Complex-gauge control of anomalous Floquet corner responses in a non-Hermitian physical-synthetic photonic lattice
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Quantum Physics arXiv:2606.07038 (quant-ph) [Submitted on 5 Jun 2026] Title:Complex-gauge control of anomalous Floquet corner responses in a non-Hermitian physical-synthetic photonic lattice Authors:W. C. Ning, X. Z. Zhang View a PDF of the paper titled Complex-gauge control of anomalous Floquet corner responses in a non-Hermitian physical-synthetic photonic lattice, by W. C. Ning and 1 other authors View PDF HTML (experimental) Abstract:We propose a non-Hermitian Floquet photonic lattice formed by a physical resonator coordinate and a synthetic frequency coordinate. A two-step modulation protocol realizes a chiral walk in this physical-synthetic plane, with a real synthetic flux controlling loop interference and imaginary gauge fields controlling non-reciprocal envelopes. We show that anomalous corner pairs at quasienergies zero and \(\pi/T\) exhibit three distinct layers of physics. A non-Bloch higher-order construction predicts whether the \(0/\pi\) corner pair exists under open boundaries. The imaginary gauge fields select where the right eigenmodes accumulate. The real flux controls the local interference matrix element that determines whether the doubled-period optical response is visible. As a result, the same topological coexistence sector can be bright, skin-dark, or flux-dark in a local optical measurement. We further show that the complex gauge can tune an exceptional point of the two-period corner propagator. At this point the anomalous response keeps its doubled-period sign alternation, but its envelope becomes algebraic because of a Jordan block. These results provide a photonic route to separate topological existence, skin-selected localization, optical visibility, and defective two-period dynamics in a non-Hermitian synthetic dimension. Subjects: Quantum Physics (quant-ph); Optics (physics.optics) Cite as: arXiv:2606.07038 [quant-ph] (or arXiv:2606.07038v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2606.07038 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: WeiCheng Ning [view email] [v1] Fri, 5 Jun 2026 08:27:18 UTC (1,480 KB) Full-text links: Access Paper: View a PDF of the paper titled Complex-gauge control of anomalous Floquet corner responses in a non-Hermitian physical-synthetic photonic lattice, by W. C. Ning and 1 other authorsView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2026-06 Change to browse by: physics physics.optics 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?)