Propagation-Distance Limit for a Classical Nonlocal Optical System

Quantum Physics arXiv:2511.22085 (quant-ph) [Submitted on 27 Nov 2025] Title:Propagation-Distance Limit for a Classical Nonlocal Optical System Authors:Salman Sajad Wani, Xiaoping Shi, Saif- Al-Kuwari, Arshid Shabir, Mir Faizal View a PDF of the paper titled Propagation-Distance Limit for a Classical Nonlocal Optical System, by Salman Sajad Wani and 4 other authors View PDF HTML (experimental) Abstract:We derive closed-form analog quantum-speed-limit (QSL) bounds for highly nonlocal optical beams whose paraxial propagation is mapped to a reversed (inverted) harmonic-oscillator generator. Treating the longitudinal coordinate $z$ as an evolution parameter (propagation distance), we construct the propagator, evaluate the Bures distance, and obtain analytic Mandelstam--Tamm and Margolus--Levitin bounds that fix a propagation-distance limit $z_{\mathrm{PDL}}$ to reach a prescribed mode distinguishability. This distance-domain constraint is the classical optical analogue of the minimal orthogonality time in quantum mechanics. We then propose a compact self-defocusing PDL beam shaper that achieves strong transverse-mode conversion within millimeter scales. We further show that small variations in refractive index, beam power, or temperature shift $z_{\mathrm{SL}}$ with high leverage, enabling speed-limit-based metrology with index sensitivities down to $10^{-7}$ RIU and temperature resolutions of order $1$ mK. The results bridge distance-domain QSL geometry and practical photonic applications. Comments: Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2511.22085 [quant-ph] (or arXiv:2511.22085v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2511.22085 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Journal reference: Physics Letters A, 2025, 131180, ISSN 0375-9601 Related DOI: https://doi.org/10.1016/j.physleta.2025.131180 Focus to learn more DOI(s) linking to related resources Submission history From: Salman Wani Mr [view email] [v1] Thu, 27 Nov 2025 04:15:43 UTC (720 KB) Full-text links: Access Paper: View a PDF of the paper titled Propagation-Distance Limit for a Classical Nonlocal Optical System, by Salman Sajad Wani and 4 other authorsView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2025-11 References & Citations INSPIRE HEP NASA ADSGoogle Scholar Semantic Scholar export BibTeX citation Loading... BibTeX formatted citation × loading... Data provided by: Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer (What is the Explorer?) Connected Papers Toggle Connected Papers (What is Connected Papers?) Litmaps Toggle Litmaps (What is Litmaps?) scite.ai Toggle scite Smart Citations (What are Smart Citations?) Code, Data, Media Code, Data and Media Associated with this Article alphaXiv Toggle alphaXiv (What is alphaXiv?) Links to Code Toggle CatalyzeX Code Finder for Papers (What is CatalyzeX?) DagsHub Toggle DagsHub (What is DagsHub?) GotitPub Toggle Gotit.pub (What is GotitPub?) Huggingface Toggle Hugging Face (What is Huggingface?) Links to Code Toggle Papers with Code (What is Papers with Code?) ScienceCast Toggle ScienceCast (What is ScienceCast?) Demos Demos Replicate Toggle Replicate (What is Replicate?) Spaces Toggle Hugging Face Spaces (What is Spaces?) Spaces Toggle TXYZ.AI (What is TXYZ.AI?) Related Papers Recommenders and Search Tools Link to Influence Flower Influence Flower (What are Influence Flowers?) Core recommender toggle CORE Recommender (What is CORE?) Author Venue Institution Topic About arXivLabs arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs. Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)