Evolution of holographic entanglement entropy after thermal and electromagnetic quenches

Abstract

We study the evolution and scaling of the entanglement entropy after two\ntypes of quenches for a 2+1 field theory, using holographic techniques. We\nstudy a thermal quench, dual to the addition of a shell of uncharged matter to\nfour dimensional Anti-de Sitter (AdS_4) spacetime, and study the subsequent\nformation of a Schwarzschild black hole. We also study an electromagnetic\nquench, dual to the addition of a shell of charged sources to AdS_4, following\nthe subsequent formation of an extremal dyonic black hole. In these backgrounds\nwe consider the entanglement entropy of two types of geometries, the infinite\nstrip and the round disc, and find distinct behavior for each. Some of our\nfindings naturally supply results analogous to observations made in the\nliterature for lower dimensions, but we also uncover several new phenomena,\nsuch as (in some cases) a discontinuity in the time derivative of the\nentanglement entropy as it nears saturation, and for the electromagnetic\nquench, a logarithmic growth in the entanglement entropy with time for both the\ndisc and strip, before settling to saturation.\n