Onsager's regression hypothesis adjusted to quantum systems
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910529491042304 |
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| author | Reimann, Peter Eidecker-Dunkel, Christian |
| author_facet | Reimann, Peter Eidecker-Dunkel, Christian |
| contents | Onsager's regression hypothesis connects the temporal relaxation of close-to-equilibrium systems with their dynamical correlation functions at thermal equilibrium. While the hypothesis is provably correct in classical systems, it is known to fail in the quantum regime. Here, we derive a suitably adjusted quantum version of Onsager's original hypothesis. Rigorous analytical results are complemented by a variety of numerical examples. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_11711 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Onsager's regression hypothesis adjusted to quantum systems Reimann, Peter Eidecker-Dunkel, Christian Statistical Mechanics Onsager's regression hypothesis connects the temporal relaxation of close-to-equilibrium systems with their dynamical correlation functions at thermal equilibrium. While the hypothesis is provably correct in classical systems, it is known to fail in the quantum regime. Here, we derive a suitably adjusted quantum version of Onsager's original hypothesis. Rigorous analytical results are complemented by a variety of numerical examples. |
| title | Onsager's regression hypothesis adjusted to quantum systems |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2407.11711 |