Linear response of entanglement entropy from holography

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