Pseudo Entropy in dS/CFT and Time-like Entanglement Entropy

Abstract

We study holographic entanglement entropy in dS/CFT and introduce time-like entanglement entropy in CFTs. Both of them take complex values in general and are related with each other via an analytical continuation. We argue that they are correctly understood as pseudo entropy. We find that the imaginary part of pseudo entropy implies an emergence of time in dS/CFT.

5 pages, 5 figures. v2: References added, minor clarifications

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Cited by in corpus (51)

• de Sitter space, extremal surfaces and "time-entanglement"
• On holographic time-like entanglement entropy
• From time-reversal symmetry to quantum Bayes' rules
• Temporal Entanglement in Chaotic Quantum Circuits
• Time-like Entanglement Entropy in AdS/BCFT
• Constructible reality condition of pseudo entropy via pseudo-Hermiticity
• SVD Entanglement Entropy
• Geometric Interpretation of Timelike Entanglement Entropy
• Temporal Entanglement Entropy as a probe of Renormalization Group Flow
• Entanglement Phase Transition in Holographic Pseudo Entropy
• On temporal entropy and the complexity of computing the expectation value of local operators after a quench
• Bulk reconstruction using timelike entanglement in (A)dS
• Extremal surfaces in glue-on AdS/$T\bar{T}$ holography
• Massless Lifshitz Field Theory for Arbitrary $z$
• Pseudo entropy under joining local quenches
• Complex saddles of three-dimensional de Sitter gravity via holography
• Traversable AdS Wormhole via Non-local Double Trace or Janus Deformation
• Holographic Timelike Entanglement Entropy from Rindler Method
• Flat-Space Limit of Holographic Pseudo Entropy in (A)dS Spacetimes
• Probing de Sitter Space Using CFT States
• Relation between time- and spacelike entanglement entropy
• Spacetime quantum and classical mechanics with dynamical foliation
• Pseudo entropy and pseudo-Hermiticity in quantum field theories
• Sum rule for the pseudo-Rényi entropy
• Loschmidt echo, emerging dual unitarity and scaling of generalized temporal entropies after quenches to the critical point
• Path Integrals from Spacetime Quantum Actions
• Holographic $T\bar{T}$ deformation of the entanglement entropy in (A)dS${}_3$/CFT${}_2$
• $dS$ extremal surfaces, replicas, boundary Renyi entropies in $dS/CFT$ and time entanglement
• Complex entanglement entropy for complex conformal field theory
• Cosmological model based on both holographic-like connection and Padmanabhan's holographic equipartition law
• Horizon causality from holographic scattering in asymptotically dS${}_3$
• Duality of Ryu-Takayanagi surfaces inside and outside the horizon
• Thermodynamic law and holography dual of accelerating and rotating black hole in Nariai limit
• Measuring the Black Hole Interior from the Exterior
• Non-extremal Island in de Sitter Gravity
• Field theory aspects of $\eta$-deformed superstring background
• Holographic timelike entanglement in AdS${}_3$ Vaidya
• Toward a Unified de Sitter Holography: A Composite $T\bar{T}$ and $T\bar{T}+{\Lambda }_2$ Flow
• Measuring temporal entropies in experiments
• Spacetime quantum mechanics for bosonic and fermionic systems
• Entangled universes
• Detecting quantum chaos via pseudo-entropy
• Renyi reflected entropy and entanglement wedge cross section with cosmic branes in AdS/BCFT
• Holographic CCFT Pseudo-Entropy
• Holographic timelike entanglement and $c$ theorem for supersymmetric QFTs in ($0+1$)d
• The ITransverse.jl library for transverse tensor network contractions
• Timelike entanglement and central charge for quantum BTZ black holes
• Holographic timelike entanglement and subregion complexity with scalar hair
• Holographic AME states in black hole interiors
• Composite AdS geodesics for CFT correlators and timelike entanglement entropy
• Generalised Entanglement Entropies from Unit-Invariant Singular Value Decomposition