In this talk, I will first introduce the notion of operator delocalization, to be contrasted with the more conventional notion of operator growth, as a fundamental building block of operator scrambling.I will then use this machinery to analytically investigate the quantum charging advantage of a family of SYK quantum batteries. I will show that such an advantage ultimately relies on the operator delocalization properties of large size operators under the SYK dynamics, while it is unaffected by the presence or absence of operator growth.
