@article { ISI:000551007800002,
title = {Fluctuations in Extractable Work Bound the Charging Power of Quantum Batteries},
journal = {Phys. Rev. Lett.},
volume = {125},
number = {4},
year = {2020},
month = {JUL 22},
pages = {040601},
publisher = {AMER PHYSICAL SOC},
type = {Article},
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 {\textquoteleft}{\textquoteleft}free energy operator,{{\textquoteright}{\textquoteright}} 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.},
issn = {0031-9007},
doi = {10.1103/PhysRevLett.125.040601},
author = {Pedro Garcia-Pintos, Luis and Hamma, Alioscia and del Campo, Adolfo}
}