De Sitter Space and Entanglement

Abstract

We argue that the notion of entanglement in de Sitter space arises naturally from the non-trivial Lorentzian geometry of the spacetime manifold, which consists of two disconnected boundaries and a causally disconnected interior. In four bulk dimensions, we propose an holographic description of an inertial observer in terms of a thermofield double state in the tensor product of the two boundaries Hilbert spaces, whereby the Gibbons--Hawking formula arises as the holographic entanglement entropy between the past and future conformal infinities. When considering the bulk entanglement between the two causally disconnected Rindler wedges, we show that the corresponding entanglement entropy is given by one quarter of the area of the pair of codimension two minimal surfaces that define the set of fixed points of the dS${}_4/{\mathbb{Z}}_q$ orbifold.

V4: 35 pages and 5 figures. Published version

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• General Relativistic Wormhole Connections from Planck-Scales and the ER = EPR Conjecture
• Conformal Boundary Condition and Massive Gravitons in AdS/BCFT
• On de Sitter Spacetime and String Theory
• Bridging the static patches: de Sitter holography and entanglement
• Liouville description of conical defects in dS${}_4$, Gibbons-Hawking entropy as modular entropy, and dS${}_3$ holography
• Logarithmic Corrections, Entanglement Entropy, and UV Cutoffs in de Sitter Spacetime
• Superhorizon entanglement from inflationary particle production
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• Evolution of thermodynamic quantities on cosmological horizon in $\Lambda (t)$ model
• Horizon entanglement area law from regular black hole thermodynamics
• The Cosmological OTOC: A New Proposal for Quantifying Auto-Correlated Random Non-Chaotic Primordial Fluctuations
• Primordial Gravitational Wave Circuit Complexity
• Dirac fermion, cosmological event horizons and quantum entanglement
• Modular Hamiltonian for de Sitter diamonds
• Closed FRW holography: A time-dependent ER=EPR realization
• Non-commutative Geometry from Perturbative Quantum Gravity in de Sitter spacetime
• Relative Entropy in de Sitter is a Noether Charge
• Replica Trick Calculation for Entanglement Entropy of Static Black Hole Spacetimes
• $dS$ extremal surfaces, replicas, boundary Renyi entropies in $dS/CFT$ and time entanglement
• Horizon thermodynamics and cosmological equations: A holographic-like connection between thermostatistical quantities on a cosmological horizon and in the bulk
• Entropy-area law and temperature of de Sitter horizons from modular theory
• Cosmological model based on both holographic-like connection and Padmanabhan's holographic equipartition law
• Microscopics of de Sitter Entropy from Precision Holography
• Horizon causality from holographic scattering in asymptotically dS${}_3$
• Symmetry Resolved Entanglement Entropy in Hyperbolic de Sitter Space
• Fermionic entanglement in the presence of background electric and magnetic fields
• Holographic thermodynamic relation for dissipative and non-dissipative universes in a flat FLRW cosmology
• Distribution and generation of quantum coherence for Gaussian states in de Sitter space
• Reconstructing the boundary of AdS from an infrared defect