Vacuum state in de Sitter spacetime with static charts

Abstract

We study the free massive scalar field in de Sitter spacetime with static charts. In particular, we find positive-frequency modes for the Bunch-Davies vacuum state natural to the static charts as superpositions of the well-known positive-frequency modes in the conformally-flat chart. We discuss in detail how these modes are defined globally in the two static charts and the region in their future. The global structure of these solutions leads to the well-known description of the Bunch-Davies vacuum state as an entangled state. Our results are expected to be useful not only for studying the thermal properties in the vacuum fluctuations in de Sitter spacetime but also for understanding the nonlocal properties of the vacuum state.

15 pages, 3 figures, revised version, accepted for publication in PRD

References in corpus (10)

• The Unruh effect and its applications
• Entanglement entropy of $\alpha$-vacua in de Sitter space
• Quantum discord in de Sitter space
• Impact of quantum entanglement on spectrum of cosmological fluctuations
• Entanglement of the Vacuum between Left, Right, Future, and Past: The Origin of Entanglement-Induced Quantum Radiation
• Harvesting large scale entanglement in de Sitter space with multiple detectors
• Entanglement negativity in the multiverse
• Entanglement dynamics in de Sitter spacetime
• Quantum radiation produced by the entanglement of quantum fields
• Quantum Cramer-Rao bound for a Massless Scalar Field in de Sitter Space

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• Emergent $\alpha$-like fermionic vacuum structure and entanglement in the hyperbolic de Sitter spacetime
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