Hydrodynamics of Entanglement

by Dr Mark Mezei (Stony Brook)

Wednesday 27 Mar 2019, 14:00 → 16:00 Europe/Zurich

4/3-006 - TH Conference Room (CERN)

The time evolution of entanglement entropy in highly exited states of chaotic quantum systems provides insight both into the process of thermalization, and through the gauge/gravity duality into black holes in quantum gravity. Most conventional methods are not applicable to this problem. In this talk, I present an effective theory for entanglement dynamics akin to hydrodynamics. I derive this theory in the special case of chaotic gauge theories dual to gravity in AdS spacetime, and present strong evidence that is valid for any chaotic system. I discuss the interplay between the effective theory and chaotic operator growth. I conclude with some outstanding problems this new theory may help to solve.