Multiple Bulk-Boundary Correspondences and Anomalous Modes in a Non-Hermitian Creutz Ladder
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Quantum Physics arXiv:2605.00954 (quant-ph) [Submitted on 1 May 2026] Title:Multiple Bulk-Boundary Correspondences and Anomalous Modes in a Non-Hermitian Creutz Ladder Authors:Xin Li, TongYi Li, JingYu Peng, Yu Wang View a PDF of the paper titled Multiple Bulk-Boundary Correspondences and Anomalous Modes in a Non-Hermitian Creutz Ladder, by Xin Li and 3 other authors View PDF HTML (experimental) Abstract:The synergy of non-Hermitian and topology renders the bulk-boundary correspondence (BBC) even more elusive. Here we study a non-Hermitian Creutz ladder that incorporates both gain-loss and nonreciprocity, and construct multiple BBCs involving scale-free, normal and anomalous skin modes, as well as topological zero-energy modes. In the presence of spatial inversion (P) symmetry, the parity-time (PT) phase transition is characterizedbyanaveragewindingnumber,whereasahiddenchiralsymmetryguaranteesthattopologicalphase transitions can be detected via a Z 2 invariant. The gain-loss breaks the P symmetry but preserves the combined PT symmetry, and then the previous BBC version only requires minor modifications. Intriguingly, sublattice symmetry enables the precise calculation of non-Bloch spectra, based on which a hybrid spectral winding can encode the localization (or delocalization) information of two counterintuitive bulk modes that coexist with normal skin modes. One type exhibits exponential boundary accumulation in the opposite direction to nonreciprocity. The other exemplifies a surge of Bloch-wave states in nonreciprocal lattices. These results reveal a series of unexpected phenomena governed by symmetry, thereby expanding our fundamental understanding of the BBC mechanism in non-Hermitian topological systems. Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2605.00954 [quant-ph] (or arXiv:2605.00954v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2605.00954 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Xin Li Dor [view email] [v1] Fri, 1 May 2026 11:48:57 UTC (1,924 KB) Full-text links: Access Paper: View a PDF of the paper titled Multiple Bulk-Boundary Correspondences and Anomalous Modes in a Non-Hermitian Creutz Ladder, by Xin Li and 3 other authorsView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2026-05 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?)