Davies equation without the secular approximation: Reconciling locality with quantum thermodynamics for open quadratic systems
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866910213442895872 |
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| author | Shiraishi, Koki Nakagawa, Masaya Mori, Takashi |
| author_facet | Shiraishi, Koki Nakagawa, Masaya Mori, Takashi |
| contents | We derive a thermodynamically consistent quantum master equation that satisfies locality for quadratic systems coupled to independent and identical baths at each site. We show that the quasi-local Redfield equation coincides exactly with the Davies equation, which satisfies the detailed-balance condition, due to cancellation of quantum coherence generated by each bath. This derivation does not rely on the secular approximation, which fails in systems with vanishing energy-level spacings. We discuss generalizations of our result to slowly driven quadratic systems and generic quantum many-body systems. Our result paves the way to a thermodynamically consistent description of quantum many-body systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_10080 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Davies equation without the secular approximation: Reconciling locality with quantum thermodynamics for open quadratic systems Shiraishi, Koki Nakagawa, Masaya Mori, Takashi Quantum Physics Statistical Mechanics We derive a thermodynamically consistent quantum master equation that satisfies locality for quadratic systems coupled to independent and identical baths at each site. We show that the quasi-local Redfield equation coincides exactly with the Davies equation, which satisfies the detailed-balance condition, due to cancellation of quantum coherence generated by each bath. This derivation does not rely on the secular approximation, which fails in systems with vanishing energy-level spacings. We discuss generalizations of our result to slowly driven quadratic systems and generic quantum many-body systems. Our result paves the way to a thermodynamically consistent description of quantum many-body systems. |
| title | Davies equation without the secular approximation: Reconciling locality with quantum thermodynamics for open quadratic systems |
| topic | Quantum Physics Statistical Mechanics |
| url | https://arxiv.org/abs/2507.10080 |