Fractional decay in the spontaneous emission of a two-level system
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915678213111808 |
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| author | Nakabayashi, Hiroki Kinkawa, Hayato Taira, Takano Hatano, Naomichi |
| author_facet | Nakabayashi, Hiroki Kinkawa, Hayato Taira, Takano Hatano, Naomichi |
| contents | We find that when the environment of a two-level system has an energy spectrum with a lower bound but without an upper one, the survival probability of the spontaneous emission of the two-level system scales with the spatial dimension $D$ and the exponent $n$ of the energy dispersion $|\vec{k}|^n$ of the environment in the form $1-αt^{2-D/n}$ in the short-time and in the form $αt^{D/n-2}$ in the long-time regime. The former fractional scaling of the survival probability leads to a quantum Zeno effect with a different scaling of the Zeno time. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_13817 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Fractional decay in the spontaneous emission of a two-level system Nakabayashi, Hiroki Kinkawa, Hayato Taira, Takano Hatano, Naomichi Quantum Physics We find that when the environment of a two-level system has an energy spectrum with a lower bound but without an upper one, the survival probability of the spontaneous emission of the two-level system scales with the spatial dimension $D$ and the exponent $n$ of the energy dispersion $|\vec{k}|^n$ of the environment in the form $1-αt^{2-D/n}$ in the short-time and in the form $αt^{D/n-2}$ in the long-time regime. The former fractional scaling of the survival probability leads to a quantum Zeno effect with a different scaling of the Zeno time. |
| title | Fractional decay in the spontaneous emission of a two-level system |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2512.13817 |