High-power collective charging of a solid-state quantum battery

Abstract

Quantum information theorems state that it is possible to exploit collective quantum resources to greatly enhance the charging power of quantum batteries (QBs) made of many identical elementary units. We here present and solve a model of a QB that can be engineered in solid-state architectures. It consists of $N$ two-level systems coupled to a single photonic mode in a cavity. We contrast this collective model ("Dicke QB"), whereby entanglement is genuinely created by the common photonic mode, to the one in which each two-level system is coupled to its own separate cavity mode ("Rabi QB"). By employing exact diagonalization, we demonstrate the emergence of a quantum advantage in the charging power of Dicke QBs, which scales like $\sqrt{N}$ for $N\gg 1$.Comment: 8 pages, 5 figures. Version v2 supersedes version v1 where a technical mistake was done in using the Holstein-Primakoff transformation. The quantum advantage in the maximum charging power discussed in version v1 has been found to be robust. We have also updated the list of author