Fluctuations in stored work bound the charging power of quantum batteries

TitleFluctuations in stored work bound the charging power of quantum batteries
Publication TypeJournal Article
Year of Publication2019
AuthorsGarcía-Pintos, LPedro, Hamma, A, del Campo, A
Date Published9/8/2019
Abstract

We study the connection between the charging power of quantum batteries and the fluctuations of the stored work. We prove that in order to have a non-zero rate of change of the extractable work, the state ρW of the battery cannot be an eigenstate of a `\emph{work operator}', defined by F ≡ HW + β−1log(ρW), where HW is the Hamiltonian of the battery and β is the inverse temperature of a reference thermal bath with respect to which the extractable work is calculated. We do so by proving that fluctuations in the stored work upper bound the charging power of a quantum battery. Our findings also suggest that quantum coherence in the battery enhances the charging process, which we illustrate on a toy model of a heat engine. 

URLhttps://arxiv.org/abs/1909.03558