Abstract
In this paper we construct time-dependent solutions of three-dimensional gravity in anti--de Sitter 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 $1+1$ conformal field theory 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.
Highlights
Conformal field theories (CFTs) [1] often serve as laboratories for interesting phenomena in physics
One particular class of interesting problems successfully tackled by the CFT methods in the last couple of decades are the problems related to out-of-equilibrium dynamics of quantum systems [2,3,4,5,6,7]
In this work we will focus on the discussion of timedependent dynamics from the point of view of a specific setup in the anti–de Sitter (AdS)/CFT correspondence introduced by Takayanagi [47]
Summary
Conformal field theories (CFTs) [1] often serve as laboratories for interesting phenomena in physics. In this work we will focus on the discussion of timedependent dynamics from the point of view of a specific setup in the AdS/CFT correspondence introduced by Takayanagi [47] This setup was dubbed AdS/BCFT as it refers to a gravity dual description of systems with boundaries, which are amenable to treatment by means of boundary conformal field theories, or BCFTs [48,49]. Holographic models of such quenches were perhaps originally considered in Refs.
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