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Phase-resolved multichannel quantum escape between limit cycles

arXiv Quantum Physics
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⚡ Quantum Brief
Researchers demonstrated phase-resolved quantum escape between two oscillatory states in a driven optomechanical resonator, revealing how quantum fluctuations induce rare transitions between coexisting limit cycles. Unlike fixed-point escapes, switching between extended attractors depends on the phase at which fluctuations approach the periodic basin boundary, offering direct geometric reconstruction of escape pathways via quantum-jump trajectories. Small-amplitude cycles exhibit single-corridor escape with near-Arrhenius scaling, while large-amplitude cycles show competing phase-localized corridors with distinct activation scales, indicating multichannel quantum dynamics. The study maps a controlled quantum-to-classical crossover, using event-conditioned phase distributions to identify curvature in switching-rate scaling—a hallmark of finite-fluctuation escape between metastable states. This work advances understanding of driven-dissipative quantum systems, where classical coexistence transitions into quantum metastability under finite fluctuations, with implications for quantum control and noise-resistant technologies.
Phase-resolved multichannel quantum escape between limit cycles

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Quantum Physics arXiv:2605.24122 (quant-ph) [Submitted on 22 May 2026] Title:Phase-resolved multichannel quantum escape between limit cycles Authors:Caroline Nowoczyn, Ludwig Mathey, Kilian Seibold View a PDF of the paper titled Phase-resolved multichannel quantum escape between limit cycles, by Caroline Nowoczyn and Ludwig Mathey and Kilian Seibold View PDF HTML (experimental) Abstract:Driven-dissipative quantum systems can recover stable dynamical attractors in the semiclassical limit, including coexisting limit cycles. At finite fluctuation strength, this classical coexistence becomes quantum metastability: the corresponding oscillatory states undergo rare fluctuation-induced transitions. We demonstrate phase-resolved quantum escape between two such states in a driven optomechanical resonator. Unlike escape from fixed points, switching between extended attractors occurs across a periodic basin boundary and depends on the phase at which fluctuations approach it. Using quantum-jump trajectories across a controlled quantum-to-classical crossover, we reconstruct the escape geometry directly from switching events. Escape from the small-amplitude cycle proceeds through a single radial corridor and exhibits near-Arrhenius scaling, whereas escape from the large-amplitude cycle involves competing phase-localized corridors with distinct effective activation scales. The resulting curvature in the switching-rate scaling, together with event-conditioned phase distributions, identifies finite-fluctuation multichannel quantum escape between extended attractors. Comments: Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2605.24122 [quant-ph] (or arXiv:2605.24122v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2605.24122 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Kilian Seibold [view email] [v1] Fri, 22 May 2026 18:32:59 UTC (4,218 KB) Full-text links: Access Paper: View a PDF of the paper titled Phase-resolved multichannel quantum escape between limit cycles, by Caroline Nowoczyn and Ludwig Mathey and Kilian SeiboldView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2026-05 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?) 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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Source: arXiv Quantum Physics