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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2510.07402 |
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| _version_ | 1866908583454572544 |
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| author | Panella, Emanuele |
| author_facet | Panella, Emanuele |
| contents | The dynamics of hybrid systems -- i.e. ones in which classical and quantum degrees of freedom co-exist and interact -- feature both diffusion in the classical sector and decoherence in the quantum state. In this article, we will consider the simple setup of a classical damped oscillator interacting with its quantum counterpart and show that, for any initial state, the dynamics flows to a unique (non-equilibrium) steady state, which we compute explicitly. To do so, we make use of a useful mapping between hybrid and classical diffusive dynamics, which we characterise in detail in the master equation formalism. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_07402 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Classical-quantum oscillators as diffusive processes in phase space Panella, Emanuele Quantum Physics Statistical Mechanics The dynamics of hybrid systems -- i.e. ones in which classical and quantum degrees of freedom co-exist and interact -- feature both diffusion in the classical sector and decoherence in the quantum state. In this article, we will consider the simple setup of a classical damped oscillator interacting with its quantum counterpart and show that, for any initial state, the dynamics flows to a unique (non-equilibrium) steady state, which we compute explicitly. To do so, we make use of a useful mapping between hybrid and classical diffusive dynamics, which we characterise in detail in the master equation formalism. |
| title | Classical-quantum oscillators as diffusive processes in phase space |
| topic | Quantum Physics Statistical Mechanics |
| url | https://arxiv.org/abs/2510.07402 |