Normal-mode splitting, sideband cooling and force sensitivity in a linear and quadratic optomechanical system with phase noise

Normal-mode splitting, sideband cooling and force sensitivity in a linear and quadratic optomechanical system with phase noise | 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 Normal-mode splitting, sideband cooling and force sensitivity in a linear and quadratic optomechanical system with phase noise Qing He, Yufeng Bai, Fazal Badshah, Liping Li, Haoqiang Qi This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-3934398/v1 This work is licensed under a CC BY 4.0 License Status: Published Journal Publication published 02 Jun, 2024 Read the published version in Optical and Quantum Electronics → Version 1 posted 11 You are reading this latest preprint version Abstract In a linear and quadratic optomechanical system (OMS) with optical parametric amplifier's phase noise, we consider a study on normal-mode splitting, sideband cooling and force sensitivity. The system encompasses an optical cavity, a mechanical membrane and a degenerate optical parametric amplifier (OPA). When there is OPA's pump phase noise, normal-mode splitting still occurs and displays more complex splitting than the case of no phase noise. Specifically, for increasing quadratic coupling, the left peak shrinks steadily until it vanishes while the right peak increases to a larger value. In addition, the nonlinear gain of OPA and the quadratic coupling parameter play a key role as cooling the mechanical membrane in the existence of certain phase noise. Phase noise needs to be reduced, and the proper parameters (i.e., the nonlinear gain of OPA and the quadratic coupling) are helpful to improve the cooling effect. Furthermore, in the presence of OPA's phase noise, when the value of quadratic coupling is negative, the standard quantum limit is beaten and force sensitivity can be enhanced with the higher negative values of quadratic coupling. In the realm of quantum optomechanics, our proposed scheme has viable applications in enhancing the performance of quantum manipulation and precision measurement. Phase Noise Quadratic Coupling Normal-mode splitting Sideband Cooling Force Sensitivity Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Published Journal Publication published 02 Jun, 2024 Read the published version in Optical and Quantum Electronics → Version 1 posted Editorial decision: Revision requested 21 Apr, 2024 Reviews received at journal 21 Apr, 2024 Reviews received at journal 10 Apr, 2024 Reviewers agreed at journal 26 Mar, 2024 Reviewers agreed at journal 26 Mar, 2024 Reviewers agreed at journal 10 Feb, 2024 Reviewers agreed at journal 08 Feb, 2024 Reviewers invited by journal 07 Feb, 2024 Editor assigned by journal 07 Feb, 2024 Submission checks completed at journal 07 Feb, 2024 First submitted to journal 06 Feb, 2024 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. 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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-3934398","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":271776672,"identity":"7ab085ba-d80b-416e-9ad5-00f001768138","order_by":0,"name":"Qing 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