Two-Time Measurement of Entropy Transfer in Markovian Quantum Dynamics
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| author | Joye, A. Pillet, C. -A. |
| author_facet | Joye, A. Pillet, C. -A. |
| contents | We consider a protocol for the two-time measurement of entropic observables in quantum open systems driven out of thermal equilibrium by coupling to several heat baths. We concentrate on the Markovian approximation of the time-evolution and relate the expected value of the so defined entropy variations with the well-known expression of entropy production due to Lebowitz and Spohn. We do so under the detailed balance condition and, as a byproduct, we show that the probabilities of outcomes of two-time measurements are given by a continuous time Markov process determined by the Lindblad generator of the Markovian quantum dynamics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_12231 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Two-Time Measurement of Entropy Transfer in Markovian Quantum Dynamics Joye, A. Pillet, C. -A. Mathematical Physics Quantum Physics 81P15, 81P17 We consider a protocol for the two-time measurement of entropic observables in quantum open systems driven out of thermal equilibrium by coupling to several heat baths. We concentrate on the Markovian approximation of the time-evolution and relate the expected value of the so defined entropy variations with the well-known expression of entropy production due to Lebowitz and Spohn. We do so under the detailed balance condition and, as a byproduct, we show that the probabilities of outcomes of two-time measurements are given by a continuous time Markov process determined by the Lindblad generator of the Markovian quantum dynamics. |
| title | Two-Time Measurement of Entropy Transfer in Markovian Quantum Dynamics |
| topic | Mathematical Physics Quantum Physics 81P15, 81P17 |
| url | https://arxiv.org/abs/2408.12231 |