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Quantum batteries, which are quantum systems to be used for the storage and transformation of energy, have been recently attracting research interest. A promising candidate for their investigation is the Dicke model, which describes an ensemble of two-level systems interacting with a single-mode electromagnetic wave in a resonator cavity. In order to charge the battery, a coupling between the ensemble of two-level systems and resonator cavity should be turned off at a certain moment of time. This moment of time is chosen in such a way that the energy gets fully stored in an ensemble of two-level systems. In our previous works we have investigated a bound-luminosity superradiant state of the extended Dicke model and found analytical expressions for the dynamics of coherent energy transfer between the superradiant condensate and the ensemble of two-level systems. Here, using our previous results, we have derived analytically the superlinear law for the quantum battery charging power PN^3/2 as a function of the number N of two-level systems in the battery, and also the N dependence for the charging time t₂N^-1/2. The N exponent 3/2 of the charging power is in quantitative correspondence with the recent result 1. 541 obtained numerically by other authors. The physics of Dicke quantum battery charging is considered in detail.
Seidov et al. (Fri,) studied this question.