Speaker
Dr
Pratik Nandy
(YITP, Kyoto University)
Description
Under the Hamiltonian evolution, a simple operator turns into a complicated operator. The growth of such an operator is drastically different when the system is connected to a dissipative environment than in a typical closed system. We probe such growth via a recently explored measure of scrambling known as Krylov complexity and aim to propose an operator growth hypothesis in open quantum systems. By testing our hypothesis in a dissipative version of SYK model, which is a paradigmatic model of quantum chaos and a toy model of holography, we motivate the notion of "dissipative quantum chaos".
