Entanglement between accelerated probes in a de Sitter spacetime

TL;DR

This paper explores how vacuum entanglement between accelerated quantum probes behaves in de Sitter spacetime, revealing that entanglement varies independently with acceleration and curvature, unlike single-probe responses.

Contribution

It provides exact results on vacuum entanglement between accelerated probes in curved spacetime, highlighting differences from single-probe behavior and the lack of a simple effective acceleration mapping.

Findings

Interaction creates non-local correlations between uncorrelated probes.

Entanglement varies independently with acceleration and curvature.

No universal mapping exists for entanglement as in single-probe responses.

Abstract

We initiate an investigation into features of vacuum entanglement as probed by accelerated quantum probes in curved spacetime. Focussing specifically on de Sitter (dS) spacetime with curvature $\Lambda$, we obtain several exact results corresponding to different kinematical set-up of the probes. The interaction with the quantum field creates a non-local correlation between initially uncorrelated probes accelerating in different directions. It is well known that a single quantum probe in dS spacetime with uniform acceleration $a$ responds exactly as a quantum probe in Minkowski spacetime with "effective" acceleration $q \equiv\sqrt{a^2+\Lambda}$. However, no such mapping generically exists for the entanglement between probes. Our results suggest that entanglement exhibits independent variations with changes in acceleration and curvature depending on different configurations of detector motion.