Generation of genuine tripartite entanglement for continuous variables in de Sitter space

TL;DR

This paper investigates how the curvature of de Sitter space influences the generation of genuine tripartite and bipartite entanglement among continuous variable modes in causally disconnected regions, revealing curvature-induced entanglement dynamics.

Contribution

It demonstrates that de Sitter space curvature can generate genuine tripartite entanglement among open chart modes, even with nonzero squeezing, and analyzes the sensitivity of entanglement to mass parameters.

Findings

Genuine tripartite entanglement is generated by de Sitter curvature for any nonzero squeezing.

Bipartite entanglement can also be generated when curvature is strong enough, despite causal separation.

Curvature-generated tripartite entanglement is less sensitive to mass parameters than bipartite entanglement.

Abstract

We study the distribution of quantum entanglement for continuous variables among causally disconnected open charts in de Sitter space. It is found that genuine tripartite entanglement is generated among the open chart modes under the influence of curvature of de Sitter space for any nonzero squeezing. Bipartite entanglement is also generated when the curvature is strong enough, even though the observers are separated by the event horizon. This provides a clearcut interpretation of the two-mode squeezing mechanism in the de Sitter space. In addition, the curvature generated genuine tripartite entanglement is found to be less sensitive to the mass parameter than the generated bipartite entanglement. The effects of the curvature of de Sitter space on the generated entanglement become more apparent in the limit of conformal and massless scalar fields.