Nonlinear Classical Dynamics described by a Density Matrix in the Classical Limit

Quantum Physics arXiv:2512.05423 (quant-ph) [Submitted on 5 Dec 2025] Title:Nonlinear Classical Dynamics described by a Density Matrix in the Classical Limit Authors:Gaspar Gonzalez, Angelo Plastino, Andrés Kowalski View a PDF of the paper titled Nonlinear Classical Dynamics described by a Density Matrix in the Classical Limit, by Gaspar Gonzalez and 2 other authors View PDF HTML (experimental) Abstract:We examine the classical limit of a fairly general nonlinear semiclassical hybrid system within a MaxEnt framework. The consistency of the hybrid dynamics requires algebraic constraints on quantum operators and smoothness conditions for the classical variables. Analytically, we demonstrate that the classical limit is characterized by a pure density matrix representing a single state, which reproduces the dynamics of its classical analogue. To illustrate the methodology, we revisit and synthesize two previously studied examples. Comments: Subjects: Quantum Physics (quant-ph); Chaotic Dynamics (nlin.CD) Cite as: arXiv:2512.05423 [quant-ph] (or arXiv:2512.05423v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2512.05423 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Gaspar Aníbal Gonzalez Acosta [view email] [v1] Fri, 5 Dec 2025 04:42:01 UTC (14,541 KB) Full-text links: Access Paper: View a PDF of the paper titled Nonlinear Classical Dynamics described by a Density Matrix in the Classical Limit, by Gaspar Gonzalez and 2 other authorsView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2025-12 Change to browse by: nlin nlin.CD 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?)