Entanglement entropy in inhomogeneous quenches in AdS/CFT
arXiv:1803.04718 · doi:10.1103/PhysRevD.98.106006
Abstract
We compute entanglement entropy and differential entropy in inhomogeneous holographic quenches in AdS/CFT. The quenches are arbitrarily inhomogeneous and modeled by an infalling shell of massless non-rotating matter where the final state is not dual to a static black hole but rather to a black hole with time-dependent stress-energy tensor modes. We study the entanglement entropy of an interval and differential entropy of a family of intervals analytically when the inhomogeneities have a perturbative amplitude and numerically for non-perturbative inhomogeneities. While we are in principle able to study these quantities for any inhomogeneities, we discuss two concrete examples: an oscillatory quench and a bilocal quench. Both cases display saturation towards a steady state but do not fully thermalize. Depending on the location and size of the interval, the entanglement entropy displays a variety of interesting phenomena such as plateau phases, bumps, and discontinuities in its first derivative with respect to time.
48 pages, 10 figures, v2: various improvements, agrees with published version
References in corpus (11)
- The Luttinger model following a sudden interaction switch-on
- Entanglement and correlation functions following a local quench: a conformal field theory approach
- Holographic Evolution of Entanglement Entropy
- Holographic Entanglement Entropy from 2d CFT: Heavy States and Local Quenches
- Entwinement and the emergence of spacetime
- Generalized Black Holes in Three-dimensional Spacetime
- Holographic Holes and Differential Entropy
- Effect of the deformation operator in the D1D5 CFT
- Entwinement in discretely gauged theories
- Thermalization after holographic bilocal quench
- Collisions of massive particles, timelike thin shells and formation of black holes in three dimensions