Iván Agulló, Béatrice Bonga, Patricia Ribes-Metidieri
Abstract We investigate the entanglement content of a free, light scalar field theory in the Bunch–Davies vacuum within the cosmological patch of de Sitter spacetime, focusing on how entanglement varies with the Hubble rate H . We find that the entanglement between any spacelike-separated pair of field modes localized in finite regions decreases as H increases. This occurs despite the fact that correlations between such local modes increase with H . Consequently, these correlations do not contribute to entanglement. Our analysis elucidates how entanglement is distributed in de Sitter space and demonstrates that localized field modes at the end of inflation are less entangled than they would be in the Minkowski vacuum of flat spacetime.