Mesoscopic Regimes of Temporal Entanglement in Ergodic Quantum Systems
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Quantum Physics arXiv:2605.08356 (quant-ph) [Submitted on 8 May 2026] Title:Mesoscopic Regimes of Temporal Entanglement in Ergodic Quantum Systems Authors:Sergio Cerezo-Roquebrún, Jan Thorben Schneider, Stefano Carignano, Aleix Bou-Comas, Mari Carmen Bañuls, Esperanza López, Luca Tagliacozzo View a PDF of the paper titled Mesoscopic Regimes of Temporal Entanglement in Ergodic Quantum Systems, by Sergio Cerezo-Roquebr\'un and 6 other authors View PDF HTML (experimental) Abstract:We study temporal correlations in interacting quantum systems through the influence functional of a half-infinite quantum Ising chain. Using Rényi entropies and temporal mutual information, we confirm that integrable dynamics is captured by the quasiparticle picture. In contrast, generic ergodic Hamiltonian dynamics exhibits pronounced deviations from random-circuit universality, and its generalization including a symmetry accounting for energy conservation. Instead, we find a long mesoscopic regime suggestive of a slow spectral reorganization of the influence functional. Our results reveal a rich temporal structure in generic Hamiltonian dynamics and point to limitations of existing random-circuit paradigms at experimentally and numerically relevant timescales. Comments: Subjects: Quantum Physics (quant-ph); Statistical Mechanics (cond-mat.stat-mech) Cite as: arXiv:2605.08356 [quant-ph] (or arXiv:2605.08356v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2605.08356 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Sergio Cerezo-Roquebrún [view email] [v1] Fri, 8 May 2026 18:09:34 UTC (865 KB) Full-text links: Access Paper: View a PDF of the paper titled Mesoscopic Regimes of Temporal Entanglement in Ergodic Quantum Systems, by Sergio Cerezo-Roquebr\'un and 6 other authorsView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2026-05 Change to browse by: cond-mat cond-mat.stat-mech 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?)