Efficient Charging of the Quantum Battery Based on the Driven Heisenberg J1−J2${\it J}_{1}-{\it J}_{2}$ Model

Abstract The use of an optical cavity to embed an ensemble of two‐level system, holds promise for enhancing the charging power of a quantum battery. In this study, an ultrafast charging quantum battery based on the driven Heisenberg model is proposed. Various charging performance metrics are analyzed, including energy storage, average charging power, and energy quantum fluctuation. Additionally, the dependence of the maximum energy storage and the maximum charging power on the number of atoms is also discussed. Notably, a quantum advantage is obtained in the maximum charging power, which can be approximately described by the scaling relation . When the coupling between atoms and the cavity is not strong, it is further showed that such a quantum battery can reach the quantum advantage by optimizing parameters under the collective charging scheme. Finally, regarding the external environment as a resource for auxiliary charging, a more stable charging process can be achieved for the quantum battery.