Topological weak-measurement-induced geometric phases revisited

Topological weak-measurement-induced geometric phases revisited | 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Article Topological weak-measurement-induced geometric phases revisited Graciana Puentes This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-4559096/v1 This work is licensed under a CC BY 4.0 License Status: Posted Version 1 posted You are reading this latest preprint version Abstract We present an analytic and numerica study of a class of geometric phase induced by weak measurements. In particular, we analyze the dependence of the geometric phase on the winding W of the polar angle φ, upon a sequence of N weak measurements of increased magnitude ( c ), resulting in the appearance of a multiplicity of critical measurement-strength parameters where the geometric phase becomes stochastic. Adding to the novelty of our approach, we not only analyze the weak-measurement-induced geometric phase by a full analytic derivation, valid in the quasi-continuous limit ( N → ∞), but also we analyze the induced geometric phase numerically, thus enabling us to unravel the finite- N interplay of the geometric phase with the measurement strength parameter, and its stability to perturbations in the measurements protocol. Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Posted Version 1 posted 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. Our growing team is made up of researchers and industry professionals working together to solve the most critical problems facing scientific publishing. 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-4559096","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":318535672,"identity":"e45e44b8-cecf-46af-a95c-41f465681ae8","order_by":0,"name":"Graciana Puentes","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAABC0lEQVRIiWNgGAWjYLCCBCS2HIg48IBoLQcYGIzBdAIOlZgAqCWxAd1edCAfffjhhwc1d+TNJZKPPf5QUZc+P+zwQ6AtdnK6Ddi1GJ5LM5ZIOPbMcOeMtHSDA2cO5268nWYA1JJsbHYAh5YeBjOGBLbDjBtu5JhJHGw7kLtxdgJIy4HEbTi1sH9jSPh32H7DjfxvEgf/1aUbzk7/gFeLPA+PGUNi2+FEoC1sEgcbmBPkpXPw22LAw1Mskdh3OHlnzzMziTPHDhtukM4pOJBggNsv8j3sGz/++HbYdjt78jOJipo6efnZ6Zs/fKiwk8OlxQAmboAqYoBFLcyWBnQtcJFRMApGwSgYBVAAAM4kaG0RsElPAAAAAElFTkSuQmCC","orcid":"","institution":"University of Buenos Aires","correspondingAuthor":true,"prefix":"","firstName":"Graciana","middleName":"","lastName":"Puentes","suffix":""}],"badges":[],"createdAt":"2024-06-10 15:51:22","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-4559096/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-4559096/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":72359354,"identity":"666c6a2f-50e5-4e94-bf36-488476956bed","added_by":"auto","created_at":"2024-12-26 05:33:18","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":807245,"visible":true,"origin":"","legend":"","description":"","filename":"geometricphases.pdf","url":"https://assets-eu.researchsquare.com/files/rs-4559096/v1_covered_f7a8e547-8e55-43b6-896d-abd543f622c9.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Topological weak-measurement-induced geometric phases revisited","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":true,"highlight":"","institution":"","isAcceptedByJournal":false,"isAuthorSuppliedPdf":true,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":false,"isPdf":true,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"[email protected]","identity":"researchsquare","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":true,"externalIdentity":"","sideBox":"","snPcode":"","submissionUrl":"/submission","title":"Research Square","twitterHandle":"researchsquare","acdcEnabled":true,"dfaEnabled":false,"editorialSystem":"","reportingPortfolio":"","inReviewEnabled":false,"inReviewRevisionsEnabled":true},"keywords":"","lastPublishedDoi":"10.21203/rs.3.rs-4559096/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-4559096/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eWe present an analytic and numerica study of a class of geometric phase induced by weak measurements. In particular, we analyze the dependence of the geometric phase on the winding \u003cem\u003eW\u003c/em\u003e of the polar angle φ,\u0026nbsp;upon a sequence of \u003cem\u003eN\u003c/em\u003e weak measurements of increased magnitude (\u003cem\u003ec\u003c/em\u003e), resulting in the appearance of a multiplicity of critical measurement-strength parameters where the geometric phase becomes stochastic.\u0026nbsp;Adding to the novelty of our approach, we not only analyze the weak-measurement-induced geometric phase by a full analytic derivation, valid in the quasi-continuous limit (\u003cem\u003eN\u003c/em\u003e \u003cstrong\u003e→\u003c/strong\u003e ∞), but also we analyze the induced geometric phase numerically,\u0026nbsp;thus enabling us to unravel the finite-\u003cem\u003eN\u003c/em\u003e interplay of the geometric phase with the measurement strength parameter, and its stability to perturbations in the measurements protocol.\u003c/p\u003e","manuscriptTitle":"Topological weak-measurement-induced geometric phases revisited","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2024-06-26 05:25:33","doi":"10.21203/rs.3.rs-4559096/v1","editorialEvents":[{"type":"communityComments","content":0}],"status":"published","journal":{"display":true,"email":"[email protected]","identity":"researchsquare","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":true,"externalIdentity":"","sideBox":"","snPcode":"","submissionUrl":"/submission","title":"Research Square","twitterHandle":"researchsquare","acdcEnabled":true,"dfaEnabled":false,"editorialSystem":"","reportingPortfolio":"","inReviewEnabled":false,"inReviewRevisionsEnabled":true}}],"origin":"","ownerIdentity":"41cbeb61-deef-4bba-9d41-26469d4b242b","owner":[],"postedDate":"June 26th, 2024","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"posted","subjectAreas":[],"tags":[],"updatedAt":"2024-12-26T05:08:45+00:00","versionOfRecord":[],"versionCreatedAt":"2024-06-26 05:25:33","video":"","vorDoi":"","vorDoiUrl":"","workflowStages":[]},"version":"v1","identity":"rs-4559096","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-4559096","identity":"rs-4559096","version":["v1"]},"buildId":"qtupq5eGEP_6zYnWcrvyt","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}