Entanglement Suppression Due to Black Hole Scattering

TL;DR

This paper analyzes how entanglement entropy evolves in a holographic conformal field theory with excited states, revealing that black hole scattering can suppress entanglement growth, leading to a constant entropy bump.

Contribution

It provides an analytical method to study entanglement evolution in excited states and demonstrates suppression effects due to mixed-state quenches in holographic models.

Findings

Single local operator insertion causes logarithmic entanglement growth.

Mixed-state quenches suppress entanglement growth to a constant.

Suppression depends on quench positions and regularization ratios.

Abstract

We consider the evolution of entanglement entropy in a two-dimensional conformal field theory with a holographic dual. Specifically, we are interested in a class of excited states produced by a combination of pure-state (local operator) and mixed-state local quenches. We employ a method that allows us to determine the full time evolution analytically. While a single insertion of a local operator gives rise to a logarithmic time profile of entanglement entropy relative to the vacuum, we find that this growth is heavily suppressed in the presence of a mixed-state quench, reducing it to a time-independent constant bump. The degree of suppression depends on the relative position of the quenches as well as the ratio of regularization parameters associated with the quenches. This work sheds light on the interesting properties of gravitational scattering involving black holes.