Strong-damping limit of quantum Brownian motion in a disordered environment
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866929734507560960 |
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| author | Faria, Arthur M. Bonanca, Marcus V. S. Lutz, Eric |
| author_facet | Faria, Arthur M. Bonanca, Marcus V. S. Lutz, Eric |
| contents | We consider a microscopic model of an inhomogeneous environment where an arbitrary quantum system is locally coupled to a harmonic bath via a finite-range interaction. We show that in the overdamped regime the position distribution obeys a classical Kramers-Moyal equation that involves an infinite number of higher derivatives, implying that the finite bath correlation length leads to non-Gaussian Markovian noise. We analytically solve the equation for a harmonically bound particle and analyze its non-Gaussian diffusion as well as its steady-state properties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_20174 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Strong-damping limit of quantum Brownian motion in a disordered environment Faria, Arthur M. Bonanca, Marcus V. S. Lutz, Eric Statistical Mechanics We consider a microscopic model of an inhomogeneous environment where an arbitrary quantum system is locally coupled to a harmonic bath via a finite-range interaction. We show that in the overdamped regime the position distribution obeys a classical Kramers-Moyal equation that involves an infinite number of higher derivatives, implying that the finite bath correlation length leads to non-Gaussian Markovian noise. We analytically solve the equation for a harmonically bound particle and analyze its non-Gaussian diffusion as well as its steady-state properties. |
| title | Strong-damping limit of quantum Brownian motion in a disordered environment |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2502.20174 |