paper

Fluctuations in extractable work bound the charging power of quantum batteries

arXiv:1909.03558 · doi:10.1103/PhysRevLett.125.040601

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 non-zero rate of change of the extractable work, the state of the battery cannot be an eigenstate of a `\emph{free energy operator}', defined by , where is the Hamiltonian of the battery and 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. \ \emph{Note: this version includes our Reply to a Comment by Cusumano and Rudnicki, both published in Phys. Rev. Lett.}

arXiv commentAccepted version with updated presentation and references. main: 5 pages, 2 figures; PRL response: 1 page; appendix: 5 pages, 3 figures. Includes our Reply to a Comment by Cusumano and Rudnicki, both published in Phys. Rev. Lett

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