Broken Detailed Balance and Entropy Production in CPTP Quantum Brownian Motion
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arXiv
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| Autores principales: | , , , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866915910914146304 |
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| author | Artini, Simone Monaco, Gabriele Lo Imparato, Alberto Paternostro, Mauro Donadi, Sandro |
| author_facet | Artini, Simone Monaco, Gabriele Lo Imparato, Alberto Paternostro, Mauro Donadi, Sandro |
| contents | We rigorously analyze the non-equilibrium thermodynamic behavior of various formulations of quantum Brownian motion (QBM) using the framework of stochastic thermodynamics. While the widely used Caldeira-Leggett master equation exhibits desirable thermodynamic features, such as the fulfilment of a detailed balance, it fails to ensure complete positivity. In contrast, several completely positive and trace-preserving (CPTP) extensions turn out to be thermodynamically controversial. We show that such extensions introduce anomalous phase-space structures that violate detailed balance at the steady state, leading to non-vanishing entropy production and effective non-equilibrium current of unclear physical origins. Our results highlight a fundamental tension between quantum consistency and thermodynamic equilibration in open quantum systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_23322 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Broken Detailed Balance and Entropy Production in CPTP Quantum Brownian Motion Artini, Simone Monaco, Gabriele Lo Imparato, Alberto Paternostro, Mauro Donadi, Sandro Quantum Physics Statistical Mechanics We rigorously analyze the non-equilibrium thermodynamic behavior of various formulations of quantum Brownian motion (QBM) using the framework of stochastic thermodynamics. While the widely used Caldeira-Leggett master equation exhibits desirable thermodynamic features, such as the fulfilment of a detailed balance, it fails to ensure complete positivity. In contrast, several completely positive and trace-preserving (CPTP) extensions turn out to be thermodynamically controversial. We show that such extensions introduce anomalous phase-space structures that violate detailed balance at the steady state, leading to non-vanishing entropy production and effective non-equilibrium current of unclear physical origins. Our results highlight a fundamental tension between quantum consistency and thermodynamic equilibration in open quantum systems. |
| title | Broken Detailed Balance and Entropy Production in CPTP Quantum Brownian Motion |
| topic | Quantum Physics Statistical Mechanics |
| url | https://arxiv.org/abs/2507.23322 |