"Linear response of entanglement entropy from holography"

Dr. Juan F. Pedraza, Universidad de Amsterdam

In this talk I will present recent results of the propagation of entanglement entropy after a global quench in the context of AdS/CFT. I will start by reviewing the heuristic picture for the entanglement propagation after instantaneous quenches dubbed as the 'entanglement tsunami', and explain why this interpretation fails for general quenches and entangling regions. In the second part of the talk I will present an analytic perturbative calculation for small subregions and show that in this regime the spread of entanglement exhibit some distinct features. Most notably, the instantaneous rate of growth is not constrained by causality in this regime, but rather its time average. Finally, I will argue that for small subregions, the growth of entanglement after general global quenches can be physically understood in terms of a linear response.
Based on: arXiv:1602.05934 and arXiv:1705.10324