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Correlation Localization in Waveguide QED with Delayed Interactions

N. Vera, F. M. Quinteros, P. Barberis-Blostein, P. Solano
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⚡ Quantum Brief
A team led by N. Vera, F. M. Quinteros, P. Barberis-Blostein, and P. Solano demonstrated that in an atomic array coupled to a waveguide under the Bragg condition, delayed non-Markovian interactions—caused by finite photon propagation time—trigger a power-law decay in atom-atom correlation length. Starting from a single excited atom, the excitation partially spreads across the array before reaching a steady state, with residual excitation localizing near the initial source. The study quantifies how interaction delay shapes correlation transport in waveguide QED systems.
Why it matters

This reveals a tunable mechanism for controlling quantum correlations in waveguide QED, offering a path to engineer localized entanglement for scalable quantum networks while highlighting the role of non-Markovian effects in open quantum systems.

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Quantum Physics arXiv:2607.06888 (quant-ph) [Submitted on 8 Jul 2026] Title:Correlation Localization in Waveguide QED with Delayed Interactions Authors:N. Vera, F. M. Quinteros, P. Barberis-Blostein, P. Solano View a PDF of the paper titled Correlation Localization in Waveguide QED with Delayed Interactions, by N. Vera and 3 other authors View PDF HTML (experimental) Abstract:We study the atom-atom correlation length in an atomic array coupled to a waveguide under the Bragg condition with delayed non-Markovian interactions caused by a finite photon propagation time. Starting from a single excited atom, the excitation partially spreads among all atoms, reaching a steady state. The remaining excitation localizes near the initially excited atom, and the atom-atom correlation length decreases as a power law with the interaction delay. This localization phenomenon reveals how the delay-induced non-Markovian behavior affects the correlation transport in waveguide QED systems. Comments: Subjects: Quantum Physics (quant-ph); Atomic Physics (physics.atom-ph) Cite as: arXiv:2607.06888 [quant-ph] (or arXiv:2607.06888v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2607.06888 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Nicolas Vera [view email] [v1] Wed, 8 Jul 2026 01:15:45 UTC (835 KB) Full-text links: Access Paper: View a PDF of the paper titled Correlation Localization in Waveguide QED with Delayed Interactions, by N. Vera and 3 other authorsView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2026-07 Change to browse by: physics physics.atom-ph 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?) 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?)

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