Analytical and numerical studies of periodic superradiance

[2412.02248] Analytical and numerical studies of periodic superradiance Skip to main content Search Submit Donate Log in Search arXiv Press Enter to search · Advanced search Physics > Atomic Physics arXiv:2412.02248 (physics) [Submitted on 3 Dec 2024 ( v1 ), last revised 10 Apr 2026 (this version, v2)] Title: Analytical and numerical studies of periodic superradiance Authors: Hideaki Hara , Yuki Miyamoto , Junseok Han , Riku Omoto , Yasutaka Imai , Akihiro Yoshimi , Koji Yoshimura , Motohiko Yoshimura , Noboru Sasao View a PDF of the paper titled Analytical and numerical studies of periodic superradiance, by Hideaki Hara and 8 other authors View PDF HTML (experimental) Abstract: We conduct a theoretical study to understand the periodic superradiance observed in an Er:YSO crystal. First, we construct a model based on the Maxwell-Bloch equations for a reduced level system, a pair of superradiance states and a population reservoir state. Analysis of the eigenvalues of the linearized differential equations shows that periodic superradiance can be realized only for certain parameters. We also derive two-variable equations consisting of the coherence and population difference between the two superradiance states, which contain the essential feature of the periodic superradiance. The two-variable equations clarify a mathematical structure of this periodic phenomenon and give analytical forms of the period, pulse duration, and number of emitted photons. Our model successfully reproduces the periodic behavior, but the actual experimental parameters are found to be outside the parameter region for the periodic superradiance. This result implies that some other mechanism(s) is required. As one example, assuming that the field decay rate varies with the electric field, the periodic superradiance can be reproduced even under the actual experimental condition. Comments: 18 pages, 10 figures Subjects: Atomic Physics (physics.atom-ph) Cite as: arXiv:2412.02248 [physics.atom-ph] (or arXiv:2412.02248v2 [physics.atom-ph] for this version) https://doi.org/10.48550/arXiv.2412.02248 Focus to learn more arXiv-issued DOI via DataCite Journal reference: Phys. Rev. A 113, 043713 (2026) Related DOI : https://doi.org/10.1103/fvvx-wtyd Focus to learn more DOI(s) linking to related resources Submission history From: Hideaki Hara [ view email ] [v1] Tue, 3 Dec 2024 08:26:23 UTC (3,377 KB) [v2] Fri, 10 Apr 2026 09:12:45 UTC (4,146 KB) Full-text links: Access Paper: View a PDF of the paper titled Analytical and numerical studies of periodic superradiance, by Hideaki Hara and 8 other authors View PDF HTML (experimental) TeX Source view license Current browse context: physics.atom-ph < prev | next > new | recent | 2024-12 Change to browse by: physics References & Citations NASA ADS Google 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? ) 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? ) We gratefully acknowledge support from our major funders , member institutions , , and all contributors. About · Help · Contact · Subscribe · Copyright · Privacy · Accessibility · Operational Status (opens in new tab) Major funding support from

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