Scrambling of Entanglement from Integrability to Chaos: Bootstrapped Time-Integrated Spread Complexity
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Quantum Physics arXiv:2604.14224 (quant-ph) [Submitted on 14 Apr 2026] Title:Scrambling of Entanglement from Integrability to Chaos: Bootstrapped Time-Integrated Spread Complexity Authors:M. Süzen View a PDF of the paper titled Scrambling of Entanglement from Integrability to Chaos: Bootstrapped Time-Integrated Spread Complexity, by M. S\"uzen View PDF HTML (experimental) Abstract:A time-integrated measure of complexity is proposed for diagnosing the degree of quantum ergodicity. The scrambling dynamics of maximally entangled states within the ensemble of unitary evolutions are quantified by applying numerical bootstrapped realizations of an ensemble of Hamiltonians, probing different unitary paths. Using Rosenzweig-Porter ensembles, we show that the integrated spread complexity provides a fine-grained resolution across different ergodic regimes. This approach offers a robust method for diagnosing quantum chaos from early to late times. Comments: Subjects: Quantum Physics (quant-ph); Statistical Mechanics (cond-mat.stat-mech) MSC classes: 81Qxx, 37M05, 15A60 ACM classes: G.2.2 Cite as: arXiv:2604.14224 [quant-ph] (or arXiv:2604.14224v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2604.14224 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Mehmet A. Süzen PhD [view email] [v1] Tue, 14 Apr 2026 13:16:20 UTC (125 KB) Full-text links: Access Paper: View a PDF of the paper titled Scrambling of Entanglement from Integrability to Chaos: Bootstrapped Time-Integrated Spread Complexity, by M. S\"uzenView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2026-04 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?)