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 ρ W of the battery cannot be an eigenstate of a “free energy operator,” defined by F ≡ H W + β − 1 log ( ρ W ) , where H W 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 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.
Fluctuations in Extractable Work Bound the Charging Power of Quantum Batteries / Pedro García-Pintos, Luis; Hamma, Alioscia; Adolfo del Campo, And. - In: PHYSICAL REVIEW LETTERS. - ISSN 0031-9007. - 125:040601(2020). [10.1103/physrevlett.125.040601]
Fluctuations in Extractable Work Bound the Charging Power of Quantum Batteries
Alioscia Hamma;
2020
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 ρ W of the battery cannot be an eigenstate of a “free energy operator,” defined by F ≡ H W + β − 1 log ( ρ W ) , where H W 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 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.File | Dimensione | Formato | |
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