Hierarchical quantum sensing with Floquet-engineered chaos and exceptional surfaces

Hierarchical quantum sensing with Floquet-engineered chaos and exceptional surfaces | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Research Article Hierarchical quantum sensing with Floquet-engineered chaos and exceptional surfaces Stella Rolande Mbokop Tchounda, Carolle Tchodimou, Philippe Djorwe, and 2 more This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-9170592/v1 This work is licensed under a CC BY 4.0 License Status: Under Revision Version 1 posted 10 You are reading this latest preprint version Abstract This Letter presents a hierarchical quantum sensing strategy in Floquet-engineered optomechanical systems based on the topological transition from limit cycles to strange attractors. Analyzing the global attractor landscape reveals three sensing regimes: linear operation, exceptional points (EPs), and high-order chaos. The chaotic regime yields a sensitivity scaling $S \propto e^{2\lambda_{\max} t}$, providing a $100\times$ gain over the standard quantum limit and outperforming EP-based enhancement ($12.5\times$) for transient signals. The physical mechanism is a "Petermann bifurcation," where the non-orthogonality of Floquet modes ($K \gg 1$) persists beyond the stability boundary, combining topological and dynamical amplification. Ultra-Strong Coupling (USC) effects significantly expand the chaotic basin, robustly preserving these gains against experimental disorder. Full Text Additional Declarations No competing interests reported. Supplementary Files MbokopDQS2026SM.tex MbokopDQS2026SM.pdf Cite Share Download PDF Status: Under Revision Version 1 posted Editorial decision: Revision requested 18 May, 2026 Reviews received at journal 07 May, 2026 Reviews received at journal 27 Apr, 2026 Reviewers agreed at journal 16 Apr, 2026 Reviewers agreed at journal 16 Apr, 2026 Reviewers agreed at journal 07 Apr, 2026 Reviewers invited by journal 30 Mar, 2026 Editor assigned by journal 26 Mar, 2026 Submission checks completed at journal 26 Mar, 2026 First submitted to journal 19 Mar, 2026 You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. We do this by developing innovative software and high quality services for the global research community. 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Also discoverable on Platform About Our Team In Review Editorial Policies Advisory Board Help Center Resources Author Services Accessibility API Access RSS feed Manage Cookie Preferences © Research Square 2026 | ISSN 2693-5015 (online) Privacy Policy Terms of Service Do Not Sell My Personal Information {"props":{"pageProps":{"initialData":{"identity":"rs-9170592","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":614370886,"identity":"4f1e8f34-b746-4b0b-8435-20e26e11a399","order_by":0,"name":"Stella Rolande Mbokop Tchounda","email":"","orcid":"","institution":"University of Yaoundé I","correspondingAuthor":false,"prefix":"","firstName":"Stella","middleName":"Rolande Mbokop","lastName":"Tchounda","suffix":""},{"id":614370887,"identity":"9ff994b6-7307-4da2-b2a3-53fd557f737c","order_by":1,"name":"Carolle Tchodimou","email":"","orcid":"","institution":"University of Yaoundé 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