



01387nas a2200157   4500008004100000245002900041210002900070260001300099490000600112520096500118100002501083700003201108700003201140700002001172856003701192       2020                        eng d00aRandom Quantum Batteries0 aRandom Quantum Batteries  c5/5/20200 v23 a<p>Quantum nano-devices are fundamental systems in quantum thermodynamics that have been the subject of profound interest in recent years. Among these, quantum batteries play a very important role. In this paper we lay down a theory of random quantum batteries and provide a systematic way of computing the average work and work fluctuations in such devices by investigating their typical behavior. We show that the performance of random quantum batteries exhibits typicality and depends only on the spectral properties of the time evolving operator, the initial state and the measuring Hamiltonian. At given revival times a random quantum battery features a quantum advantage over classical random batteries. Our method is particularly apt to be used both for exactly solvable models like the Jaynes-Cummings model or in perturbation theory, e.g., systems subject to harmonic perturbations. We also study the setting of quantum adiabatic random batteries.</p>1 aCaravelli, Francesco1 aDe Wit, Ghislaine, Coulter-1 aGarcía-Pintos, Luis, Pedro1 aHamma, Alioscia  uhttps://arxiv.org/abs/1908.08064