Quantum Mpemba Prediction in Three-Qubit XYZ Spin Chains Using Low Fractional Orders

Quantum Mpemba Prediction in Three-Qubit XYZ Spin Chains Using Low Fractional Orders | 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 Quantum Mpemba Prediction in Three-Qubit XYZ Spin Chains Using Low Fractional Orders E. G. El-Hadidy, N. Metwally, Abderrahim El Allati, K. El Anouz This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-6784128/v1 This work is licensed under a CC BY 4.0 License Status: Published Journal Publication published 20 Nov, 2025 Read the published version in Quantum Information Processing → Version 1 posted 10 You are reading this latest preprint version Abstract In this work, we investigate the possibility of predicting the phenomena of the quantum Mpemba fractionally, where it is assumed that a single qubit, which is initially prepared in three different case, hottest, hotter and colder states, interacting with its surroundings made up of two qubits via XY Z chain model in the presences of Dzyaloshinskii–Moriya interaction (DM). The trace distance between the equilibrium and time fractional evolution of the system is used to predict the Mpemba phenomena. The impact of the interaction parameters and the fractional orders on the stabilization behavior of the qubit is discussed. It is shown that, thermalization case is reached at small fraction order during a short interaction time. However, as one increases the fractional orders, the thermalization is observed at large interaction time. For ferro-magnetic case and large strength of DM interaction, the stabilization behavior is predicted at small interaction time, while for anti-ferromagnetic and small values of DM , the stabilization is reached at large interaction time. Fractional unitary dynamics Open system Fractional Schrödinger equation Quantum Mpemba effect Thermalization Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Published Journal Publication published 20 Nov, 2025 Read the published version in Quantum Information Processing → Version 1 posted Editorial decision: Revision requested 23 Sep, 2025 Reviews received at journal 26 Aug, 2025 Reviews received at journal 12 Aug, 2025 Reviewers agreed at journal 09 Aug, 2025 Reviewers agreed at journal 08 Aug, 2025 Reviewers agreed at journal 08 Aug, 2025 Reviewers invited by journal 07 Aug, 2025 Editor assigned by journal 31 May, 2025 Submission checks completed at journal 30 May, 2025 First submitted to journal 30 May, 2025 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-6784128","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":499142214,"identity":"2ca851f0-4edf-4aed-ad1b-96f5cc5eeb50","order_by":0,"name":"E. G. 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