Optimization of entanglement depends on the extremality and nonextremality of a black hole

Optimization of entanglement depends on the extremality and nonextremality of a black hole | 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 Optimization of entanglement depends on the extremality and nonextremality of a black hole Subhajit Barman, Bibhas Ranjan Majhi This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-3923895/v1 This work is licensed under a CC BY 4.0 License Status: Under Review Version 1 posted 7 You are reading this latest preprint version Abstract We consider two Unruh-DeWitt detectors interacting with a massless, minimally coupled scalar field in a (1+1) dimensional Reissner-Nordstrom black hole spacetime. In particular, one of the detectors, corresponding to Alice, is moving along an outgoing null trajectory. While the other detector carried by Bob is static. With this set-up, we investigate the entangling condition and the measure of the entanglement, concurrence, in the nonextremal and extremal scenarios. Our observations suggest, as expected, a qualitative similarity in characteristics of the entanglement between these two scenarios. However, we find a distinct and consistent quantitative feature between the nonextremal and extremal concurrences for a broad range of black hole charges. With moderately large detector transition energy, the extremal background always accounts for the larger entanglement than the nonextremal one. In contrast, with low detector transition energy, entanglement on the nonextremal background can be greater. Therefore, by adjusting the detector transition energy, one can perceive optimum entanglement from either the extremal or the nonextremal background. Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Under Review Version 1 posted Editorial decision: Revision requested 28 Apr, 2024 Reviews received at journal 27 Apr, 2024 Reviewers agreed at journal 07 Apr, 2024 Reviewers invited by journal 26 Feb, 2024 Submission checks completed at journal 03 Feb, 2024 Editor assigned by journal 03 Feb, 2024 First submitted to journal 03 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. 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-3923895","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":270928496,"identity":"c8bbe953-a73e-4070-a0c6-f97b53c2c557","order_by":0,"name":"Subhajit Barman","email":"data:image/png;base64,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","orcid":"","institution":"Indian Institute of Technology Madras","correspondingAuthor":true,"prefix":"","firstName":"Subhajit","middleName":"","lastName":"Barman","suffix":""},{"id":270928497,"identity":"3bb185b7-4f32-4cf5-b8ce-f9063763de43","order_by":1,"name":"Bibhas Ranjan Majhi","email":"","orcid":"","institution":"Indian Institute of Technology Guwahati","correspondingAuthor":false,"prefix":"","firstName":"Bibhas","middleName":"Ranjan","lastName":"Majhi","suffix":""}],"badges":[],"createdAt":"2024-02-03 12:31:18","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-3923895/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-3923895/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":50707350,"identity":"2f4e9a1f-f6a4-4673-86ce-2fe4e99482ff","added_by":"auto","created_at":"2024-02-06 06:31:40","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":753062,"visible":true,"origin":"","legend":"","description":"","filename":"EntanglementRNBHNullStatic.pdf","url":"https://assets-eu.researchsquare.com/files/rs-3923895/v1_covered_22fd1393-f08f-426d-bc52-4a257f7ba007.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Optimization of entanglement depends on the extremality and nonextremality of a black hole","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":false,"highlight":"","institution":"","isAcceptedByJournal":true,"isAuthorSuppliedPdf":true,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":false,"isPdf":true,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"[email protected]","identity":"general-relativity-and-gravitation","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"gerg","sideBox":"Learn more about [General Relativity and Gravitation](http://link.springer.com/journal/10714)","snPcode":"10714","submissionUrl":"https://submission.nature.com/new-submission/10714/3","title":"General Relativity and Gravitation","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"em","reportingPortfolio":"Springer Hybrid","inReviewEnabled":true,"inReviewRevisionsEnabled":false},"keywords":"","lastPublishedDoi":"10.21203/rs.3.rs-3923895/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-3923895/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"We consider two Unruh-DeWitt detectors interacting with a massless, minimally coupled scalar field in a (1+1) dimensional Reissner-Nordstrom black hole spacetime. 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