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Fluctuations in Extractable Work Bound the Charging Power of Quantum Batteries

TitleFluctuations in Extractable Work Bound the Charging Power of Quantum Batteries
Publication TypeJournal Article
Year of Publication2020
AuthorsL. Pedro Garcia-Pintos, A. Hamma, and A. del Campo
JournalPhys. Rev. Lett.
Volume125
Pagination040601
Date PublishedJUL 22
Type of ArticleArticle
ISSN0031-9007
Abstract

We study the connection between the charging power of quantum batteries and the fluctuations of the extractable work. We prove that in order to have a nonzero rate of change of the extractable work, the state rho(W) of the battery cannot be an eigenstatc of a ``free energy operator,{''} defined by F H-W + beta(-1) log(rho(W)), where H-W is the Hamiltonian of the battery and beta 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 free energy operator 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.

DOI10.1103/PhysRevLett.125.040601