Deep strong charging in a multiphoton anisotropic Dicke quantum battery

We investigate the performances of multiphoton anisotropic Dicke quantum battery (QB), which couples a finite number $N$ of identical and independent two-level systems (TLSs) to a unique cavity mode. Each transition of TLS is accompanied by the absorption or emission of $l$ photons from the cavity mode. In this model, the coupling constants of rotating and counterrotating wave terms are independent. Therefore, we utilize this interesting property to investigate the role of counterrotating wave terms and find that the higher the proportion of counterrotating wave terms, the higher the average power. Moreover, it is shown that the charging process is progressively faster by increasing the coupling strength from the weak to the ultrastrong and deep strong coupling regime. In the deep strong regime, the anti-Tavis-Cummings (ATC) coupling can almost achieve the optimal energy storage in a short time, which can be used to realize the feasibility of QB. Furthermore, we also analyze the effects of multiphoton interaction and single-multiphoton mixing process on the battery performances.