Scaling law of asymptotic freedom in collective charging of quantum batteries
Summarize this article with:
Quantum Physics arXiv:2606.10054 (quant-ph) [Submitted on 8 Jun 2026] Title:Scaling law of asymptotic freedom in collective charging of quantum batteries Authors:Gentaro Watanabe, Chunlin Chen, B.
Prasanna Venkatesh View a PDF of the paper titled Scaling law of asymptotic freedom in collective charging of quantum batteries, by Gentaro Watanabe and 2 other authors View PDF HTML (experimental) Abstract:We establish a universal scaling law for collective charging of quantum batteries, independent of microscopic details. We prove that the ergotropy-to-energy ratio approaches unity at least as fast as $\sim N^{-1}$ with the number of batteries $N$, implying generic asymptotic freedom. We further show how the universal $1/N$ scaling can be overcome: when the battery state becomes asymptotically pure, the convergence can be substantially faster, including $\sim N^{-b}$ with $b>1$ and even exponential scaling in $N^2$. Rigorous finite-$N$ upper and lower bounds on the ergotropy-to-energy ratio are further derived, providing nonasymptotic guarantees for the universal $1/N$ scaling. Comments: Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2606.10054 [quant-ph] (or arXiv:2606.10054v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2606.10054 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Gentaro Watanabe [view email] [v1] Mon, 8 Jun 2026 18:30:29 UTC (493 KB) Full-text links: Access Paper: View a PDF of the paper titled Scaling law of asymptotic freedom in collective charging of quantum batteries, by Gentaro Watanabe and 2 other authorsView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2026-06 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?)