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AC Stark effect or time-dependent Aharonov-Bohm effect for particle on a ring

Patrick Hinrichs, Douglas Singleton, Nader Inan
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⚡ Quantum Brief
Researchers Hinrichs, Singleton, and Inan analyzed a quantum particle on a ring under a time-varying solenoidal vector potential, revealing a phenomenon that blurs the line between the Aharonov-Bohm effect and the AC Stark effect. The study challenges traditional classifications by showing the setup resembles a time-dependent Aharonov-Bohm effect but involves direct field interactions, disqualifying it as a pure Aharonov-Bohm scenario. Unlike the standard AC Stark effect—driven by scalar potentials—this phenomenon arises from a vector potential, producing analogous energy shifts but via distinct electromagnetic mechanisms. A key experimental signature is the generation of quasi-energy sidebands, detectable through spectroscopic techniques, offering a measurable distinction from conventional Stark or Aharonov-Bohm effects. The work bridges high-energy physics and quantum optics, with implications for precision measurements and quantum control in ring-based systems.
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Quantum Physics arXiv:2512.15935 (quant-ph) [Submitted on 17 Dec 2025] Title:AC Stark effect or time-dependent Aharonov-Bohm effect for particle on a ring Authors:Patrick Hinrichs, Douglas Singleton, Nader Inan View a PDF of the paper titled AC Stark effect or time-dependent Aharonov-Bohm effect for particle on a ring, by Patrick Hinrichs and 2 other authors View PDF HTML (experimental) Abstract:We study the effect of a time-varying solenoidal vector potential for a quantum particle confined to a ring. The setup appears to be a time-varying version of the Aharonov-Bohm effect, but since the particle moves in the presence of fields, it is not strictly an Aharonov-Bohm effect. The results are similar to the ac Stark effect, but with a time-varying electric field coming from the vector potential, rather than the scalar potential. We compare and contrast the present effect with the standard ac Stark effect. The signature of this setup is the generation of quasi-energy sidebands which are observable via spectroscopy. Comments: Subjects: Quantum Physics (quant-ph); High Energy Physics - Theory (hep-th) Cite as: arXiv:2512.15935 [quant-ph] (or arXiv:2512.15935v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2512.15935 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Related DOI: https://doi.org/10.1016/j.physleta.2025.131248 Focus to learn more DOI(s) linking to related resources Submission history From: Douglas A. Singleton [view email] [v1] Wed, 17 Dec 2025 20:05:24 UTC (249 KB) Full-text links: Access Paper: View a PDF of the paper titled AC Stark effect or time-dependent Aharonov-Bohm effect for particle on a ring, by Patrick Hinrichs and 2 other authorsView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2025-12 Change to browse by: hep-th 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?)

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