Entanglement entropy of $\alpha$-vacua in de Sitter space

Abstract

We consider the entanglement entropy of a free massive scalar field in the one parameter family of $\alpha$-vacua in de Sitter space by using a method developed by Maldacena and Pimentel. An $\alpha$-vacuum can be thought of as a state filled with particles from the point of view of the Bunch-Davies vacuum. Of all the $\alpha$-vacua we find that the entanglement entropy takes the minimal value in the Bunch-Davies solution. We also calculate the asymptotic value of the Rényi entropy and find that it increases as $\alpha$ increases. We argue these feature stem from pair condensation within the non-trivial $\alpha$-vacua where the pairs have an intrinsic quantum correlation.

23 pages, 6 figures. Two figures and references added

References in corpus (1)

• Observer dependence of bubble nucleation and Schwinger pair production

Cited by in corpus (22)

• de Sitter extremal surfaces
• Quantum discord in de Sitter space
• Entangled de Sitter from Stringy Axionic Bell pair I: An analysis using Bunch Davies vacuum
• Impact of quantum entanglement on spectrum of cosmological fluctuations
• Infinite violation of Bell inequalities in inflation
• Entanglement negativity in the multiverse
• Would quantum coherence be increased by curvature effect in de Sitter space?
• The Cosmological OTOC: Formulating new cosmological micro-canonical correlation functions for random chaotic fluctuations in Out-of-Equilibrium Quantum Statistical Field Theory
• Entanglement and Expansion
• The Cosmological OTOC: A New Proposal for Quantifying Auto-Correlated Random Non-Chaotic Primordial Fluctuations
• Entanglement in Cosmology
• The Casimir densities for a sphere in the Milne universe
• Entanglement negativity in de Sitter biverse from Stringy Axionic Bell pair: An analysis using Bunch-Davies vacuum
• Mean field squared and energy-momentum tensor for the hyperbolic vacuum in dS spacetime
• Impact of quantum entanglement induced by magnetic fields on primordial gravitational waves
• Symmetry Resolved Entanglement Entropy in Hyperbolic de Sitter Space
• Spacetime Entanglement Entropy of de Sitter and Black Hole Horizons
• Distribution and generation of quantum coherence for Gaussian states in de Sitter space
• Quantum Fisher information of a cosmic qubit undergoing non-Markovian de Sitter evolution
• Cosmological Geometric Phase From Pure Quantum States: A study without/with having Bell's inequality violation
• Casimir densities induced by a sphere in the hyperbolic vacuum of de Sitter spacetime
• The area and volume laws for entanglement of scalar fields in flat and cosmological spacetimes