Mean-field and fluctuation dynamics in off-resonant two-mode atom-field interactions
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Quantum Physics arXiv:2605.20542 (quant-ph) [Submitted on 19 May 2026] Title:Mean-field and fluctuation dynamics in off-resonant two-mode atom-field interactions Authors:Luis Medina-Dozal, Alejandro R. Urzúa, Carlos A. González-Gutiérrez, José Récamier View a PDF of the paper titled Mean-field and fluctuation dynamics in off-resonant two-mode atom-field interactions, by Luis Medina-Dozal and 2 other authors View PDF HTML (experimental) Abstract:We study a two-level system coupled to two quantized electromagnetic modes within the Jaynes-Cummings framework. While the single-mode model is exactly solvable due to its conserved excitation number, yielding finite-dimensional invariant subspaces, the two-mode model extension presents a fundamental challenge: although the total excitation number remains conserved, each invariant subspace is infinite-dimensional, preventing a closed-form analytical solution. Our scheme separates the dynamics into a dominant, exactly solvable semiclassical component, the atom interacting with the mean fields of both modes, and treats the remaining quantum fluctuations through a sequence of unitary transformations that preserve essential quantum features. We validate our approach through direct comparison with numerical solutions, focusing on the non-resonant regime where multiple detunings give rise to rich interference effects and multi-timescale dynamics inaccessible to standard approximations. The method accurately reproduces atomic inversion, field observables, and fidelity over relevant timescales, while remaining computationally efficient. Comments: Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2605.20542 [quant-ph] (or arXiv:2605.20542v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2605.20542 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Alejandro R. Urzúa Ph.D. [view email] [v1] Tue, 19 May 2026 22:30:51 UTC (1,285 KB) Full-text links: Access Paper: View a PDF of the paper titled Mean-field and fluctuation dynamics in off-resonant two-mode atom-field interactions, by Luis Medina-Dozal and 2 other authorsView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2026-05 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?)