Measurement-Induced Quantum Zeno Control of Tunneling in a Two-Level Model: A Monte-Carlo Unraveling Study with Effective Measurement-Rate Scaling

Measurement-Induced Quantum Zeno Control of Tunneling in a Two-Level Model: A Monte-Carlo Unraveling Study with Effective Measurement-Rate Scaling | 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 Measurement-Induced Quantum Zeno Control of Tunneling in a Two-Level Model: A Monte-Carlo Unraveling Study with Effective Measurement-Rate Scaling Dr. Zuhair Ahmed This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-8799450/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 a numerical study of measurement-induced suppression of coherent tunneling in a two-level quantum system subject to re peated projective monitoring. The dynamics are simulated using a stochastic quantum-trajectory (Monte-Carlo) unraveling which repro duces the dephasing dynamics of a continuously monitored system. We introduce an effective measurement rate γ ≈ pmeas/dt and demon strate a monotonic reduction of the escaped population as a function of γ/∆, where ∆ is the coherent tunneling amplitude. For a fixed evolution time T = π/2, we observe a clear transition to the quantum Zeno regime for γ ≫ ∆. A log–log analysis of the large-γ data re veals an asymptotic scaling close to Pesc ∝ γ−1, in agreement with the strong-measurement limit of the corresponding Lindblad master equation. Our results provide a compact and programmable numerical platform for investigating measurement-controlled tunneling dynamics and Zeno-based control using gate-level quantum simulation frame works. Renewable Resources Biophysics Quantum Zeno effect coherent tunneling two-level system Monte-Carlo unraveling projective measurements dephasing dynamics effective measurement rate escaped population Lindblad master equation stochastic trajectories quantum simulation feedback control asymptotic scaling adiabatic elimination Full Text Additional Declarations The authors declare no competing interests. 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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