Scrambling and Floquet in Conformal Field Theory*

Scrambling and Floquet are two important subjects in the study of quantum dynamics but hard to describe in general. Conformal field theory provides an ideal platform to get more analytical understanding. My talk will be divided into two parts. In the first part, I will discuss scrambling in the unitary minimal models, by analytically calculating out-of-time-order-correlation functions. In particular I will focus on the early-time and late-time behaviors and how they are related to each other. In the second part, I will talk about Floquet physics for general 2D CFTs. The Floquet driving is implemented with the sine-squared deformation. I will discuss the heating features and their stability.