Entropic Fluctuation Theorems for the Spin-Fermion Model
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866917279855280128 |
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| author | Benoist, Tristan Bruneau, Laurent Jakšić, Vojkan Panati, Annalisa Pillet, Claude-Alain |
| author_facet | Benoist, Tristan Bruneau, Laurent Jakšić, Vojkan Panati, Annalisa Pillet, Claude-Alain |
| contents | We study entropic fluctuations in the Spin-Fermion model describing an $N$-level quantum system coupled to several independent thermal free Fermi gas reservoirs. We establish the quantum Evans-Searles and Gallavotti-Cohen fluctuation theorems and identify their link with entropic ancilla state tomography and quantum phase space contraction of non-equilibrium steady state. The method of proof involves the spectral resonance theory of quantum transfer operators developed by the authors in previous works. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_14841 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Entropic Fluctuation Theorems for the Spin-Fermion Model Benoist, Tristan Bruneau, Laurent Jakšić, Vojkan Panati, Annalisa Pillet, Claude-Alain Mathematical Physics We study entropic fluctuations in the Spin-Fermion model describing an $N$-level quantum system coupled to several independent thermal free Fermi gas reservoirs. We establish the quantum Evans-Searles and Gallavotti-Cohen fluctuation theorems and identify their link with entropic ancilla state tomography and quantum phase space contraction of non-equilibrium steady state. The method of proof involves the spectral resonance theory of quantum transfer operators developed by the authors in previous works. |
| title | Entropic Fluctuation Theorems for the Spin-Fermion Model |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2411.14841 |