Entanglement Phase Transition in Holographic Pseudo Entropy
- URL: http://arxiv.org/abs/2311.13201v1
- Date: Wed, 22 Nov 2023 07:09:19 GMT
- Title: Entanglement Phase Transition in Holographic Pseudo Entropy
- Authors: Hiroki Kanda, Taishi Kawamoto, Yu-ki Suzuki, Tadashi Takayanagi, Kenya
Tasuki, Zixia Wei
- Abstract summary: We present holographic descriptions of entanglement phase transition using AdS/BCFT.
We analytically calculate the holographic pseudo entropy in the AdS/BCFT model with a brane localized scalar field.
- Score: 0.047122827708196834
- License: http://creativecommons.org/licenses/by/4.0/
- 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.
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