Geometric power capacity of coherent ergotropy in quantum batteries
This work introduces geometric power capacity ($\Pi_c(\rho)$), a resource-geometric measure quantifying how much extractable work comes from quantum coherence relative to the minimal geometric time cost. It defines this capacity by dividing coherent ergotropy ($E_c(\rho)$) by the coherent extraction distance ($D_{extc}(\rho)$). The findings establish bounds and show how different coherence measures affect the estimation of this capacity.