Sachdev-Ye-Kitaev quantum batteries

Quantum batteries utilize quantum effects to achieve more efficient and rapid charging processes compared to classical systems. Dynamics driven by quantum quenches in the SYK model and its generalizations are the main subject of the work. Specifically the quenches find applications in charging quantum batteries. A quantum battery is a quantum device useful to store and release energy coherently, namely it is a quantum mechanical system designed for energy storage. Generally it can be composed by several quantum cells, namely n-level quantum systems, which can be excited by switching on and off an additional “charger” Hamiltonian during the time interval of the cycle. A possibility is to employ the SYK model as charger quench Hamiltonian. The student will study, therefore, the effects of quantum quenches involving the SYK model for different choices of the coupling. The charging time, the associated power and the amount of extractable work, can then be analyzed.