Quantum control allows to address the problem of engineering quantum dynamics for special purposes. While recently the field of quantum batteries has attracted much attention, optimization of their charging has not benefited from the quantum control methods. Here we fill this gap. The two-partite charger plus battery system is considered where the energy is pumped to a charger by an external electromagnetic field. We apply for the first time the convergent iterative method for control of the population of a quantum system [1, 2, 3] for two cases. First, we apply it for a qubit-qubit case. Next, we systematically develop the formulation of the method for two-oscillators in the Gaussian regime. In both cases the charger is an open dissipative system. Our optimization considers the experimentally viable problem of turning on and off of the external laser field. Optimizing the shape of the pulse significantly boosts both power and efficiency of the charging process in comparison to the known results [4, 5]. Interestingly, when both the charger and the battery are taken as harmonic oscillators, in the regime of small temperatures the optimization yields charging schemes that are robust against the increase of the temperature environment [6].

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[3] M. H. Goerz et. al, arXiv:1902.11284v6
[4] D. Ferraro et. al, Rev. Lett 120, 117702 (2018)
[5] D. Farina et. al, Phys. Rev. B 99, 035421 (2019)
[6] R. R. Rodriguez, B. Ahmadi, G. Suarez, P. Mazurek, S. Barzanjeh, P. Horodecki (in preparation)