Condensation of vanishing photon emission rates in random atomic clouds
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arXiv
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| Autori principali: | , , , , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866918112913260544 |
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| author | Viggiano, Viviana Bachelard, Romain Cunden, Fabio Deelan Facchi, Paolo Kaiser, Robin Pascazio, Saverio Pepe, Francesco V. Scardicchio, Antonello |
| author_facet | Viggiano, Viviana Bachelard, Romain Cunden, Fabio Deelan Facchi, Paolo Kaiser, Robin Pascazio, Saverio Pepe, Francesco V. Scardicchio, Antonello |
| contents | In the collective photon emission from atomic clouds both the atomic transition frequency and the decay rate are modified compared to a single isolated atom, leading to the effects of superradiance and subradiance. In this article, we analyse the properties of the Euclidean random matrix associated to the radiative dynamics of a cold atomic cloud, previously investigated in the contexts of photon localization and Dicke super- and subradiance. We present evidence of a new type of phase transition, surprisingly controlled by the cooperativeness parameter, rather than the spatial density or the diagonal disorder. The numerical results corroborate the occurrence of such a phase transition at a critical value of the cooperativeness parameter, above which the lower edge of the spectrum vanishes exhibiting a macroscopic accumulation of eigenvalues. Independent evaluations based on the two phenomena provide the same value of the critical cooperativeness parameter. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_11858 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Condensation of vanishing photon emission rates in random atomic clouds Viggiano, Viviana Bachelard, Romain Cunden, Fabio Deelan Facchi, Paolo Kaiser, Robin Pascazio, Saverio Pepe, Francesco V. Scardicchio, Antonello Quantum Physics Quantum Gases Mathematical Physics In the collective photon emission from atomic clouds both the atomic transition frequency and the decay rate are modified compared to a single isolated atom, leading to the effects of superradiance and subradiance. In this article, we analyse the properties of the Euclidean random matrix associated to the radiative dynamics of a cold atomic cloud, previously investigated in the contexts of photon localization and Dicke super- and subradiance. We present evidence of a new type of phase transition, surprisingly controlled by the cooperativeness parameter, rather than the spatial density or the diagonal disorder. The numerical results corroborate the occurrence of such a phase transition at a critical value of the cooperativeness parameter, above which the lower edge of the spectrum vanishes exhibiting a macroscopic accumulation of eigenvalues. Independent evaluations based on the two phenomena provide the same value of the critical cooperativeness parameter. |
| title | Condensation of vanishing photon emission rates in random atomic clouds |
| topic | Quantum Physics Quantum Gases Mathematical Physics |
| url | https://arxiv.org/abs/2407.11858 |