Quantum stochastic thermodynamics: A semiclassical theory in phase space
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2023
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| _version_ | 1866910754411642880 |
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| author | Fei, Zhaoyu |
| author_facet | Fei, Zhaoyu |
| contents | A formalism for quantum many-body systems is proposed through a semiclassical treatment in phase space, allowing us to establish a stochastic thermodynamics incorporating quantum statistics. Specifically, we utilize a stochastic Fokker-Planck equation as the dynamics at the mesoscopic level. Here, the noise term characterizing the fluctuation of the flux density accounts for the finite-$N$ effects of random collisions between the system and the reservoir. Accordingly, the stationary solution is a quasi-equilibrium state in a canonical system. We define stochastic thermodynamic quantities based on the trajectories of the phase-space distribution. The conservation law of energy, $H$ theorem and fluctuation theorems are therefore obtained. Our work sets an alternative formalism of quantum stochastic thermodynamics that is independent of the two-point measurement scheme. The numerous projective measurements of quantum systems are replaced by the sampling of the phase-space distribution, offering hope for experimental verifications in the future. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_05935 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Quantum stochastic thermodynamics: A semiclassical theory in phase space Fei, Zhaoyu Statistical Mechanics Quantum Physics A formalism for quantum many-body systems is proposed through a semiclassical treatment in phase space, allowing us to establish a stochastic thermodynamics incorporating quantum statistics. Specifically, we utilize a stochastic Fokker-Planck equation as the dynamics at the mesoscopic level. Here, the noise term characterizing the fluctuation of the flux density accounts for the finite-$N$ effects of random collisions between the system and the reservoir. Accordingly, the stationary solution is a quasi-equilibrium state in a canonical system. We define stochastic thermodynamic quantities based on the trajectories of the phase-space distribution. The conservation law of energy, $H$ theorem and fluctuation theorems are therefore obtained. Our work sets an alternative formalism of quantum stochastic thermodynamics that is independent of the two-point measurement scheme. The numerous projective measurements of quantum systems are replaced by the sampling of the phase-space distribution, offering hope for experimental verifications in the future. |
| title | Quantum stochastic thermodynamics: A semiclassical theory in phase space |
| topic | Statistical Mechanics Quantum Physics |
| url | https://arxiv.org/abs/2303.05935 |