The response of a quantum system to a collision: an autonomous derivation of Kubo's formula
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866909792258228224 |
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| author | Jacob, Samuel L. Goold, John |
| author_facet | Jacob, Samuel L. Goold, John |
| contents | We study the response of a quantum system induced by a collision with a quantum particle, using the time-independent framework of scattering theory. After deriving the dynamical map for the quantum system, we show that it encodes a non-perturbative response function obeying a general fluctuation-dissipation relation. We show that Kubo's formula emerges autonomously in the Born approximation, where the time-dependent perturbation is determined by particle's evolution through the potential region. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_03686 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The response of a quantum system to a collision: an autonomous derivation of Kubo's formula Jacob, Samuel L. Goold, John Quantum Physics Statistical Mechanics We study the response of a quantum system induced by a collision with a quantum particle, using the time-independent framework of scattering theory. After deriving the dynamical map for the quantum system, we show that it encodes a non-perturbative response function obeying a general fluctuation-dissipation relation. We show that Kubo's formula emerges autonomously in the Born approximation, where the time-dependent perturbation is determined by particle's evolution through the potential region. |
| title | The response of a quantum system to a collision: an autonomous derivation of Kubo's formula |
| topic | Quantum Physics Statistical Mechanics |
| url | https://arxiv.org/abs/2505.03686 |