Entanglement Dynamics of Ground State and í µí²«í µí²¯ Symmetry in Non-Hermitian Systems

Entanglement Dynamics of Ground State and í µí²«í µí²¯ Symmetry in Non-Hermitian Systems | 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 Entanglement Dynamics of Ground State and í µí²«í µí²¯ Symmetry in Non-Hermitian Systems Linzhi Jiang, Weicheng Miao, Wenchao Ma This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-5453909/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 In this manuscript, we explore the properties of a non-Hermitian spin-1/2 XY model subjected to alternating imaginary and transverse magnetic fields. Focusing on a two-spin system, we systematically construct the ground state phase diagram and provide an exact calculation of the ground state entanglement via the Negativity measure. Our findings reveal that, within eigenstates influenced by the anisotropy parameter, real magnetic fields, and imaginary magnetic fields, the anisotropy parameter significantly enhances entanglement, whereas the real magnetic field tends to diminish or even annihilate it. Notably, in the ΡΤ -symmetry broken phase, quantum entanglement demonstrates increased resilience to variations in the real magnetic field with the strengthening of the imaginary magnetic field. For eigenstates governed purely by the imaginary magnetic field, we observe that the two-spin entanglement remains maximal (i.e., value of 1) within the ΡΤ -symmetry region, while it gradually declines in the ΡΤ -symmetry broken region as the parameter η 0 decreases. An intriguing observation is that the first derivative of the Negativity shows non-analytic behavior at the critical points, highlighting the role of Negativity as a reliable and effective indicator of phase transitions in this non-Hermitian system. Non-Hermitian XY model Negativity ΡΤ-symmetry Imaginary and transverse magnetic fields 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. 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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-5453909","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":379091253,"identity":"24e14038-da0e-4047-aa16-0697c6a4eb3c","order_by":0,"name":"Linzhi Jiang","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA6klEQVRIiWNgGAWjYBACNvnzzz98/GPDzC//+OCDhIoawlr4JHjYGGc2pLFLNqQlGzw4c4ywFjmgFmbOhsP8Bg05ZpIPW5iJcJh077HHjDuYpQ0YDphVJDawMfC3dyfg1yJzLt248AybsTljQ9qNxB0yDBJnzm7Ar4UhwUB6BhtPsmUzw7EbiWfYGAwkconQwsMmUb/hGGNbQWIbMxFaJHLMpHnbDJgNzjCzMRCnhedYsuGMMwnMkjPYmCUSzhzjIegX+fbmgw8+VPxn5pfg//jxR0WNHH97L34tGICHNOWjYBSMglEwCrACABUbSE6efGoeAAAAAElFTkSuQmCC","orcid":"","institution":"Bengbu Medical University","correspondingAuthor":true,"prefix":"","firstName":"Linzhi","middleName":"","lastName":"Jiang","suffix":""},{"id":379091254,"identity":"d4298685-95ec-46ca-b334-030de8880b1f","order_by":1,"name":"Weicheng Miao","email":"","orcid":"","institution":"Bengbu Medical University","correspondingAuthor":false,"prefix":"","firstName":"Weicheng","middleName":"","lastName":"Miao","suffix":""},{"id":379091255,"identity":"684479c2-a45c-433b-80c0-3ef423c71c4d","order_by":2,"name":"Wenchao Ma","email":"","orcid":"","institution":"Bengbu Medical University","correspondingAuthor":false,"prefix":"","firstName":"Wenchao","middleName":"","lastName":"Ma","suffix":""}],"badges":[],"createdAt":"2024-11-14 12:38:06","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-5453909/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-5453909/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":75757777,"identity":"c341d6db-8807-4257-94a7-13863eecbfc2","added_by":"auto","created_at":"2025-02-08 00:31:20","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":457238,"visible":true,"origin":"","legend":"","description":"","filename":"EntanglementDynamicsofGroundStateandSymmetryinNonHermitianSystems.pdf","url":"https://assets-eu.researchsquare.com/files/rs-5453909/v1_covered_f5440038-7fad-4cd0-8cc1-5786da13f65f.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Entanglement Dynamics of Ground State and í µí²«í µí²¯ Symmetry in Non-Hermitian Systems","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":"Non-Hermitian XY model, Negativity, ΡΤ-symmetry, Imaginary and transverse magnetic fields","lastPublishedDoi":"10.21203/rs.3.rs-5453909/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-5453909/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eIn this manuscript, we explore the properties of a non-Hermitian spin-1/2 XY model subjected to alternating imaginary and transverse magnetic fields. Focusing on a two-spin system, we systematically construct the ground state phase diagram and provide an exact calculation of the ground state entanglement via the Negativity measure. Our findings reveal that, within eigenstates influenced by the anisotropy parameter, real magnetic fields, and imaginary magnetic fields, the anisotropy parameter significantly enhances entanglement, whereas the real magnetic field tends to diminish or even annihilate it. Notably, in the \u003cem\u003eΡΤ\u003c/em\u003e-symmetry broken phase, quantum entanglement demonstrates increased resilience to variations in the real magnetic field with the strengthening of the imaginary magnetic field. 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