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Arias, Cesar; Diaz, Felipe; Sundell, Per

De Sitter space and entanglement. (English) Zbl 1478.83022

Classical Quantum Gravity 37, No. 1, Article ID 015009, 24 p. (2020).
Summary: 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 \(\mathrm{dS}_4/\mathbb{Z}_q\) orbifold.

Cited in 17 Documents

MSC:

83C15 Exact solutions to problems in general relativity and gravitational theory
83E05 Geometrodynamics and the holographic principle
81P40 Quantum coherence, entanglement, quantum correlations
81P42 Entanglement measures, concurrencies, separability criteria

Keywords:

de Sitter gravity; holography; entanglement
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Full Text: DOI arXiv

References:

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