Tight Quantum Speed Limit for Ergotropy Charging in the N-Qubit Dicke Battery
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Quantum Physics arXiv:2603.10415 (quant-ph) [Submitted on 11 Mar 2026] Title:Tight Quantum Speed Limit for Ergotropy Charging in the N-Qubit Dicke Battery Authors:Anass Jad, Abderrahim El Allati View a PDF of the paper titled Tight Quantum Speed Limit for Ergotropy Charging in the N-Qubit Dicke Battery, by Anass Jad and Abderrahim El Allati View PDF HTML (experimental) Abstract:We derive and analytically prove a tight quantum speed limit (QSL) for ergotropy charging in the $N$-qubit Dicke quantum battery: the first-passage time to normalised ergotropy $\epsilon$ satisfies $\tau^{*}(\epsilon) \geq \sqrt{N\epsilon}/(2\lambda\sqrt{\bar{n}})$, where $\lambda$ is the coupling and $\bar{n}$ is the mean charger photon number. The bound follows from an exact perturbative identity $\epsilon(t) = A\lambda^2\bar{n}t^2 + \mathcal{O}((\lambda t)^4)$, where $A=4/N$ is the short-time ergotropy coefficient, combined with a global upper bound proved analytically for all $N$. The composite parameter $\Gamma_N = 2\lambda\sqrt{\bar{n}/N}$ is the unique figure of merit for charging speed; all protocols collapse onto $\Gamma_N \tau^{*} \geq \sqrt{\epsilon}$, with the bound saturated to within 1% at small $\epsilon$. Subjects: Quantum Physics (quant-ph); Mathematical Physics (math-ph) Cite as: arXiv:2603.10415 [quant-ph] (or arXiv:2603.10415v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2603.10415 Focus to learn more arXiv-issued DOI via DataCite Submission history From: Anass Jad [view email] [v1] Wed, 11 Mar 2026 04:55:42 UTC (77 KB) Full-text links: Access Paper: View a PDF of the paper titled Tight Quantum Speed Limit for Ergotropy Charging in the N-Qubit Dicke Battery, by Anass Jad and Abderrahim El AllatiView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2026-03 Change to browse by: math math-ph math.MP 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?)