Entropy from scattering in weakly interacting systems
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866908519641382912 |
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| author | MacIntyre, Duncan Semenoff, Gordon W. |
| author_facet | MacIntyre, Duncan Semenoff, Gordon W. |
| contents | Perturbation theory is used to investigate the evolution of the von Neumann entropy of a subsystem of a bipartite quantum system under the action of a unitary matrix, in the limit where that matrix is close to the unit matrix. The physical context for such process would be scattering with weak short-ranged interactions where the unitary matrix is the S matrix. We find surprisingly simple criteria for the initial state and the S matrix that guarantee that the subsystem entropy increases. The class of initial states that meet these criteria are more correlated than simple product states of the subsystems. They form a subclass of the set of all separable states, and they can therefore be assembled by classical processes alone. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_19127 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Entropy from scattering in weakly interacting systems MacIntyre, Duncan Semenoff, Gordon W. Quantum Physics Other Condensed Matter High Energy Physics - Theory Mathematical Physics Perturbation theory is used to investigate the evolution of the von Neumann entropy of a subsystem of a bipartite quantum system under the action of a unitary matrix, in the limit where that matrix is close to the unit matrix. The physical context for such process would be scattering with weak short-ranged interactions where the unitary matrix is the S matrix. We find surprisingly simple criteria for the initial state and the S matrix that guarantee that the subsystem entropy increases. The class of initial states that meet these criteria are more correlated than simple product states of the subsystems. They form a subclass of the set of all separable states, and they can therefore be assembled by classical processes alone. |
| title | Entropy from scattering in weakly interacting systems |
| topic | Quantum Physics Other Condensed Matter High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2506.19127 |