Universal dynamics in driven quantum critical systems
I will discuss the non-equilibrium dynamics of a large class of quasi periodically driven critical quantum systems described by spatially inhomogeneous conformal field theories (CFTs) in (1+1)d. I will show how the dynamics of such driven systems may be solved analytically, and lead to heating and nonheating phases, which are diagnosed by the growth of entanglement entropy and out-of-time-order correlators. Furthermore, I will show that the scrambling of quantum information is strongly inhomogeneous and leads to chaotic transitions. Finally, I will discuss extensions to the non-unitary driven dynamics of CFTs, and connections to purification phase transitions