Entanglement Phase Transition in Holographic Pseudo Entropy

TL;DR

This paper explores holographic descriptions of entanglement phase transitions using AdS/BCFT, analyzing scalar and gauge field models, and their bulk analogs, revealing different entropy evolution behaviors.

Contribution

It introduces new holographic models with brane-localized scalar and gauge fields to study entanglement phase transitions and their unique entropy evolution characteristics.

Findings

Scalar field model shows a transition from linear to trivial entropy growth.

Gauge field model lacks the logarithmic critical point.

Bulk analog exhibits logarithmic entropy growth.

Abstract

In this paper, we present holographic descriptions of entanglement phase transition using AdS/BCFT. First, we analytically calculate the holographic pseudo entropy in the AdS/BCFT model with a brane localized scalar field and show the entanglement phase transition behavior where the time evolution of entropy changes from the linear growth to the trivial one via a critical logarithmic evolution. In this model, the imaginary valued scalar field localized on the brane controls the phase transition, which is analogous to the amount of projections in the measurement induced phase transition. Next, we study the AdS/BCFT model with a brane localized gauge field, where the phase transition looks different in that there is no logarithmically evolving critical point. Finally, we discuss a bulk analog of the above model by considering a double Wick rotation of the Janus solution. We compute the holographic pseudo entropy in this model and show that the entropy grows logarithmically.