@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}
}
@article {nicholson_time-information_2020,
title = {Time-information uncertainty relations in thermodynamics},
journal = {Nat. Phys.},
volume = {16},
number = {12},
year = {2020},
note = {Place: HEIDELBERGER PLATZ 3, BERLIN, 14197, GERMANY Publisher: NATURE RESEARCH Type: Article},
month = {dec},
abstract = {Physical systems powering motion and creating structure in a fixed amount of time dissipate energy and produce entropy. Whether living, synthetic or engineered, systems performing these dynamic functions must balance dissipation and speed. Here, we show that rates of energy and entropy exchange are subject to a speed limit-a time-information uncertainty relation-imposed by the rates of change in the information content of the system. This uncertainty relation bounds the time that elapses before the change in a thermodynamic quantity has the same magnitude as its s.d. From this general bound, we establish a family of speed limits for heat, dissipated/chemical work and entropy depending on the experimental constraints on the system and its environment. In all of these inequalities, the timescale of transient dynamical fluctuations is universally bounded by the Fisher information. Moreover, they all have a mathematical form that mirrors the Mandelstam-Tamm version of the time-energy uncertainty relation in quantum mechanics. These bounds on the speed of arbitrary observables apply to transient systems away from thermodynamic equilibrium, independent of the physical constraints on the stochastic dynamics or their function. A time-information uncertainty relation in thermodynamics has been derived, analogous to the time-energy uncertainty relation in quantum mechanics, imposing limits on the speed of energy and entropy exchange between a system and external reservoirs.},
issn = {1745-2473},
doi = {10.1038/s41567-020-0981-y},
author = {Nicholson, Schuyler B. and Garcia-Pintos, Luis Pedro and del Campo, Adolfo and Green, Jason R.}
}