Entanglement in De Sitter Space

Abstract

This paper expands on two recent proposals, \cite{Susskind:2021dfc}\cite{Susskind:2021esx} and \cite{Shaghoulian:2021cef}, for generalizing the Ryu-Takayanagi and Hubeny-Rangamani-Takayanagi formulas to de Sitter space. The proposals (called the monolayer and bilayer proposals) are similar; both replace the boundary of AdS by the boundaries of static-patches--in other words event horizons. After stating the rules for each, we apply them to a number of cases and show that they yield results expected on other grounds. The monolayer and bilayer proposals often give the same results, but in one particular situation they disagree. To definitively decide between them we need to understand more about the nature of the thermodynamic limit of holographic systems.

26 pages, many figures

References in corpus (4)

• Universal Spectrum of 2d Conformal Field Theory in the Large c Limit
• Gravity/Ensemble Duality
• Towards a quantum theory of de Sitter space
• Entanglement between Two Interacting CFTs and Generalized Holographic Entanglement Entropy

Cited by in corpus (13)

• Finite Features of Quantum De Sitter Space
• Covariant bit threads
• Interpolating geometries and the stretched dS${}_2$ horizon
• Complex geodesics in de Sitter space
• Encoding beyond cosmological horizons in de Sitter JT gravity
• Logarithmic Corrections, Entanglement Entropy, and UV Cutoffs in de Sitter Spacetime
• Late-Time Correlators and Complex Geodesics in de Sitter Space
• Black Hole and de Sitter Microstructures from a Semiclassical Perspective
• Quantum Error Correction in the Black Hole Interior
• Islands in Proliferating de Sitter Spaces
• Non-Isometric Quantum Error Correction in Gravity
• Thread/State correspondence: from bit threads to qubit threads
• On the Spread of Entanglement at Finite Cutoff