  Both the Jaynes-Cummings-Hubbard (JCH) and Dicke models can be thought of as
idealised models of a quantum battery. In this paper we numerically investigate
the charging properties of both of these models. The two models differ in how
the two-level systems are contained in cavities. In the Dicke model, the $N$
two-level systems are contained in a single cavity, while in the JCH model the
two-level systems each have their own cavity and are able to pass photons
between them. In each of these models we consider a scenario where the
two-level systems start in the ground state and the coupling parameter between
the photon and the two-level systems is quenched. Each of these models display
a maximum charging power that scales with the size of the battery $N$ and no
super charging was found. Charging power also scales with the square root of
the average number of photons per two-level system $m$ for both models.
Finally, in the JCH model, the power was found to charge inversely with the
square root of the photon-cavity coupling $\kappa$.

Quantum Physics