Tight Quantum Speed Limit for Ergotropy Charging in the N-Qubit Dicke Battery
Quantum Physics
2026-03-18 v2 Mathematical Physics
math.MP
Abstract
We derive and analytically prove a tight quantum speed limit (QSL) for ergotropy charging in the -qubit Dicke quantum battery: the first-passage time to normalised ergotropy satisfies , where is the coupling and is the mean charger photon number. The bound follows from an exact perturbative identity , where is the short-time ergotropy coefficient, combined with a global upper bound proved analytically for all . The composite parameter is the unique figure of merit for charging speed; all protocols collapse onto , with the bound saturated to within 1% at small .
Keywords
Cite
@article{arxiv.2603.10415,
title = {Tight Quantum Speed Limit for Ergotropy Charging in the N-Qubit Dicke Battery},
author = {Anass Jad and Abderrahim El Allati},
journal= {arXiv preprint arXiv:2603.10415},
year = {2026}
}