems coupled strongly to macroscopic reservoirs, with both temporal and energy resolution and beyond the linear-response regime. Our method exploits the mesoscopic-leads formulation, where macroscopic reservoirs are modeled by a finite collection of modes that are continuously damped toward thermal equilibrium by an appropriate Gorini-Kossakowski-Sudarshan-Lindblad master equation. Focussing on non-interacting fermionic systems, we access the time-resolved full counting statistics through a trajectory unraveling of the master equation. We show that the integral fluctuation theorems for the total entropy production, as well as the martingale and uncertainty entropy production, hold. Furthermore, we investigate the fluctuations of the dissipated heat in finite-time information erasure. Conceptually, our approach extends the continuous-time trajectory description of quantum stochastic thermodynamics beyond the regime of weak system-environment coupling.
format Preprint
id arxiv_https___arxiv_org_abs_2404_06426
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Quantum stochastic thermodynamics in the mesoscopic-leads formulation
Bettmann, Laetitia P.
Kewming, Michael J.
Landi, Gabriel T.
Goold, John
Mitchison, Mark T.
Quantum Physics
Mesoscale and Nanoscale Physics
Statistical Mechanics
We introduce a numerical method to sample the distributions of charge, heat, and entropy production in open quantum systems coupled strongly to macroscopic reservoirs, with both temporal and energy resolution and beyond the linear-response regime. Our method exploits the mesoscopic-leads formulation, where macroscopic reservoirs are modeled by a finite collection of modes that are continuously damped toward thermal equilibrium by an appropriate Gorini-Kossakowski-Sudarshan-Lindblad master equation. Focussing on non-interacting fermionic systems, we access the time-resolved full counting statistics through a trajectory unraveling of the master equation. We show that the integral fluctuation theorems for the total entropy production, as well as the martingale and uncertainty entropy production, hold. Furthermore, we investigate the fluctuations of the dissipated heat in finite-time information erasure. Conceptually, our approach extends the continuous-time trajectory description of quantum stochastic thermodynamics beyond the regime of weak system-environment coupling.
title Quantum stochastic thermodynamics in the mesoscopic-leads formulation
topic Quantum Physics
Mesoscale and Nanoscale Physics
Statistical Mechanics
url https://arxiv.org/abs/2404.06426