Configuration-Dependent Classicalisation in a Two-Sector Collision Model

Configuration-Dependent Classicalisation in a Two-Sector Collision Model | 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Article Configuration-Dependent Classicalisation in a Two-Sector Collision Model T.J. Gordon This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-8954526/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 study a bipartite quantum system comprising two coupled Fock-space sectors evolved under a collision model with environment-reset dynamics. The two sectors interact via a beam-splitter Hamiltonian that preserves total excitation number. At each discrete time step, the system undergoes unitary evolution followed by a partial trace over a fresh environmental ancilla, defining a completely positive trace-preserving (CPTP) map. We establish five results. First, the system possesses a diagonal attractor, robust across the entire parameter space tested (600 independent runs spanning a three- dimensional Latin hypercube): the density matrix converges to a state diagonal in the joint number basis. Second, the coherence persistence time obeys a power-law scaling τ = A Cb with b = −0.257 ± 0.020 and R2 = 0.77, where C = γ · ns · N depends on the coupling strength γ, the second-sector excitation number ns, and the number of interaction cycles N. Third, a sharp coupling threshold γ ≥ 1/N separates a regime of frozen asymmetry from one of reliable convergence. Fourth, in the weak-coupling limit, the discrete dynamics reduce to the standard GKSL master equation, reproducing the known γ2 scaling of decoherence rates. Fifth, the dependence on internal configuration ns constitutes a falsifiable prediction that distinguishes this model from standard environment-only decoherence. open quantum systems decoherence collision model classicality parameter Fock space 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-8954526","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":597827836,"identity":"2a05ad2b-8c0d-4541-a2cc-8c173d9e46fa","order_by":0,"name":"T.J. 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The two sectors interact via a beam-splitter Hamiltonian that preserves total excitation number. At each discrete time step, the system undergoes unitary evolution followed by a partial trace over a fresh environmental ancilla, defining a completely positive trace-preserving (CPTP) map.\u0026nbsp;\u003c/p\u003e\n\u003cp\u003eWe establish five results. First, the system possesses a diagonal attractor, robust across the entire parameter space tested (600 independent runs spanning a three- dimensional Latin hypercube): the density matrix converges to a state diagonal in the joint number basis. Second, the coherence persistence time obeys a power-law scaling τ = A Cb with b = −0.257 ± 0.020 and\u0026nbsp; R2 = 0.77, where C = γ · ns · N depends on the coupling strength γ, the second-sector excitation number ns, and the number of interaction cycles N. Third, a sharp coupling threshold γ ≥ 1/N separates a regime of frozen asymmetry from one of reliable convergence. Fourth, in the weak-coupling limit, the discrete dynamics reduce to the standard GKSL master equation, reproducing the known γ2 scaling of decoherence rates. 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