7th International Conference on Engineering and Natural Sciences (ICENS 2021), Sarajevo, Bosna-Hersek, 23 - 27 Temmuz 2021, ss.55-59
Very recently the great progress has been achieved for a new type of
quantum devices: quantum batteries (QBs) which are capable to be charged, to
store the energy and finally to transfer it to consumption centers and other
quantum devices. We present here our theoretical feedback control
algorithms for charging Bosonic quantum batteries with two different topologies
of interaction between the charger and the battery set: parallel versus
collective transfer of energy. The model of QB is composed by non-mutually
interacting elements (quantum harmonic oscillators) in a Markovian bath. The
charger of such a battery is implemented via the field which controls pumping
the energy into the batteries. We study few alternative control approaches to
the charging process: Fradkov’s speed gradient, Kolesnikov’s target attractor
and Borisenok’s target repeller algorithms to track (i.e. to drive dynamically)
the ergotropy and the charging power of the batteries. We discuss pros and cons
of these control models for different charging schemes; demonstrate their efficiency,
robustness and stability. The proposed algorithms can be applied to other
physical types of quantum devices: Dicke
QBs and spin QBs.