Choi echo: dynamical irreversibility and local decoherence in quantum many-body chaos

Quantum Physics arXiv:2512.11030 (quant-ph) [Submitted on 11 Dec 2025] Title:Choi echo: dynamical irreversibility and local decoherence in quantum many-body chaos Authors:Jose Alfredo de Leon, Miguel Gonzalez, Carlos Diaz-Mejia View a PDF of the paper titled Choi echo: dynamical irreversibility and local decoherence in quantum many-body chaos, by Jose Alfredo de Leon and 2 other authors View PDF HTML (experimental) Abstract:Quantifying intrinsic irreversibility in open quantum dynamics is central to understanding decoherence and information loss in many-body systems. In this work, we introduce the Choi echo, which provides an operational interpretation of the purity of the Choi state, the state representation of a quantum channel, as a quantifier of the robustness of quantum correlations against local information erasure. We employ this framework to analyze the reduced dynamics of a subsystem and to test whether local decoherence probes quantum chaos in many-body systems. Across paradigmatic spin chain models, we show that while the Choi echo captures key dynamical features, it also exhibits intrinsic limitations that, in certain regions of parameter space, restrict its ability to resolve the integrable-to-chaos transition at the level of spectral correlations. In particular, we demonstrate that local decoherence can spuriously signal quantum chaos in integrable regimes, tracing them to the inability of a strictly local probe to distinguish efficient coherent transport from genuinely scrambling dynamics. Our results show that local decoherence signals are controlled by the entanglement generated between the probe and its environment during the dynamics, rather than by spectral correlations, clarifying the practical scope of local dynamical diagnostics. Comments: Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2512.11030 [quant-ph] (or arXiv:2512.11030v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2512.11030 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Jose Alfredo de Leon [view email] [v1] Thu, 11 Dec 2025 19:00:01 UTC (6,633 KB) Full-text links: Access Paper: View a PDF of the paper titled Choi echo: dynamical irreversibility and local decoherence in quantum many-body chaos, by Jose Alfredo de Leon and 2 other authorsView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2025-12 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?)