Fractional decay in the spontaneous emission of a two-level system
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Quantum Physics arXiv:2512.13817 (quant-ph) [Submitted on 15 Dec 2025] Title:Fractional decay in the spontaneous emission of a two-level system Authors:Hiroki Nakabayashi, Hayato Kinkawa, Takano Taira, Naomichi Hatano View a PDF of the paper titled Fractional decay in the spontaneous emission of a two-level system, by Hiroki Nakabayashi and 3 other authors View PDF HTML (experimental) Abstract: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 $1-\alpha t^{2-D/n}$ in the short-time and in the form $\alpha t^{D/n-2}$ 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. Comments: Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2512.13817 [quant-ph] (or arXiv:2512.13817v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2512.13817 Focus to learn more arXiv-issued DOI via DataCite Submission history From: Hiroki Nakabayashi [view email] [v1] Mon, 15 Dec 2025 19:02:40 UTC (478 KB) Full-text links: Access Paper: View a PDF of the paper titled Fractional decay in the spontaneous emission of a two-level system, by Hiroki Nakabayashi and 3 other authorsView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2025-12 References & Citations INSPIRE HEP NASA ADSGoogle Scholar Semantic Scholar export BibTeX citation Loading... BibTeX formatted citation × loading... Data provided by: Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer (What is the Explorer?) Connected Papers Toggle Connected Papers (What is Connected Papers?) Litmaps Toggle Litmaps (What is Litmaps?) scite.ai Toggle scite Smart Citations (What are Smart Citations?) Code, Data, Media Code, Data and Media Associated with this Article alphaXiv Toggle alphaXiv (What is alphaXiv?) Links to Code Toggle CatalyzeX Code Finder for Papers (What is CatalyzeX?) DagsHub Toggle DagsHub (What is DagsHub?) GotitPub Toggle Gotit.pub (What is GotitPub?) Huggingface Toggle Hugging Face (What is Huggingface?) Links to Code Toggle Papers with Code (What is Papers with Code?) ScienceCast Toggle ScienceCast (What is ScienceCast?) Demos Demos Replicate Toggle Replicate (What is Replicate?) Spaces Toggle Hugging Face Spaces (What is Spaces?) Spaces Toggle TXYZ.AI (What is TXYZ.AI?) Related Papers Recommenders and Search Tools Link to Influence Flower Influence Flower (What are Influence Flowers?) Core recommender toggle CORE Recommender (What is CORE?) Author Venue Institution Topic About arXivLabs arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs. Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)