Quantum typicality survives non-Abelian gauge constraints: exact analytical prediction confirmed in $SU(2)$ lattice gauge theory
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Quantum Physics arXiv:2606.27402 (quant-ph) [Submitted on 24 Jun 2026] Title:Quantum typicality survives non-Abelian gauge constraints: exact analytical prediction confirmed in $SU(2)$ lattice gauge theory Authors:Zhi-Wei Wang, Samuel L. Braunstein View a PDF of the paper titled Quantum typicality survives non-Abelian gauge constraints: exact analytical prediction confirmed in $SU(2)$ lattice gauge theory, by Zhi-Wei Wang and Samuel L. Braunstein View PDF HTML (experimental) Abstract:Arguments for emergent spacetime require that quantum typicality, the generic absence of inter-subsystem correlations, persists on the physical Hilbert space of a gauge theory, where non-Abelian constraints could in principle inject geometry-supporting entanglement. Using $SU(2)$ lattice gauge theory on two-dimensional tori ($d_{\mathrm{phys}}$ up to $4{,}193$), we show that it does: the typical mutual information between strictly disjoint links matches an exact parameter-free analytical prediction combining a microcanonical baseline with Haar-random fluctuations. The Kogut-Susskind Hamiltonian generates correlations from states of definite geometry (such as the electric vacuum), while generic states show only regression to the mean, establishing that the arrow of correlation growth requires a non-generic initial condition. Comments: Subjects: Quantum Physics (quant-ph); General Relativity and Quantum Cosmology (gr-qc); High Energy Physics - Theory (hep-th); Mathematical Physics (math-ph) Cite as: arXiv:2606.27402 [quant-ph] (or arXiv:2606.27402v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2606.27402 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Zhi-Wei Wang [view email] [v1] Wed, 24 Jun 2026 14:18:02 UTC (47 KB) Full-text links: Access Paper: View a PDF of the paper titled Quantum typicality survives non-Abelian gauge constraints: exact analytical prediction confirmed in $SU(2)$ lattice gauge theory, by Zhi-Wei Wang and Samuel L. BraunsteinView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2026-06 Change to browse by: gr-qc hep-th math math-ph math.MP 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?)