Dynamical witnesses and universal behavior across chaos and non-ergodicity in the tilted Bose-Hubbard model
Summarize this article with:
Quantum Physics arXiv:2602.00369 (quant-ph) [Submitted on 30 Jan 2026] Title:Dynamical witnesses and universal behavior across chaos and non-ergodicity in the tilted Bose-Hubbard model Authors:Carlos Diaz-Mejia, Sergio Lerma-Hernandez, Jorge G. Hirsch View a PDF of the paper titled Dynamical witnesses and universal behavior across chaos and non-ergodicity in the tilted Bose-Hubbard model, by Carlos Diaz-Mejia and 2 other authors View PDF HTML (experimental) Abstract:Quantum chaos in isolated quantum systems is intimately linked to thermalization and the rapid relaxation of observables. Although the spectral properties of the chaotic phase in the tilted Bose-Hubbard model have been well characterized, the corresponding dynamical signatures across the transition to regularity remain less explored . In this work, we investigate this transition by analyzing the time evolution of the survival probability, the single-site entanglement entropy, and the half-chain imbalance. Our results reveal a clear hierarchy in the sensitivity of these observables: the relaxation value of the entanglement entropy varies smoothly as a function of the Hamiltonian parameters across the chaos-regular transition, while the imbalance exhibits a more pronounced distinction. Most notably, the survival probability emerges as the most robust indicator of the transition between chaos and regularity. When appropriately scaled, all three observables converge onto a common behavior as a function of the Hamiltonian parameters for different numbers of sites and bosons,enabling a universal characterization of the transition between chaotic and regular dynamics. Comments: Subjects: Quantum Physics (quant-ph); Quantum Gases (cond-mat.quant-gas) Cite as: arXiv:2602.00369 [quant-ph] (or arXiv:2602.00369v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2602.00369 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Carlos Diaz-Mejia Carlos Diaz-Mejia [view email] [v1] Fri, 30 Jan 2026 22:32:01 UTC (2,318 KB) Full-text links: Access Paper: View a PDF of the paper titled Dynamical witnesses and universal behavior across chaos and non-ergodicity in the tilted Bose-Hubbard model, by Carlos Diaz-Mejia and 2 other authorsView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2026-02 Change to browse by: cond-mat cond-mat.quant-gas 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?) Links to Code Toggle Papers with Code (What is Papers with Code?) 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?)