Long-range enhanced mutual information from inflation

Abstract

The quantum origin of cosmological primordial perturbations is a cornerstone framework in the interplay between gravity and quantum physics. In this paper we study the mutual information between two spatial regions in a radiation-dominated universe filled by a curvature perturbation field in a squeezed state. We find an enhancement with respect to the usual mutual information of the Minkowski vacuum due to momentum modes affected by particle production during inflation. This result supports our previous claim of the existence of long-range correlations between Primordial Black Holes (PBH) at formation during the radiation era.

16 pages, 3 figures. New results include additional enhancement of the mutual information during the radiation era. Typos corrected; section III extended; appendix, references and comments added. Matches version accepted by PRD

References in corpus (3)

• The exponential tail of inflationary fluctuations: consequences for primordial black holes
• Signals of a Quantum Universe
• Entanglement Entropy of Cosmological Perturbations

Cited by in corpus (3)

• Real-space entanglement in the Cosmic Microwave Background
• Real-space Bell inequalities in de Sitter
• Time evolution of the mutual information between disjoint regions in the Universe