CFT derivation of entanglement phase transition in pseudo entropy
Hiroki Kanda, Tadashi Takayanagi, and Zixia Wei
TL;DR
This paper investigates the entanglement phase transition in pseudo entropy within conformal field theories, using BCFT methods and holographic duality to analyze the effects of boundary condition changing operators.
Contribution
It introduces a novel analysis of pseudo entropy phase transitions in CFTs with boundary condition changing operators, validated by holographic duality.
Findings
Identifies a phase transition in pseudo entropy related to boundary condition changing operators' conformal weight.
Confirms CFT results match holographic AdS evaluations.
Provides a new framework for understanding entanglement transitions in boundary CFTs.
Abstract
In this paper, we discuss the entanglement phase transition of pseudo entropy in CFTs. We focus on the case where the in-state and the out-state are different boundary states related by boundary condition changing operators. We compute the pseudo entropy with BCFT methods and find a phase transition with respect to the conformal weight of the boundary condition changing operators. For holographic CFTs, we confirm that the CFT results match that evaluated in AdS.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Quantum many-body systems · Quantum Information and Cryptography