Description
In this talk I will discuss recent results on long time dynamics of strongly interacting many body quantum systems, focusing on two settings: local random quantum circuits and time dynamics of closed quantum systems . For random quantum circuitsI will show that circuit complexity of states and unitaries saturate in exponential time and undergo recurrence after double exponential time (in system size). For unitary quantum dynamics I will present a general doubly exponential upper bound on recurrence time of and show examples of Hamiltonians and states that saturate it.
