In the simplest definition, a quantum battery is defined as a quantum system that can store energy. Recently, quantum battery has attracted a lot of interest due to its better performance than the classical one in terms of charging speed and stored energy. This superior performance comes from the quantum effects, such as quantum entanglement and correlations. The main problem to tackle in quantum battery is to achieve a quantum battery that stores more energy with faster charging time. In this work, we consider a model of quantum battery with nonlinearity effect: Kerr nonlinearity and quadratic driving. We show by adding nonlinearity to the system, the performance of the quantum battery in terms of stored energy and charging time becomes better. The Kerr nonlinearity induces an-harmonicity in the energy levels of the battery, from which we show that the charging time of the Kerr battery is faster than the case of harmonic oscillator battery, while the stored energy is larger than the case of qubit battery. On the other hand, quadratic driving leads to a squeezed quantum battery, which generates plentiful useful energy near to critical points.
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