Radiative process of two entanglement atoms in de Sitter spacetime

TL;DR

This paper studies how two entangled atoms interact with quantum fields in de Sitter spacetime, revealing how entanglement can be generated or degraded depending on their separation and the spacetime's properties.

Contribution

It provides a quantitative analysis of vacuum fluctuations and radiation reaction effects on entanglement dynamics in de Sitter spacetime, extending previous understanding to curved spacetime contexts.

Findings

Entanglement generation and degradation depend on atomic separation.

Behavior differs from thermal Minkowski spacetime at large distances.

Entanglement dynamics are influenced by spacetime curvature and atom distance.

Abstract

We investigate the radiative processes of a quantum system composed by two identical two-level atoms in the de Sitter spacetime, interacting with a conformally coupled massless scalar field prepared in the de Sitter-invariant vacuum. We discuss the structure of the rate of variations of the atomic energy for two static atoms. Following a procedure developed by Dalibard, Dupont-Roc and Cohen-Tannoudji, our intention is to identify in a quantitative way the contributions of vacuum fluctuations and the radiation reaction to the generation of quantum entanglement and to the degradation of entangled states. We find that when the distance between two atoms larger than the characteristic length scale, the rate of variation of atomic energy in the de Sitter-invariant vacuum behaves differently compared with that in the thermal Minkowski spacetime. In particular, the generation and degradation of quantum entanglement can be enhanced or inhibited, which are dependent not only on the specific entangled state but also on the distance between the atoms.