Geometric signatures of the onset of many-body ergodicity

Quantum Physics arXiv:2608.14818 (quant-ph) [Submitted on 14 Aug 2026] Title:Geometric signatures of the onset of many-body ergodicity Authors:Chris Ventura-Meinersen, Edmondo Valvo, Stefano Bosco, Francisco Machado, Maximilian Rimbach-Russ View a PDF of the paper titled Geometric signatures of the onset of many-body ergodicity, by Chris Ventura-Meinersen and 4 other authors View PDF HTML (experimental) Abstract:Identifying universal, robust, and interpretable signatures of the onset of ergodicity remains a major challenge. The adiabatic gauge potential has been noted to act as a sensitive probe of quantum chaos. In this work, we generalize the features of the adiabatic gauge potential to multi-parameter perturbations, yielding an emergent quantum geometry. We dub this geometry the Hilbert-Killing metric, which allows us to study the onset of ergodicity in many-body quantum systems. Our Hilbert-Killing metric sensitively probes the boundary between ergodic and integrable regimes across all investigated geometric components. This boundary is uniquely identified by the presence of the consistently fastest growth with system size, which is corroborated by extensive numerical investigations of the Ising and PXP models. Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2608.14818 [quant-ph] (or arXiv:2608.14818v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2608.14818 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Christian Ventura-Meinersen [view email] [v1] Fri, 14 Aug 2026 18:45:32 UTC (1,384 KB) Full-text links: Access Paper: View a PDF of the paper titled Geometric signatures of the onset of many-body ergodicity, by Chris Ventura-Meinersen and 4 other authorsView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2026-08 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?)