Bubble quenches in the AdS/BCFT model

TL;DR

This paper develops time-dependent holographic solutions in AdS/BCFT to study quantum quenches, specifically bubble nucleation, revealing universal entanglement entropy growth and late-time saturation behaviors.

Contribution

It introduces new time-dependent AdS/BCFT solutions for boundary conformal field theories and analyzes their entanglement entropy dynamics during bubble nucleation.

Findings

Entanglement entropy grows logarithmically at early times.

Late-time behavior shows light-cone spreading and saturation.

Finite temperature case exhibits linear growth after initial logarithmic increase.

Abstract

In this paper we construct time-dependent solutions of three-dimensional gravity in AdS space dual to systems with boundaries (BCFTs), following the AdS/BCFT prescription. Such solutions can be discussed in the context of the dynamics of first order phase transitions, or more generally, in the description of quantum quenches. As an example, we apply the holographic model to calculate the dynamics of the entanglement entropy of a local quench corresponding to a nucleation of a Euclidean bubble. As in the known 1+1 CFT examples of local cut and glue quenches, the holographic entanglement entropy grows logarithmically with time with the correct universal coefficient. However, in the bubble quench, the behavior is different at late times. The AdS/BCFT model exhibits the light-cone spreading of correlations and saturation at late times. We also find an analytical formula for the entropy at finite temperature. In the latter case the initial logarithmic growth is followed by the linear law at intermediate times.