Comments on holographic entanglements in cutoff AdS

Abstract

We study two-interval holographic entanglement entropy and entanglement wedge cross section in cutoff AdS. In particular, we investigate phase transitions of them. For two-interval entanglement entropy, the transition point monotonically decreases with a deformation parameter, which means that by the TT deformation the degrees of freedom in subsystems are decreasing. This implies that the effect of the TT deformation can be regarded as the rescaling of the energy scale. We also study entanglement wedge cross section in cutoff AdS, and our result implies that for the entanglement of purification in the TT deformed CFTs phase transition could occur even for fixed subsystems.

18 pages. v2: minor corrections

References in corpus (8)

• On space of integrable quantum field theories
• $T\bar{T}$-deformed 2D Quantum Field Theories
• Entanglement entropy of two disjoint intervals in conformal field theory II
• Entanglement Entropy at Large Central Charge
• Expectation value of composite field $T\bar{T}$ in two-dimensional quantum field theory
• Entanglement Entropy for $TT$ deformed CFT in general dimensions
• Comments on Holographic Entanglement Entropy in TT Deformed CFTs
• Holographic Entanglement Entropy in Cutoff AdS

Cited by in corpus (7)

• A pedagogical review on solvable irrelevant deformations of 2d quantum field theory
• Entanglement and Rényi Entropy of Multiple Intervals in $T\overline{T}$-Deformed CFT and Holography
• Quantum and Classical Correlations Inside the Entanglement Wedge
• KdV charges in $T\bar{T}$ theories and new models with super-Hagedorn behavior
• Surface/State correspondence and $T\overline{T}$ deformation
• Non-equilibrium dynamics in Holography
• General solutions in Chern-Simons gravity and $T\bar{T}$-deformations