Entanglement of coupled massive scalar field in background of dilaton black hole

TL;DR

This paper studies how entanglement of a coupled massive scalar field behaves in the spacetime of a dilaton black hole, revealing that entanglement decreases with the dilaton parameter and that in extreme cases, only classical correlations remain.

Contribution

It provides new insights into the behavior of quantum entanglement in dilaton black hole backgrounds, especially in extreme black hole limits.

Findings

Entanglement is independent of particle mass and coupling.

Entanglement decreases as the dilaton parameter increases.

No distillable entanglement in the extreme black hole limit, but nonzero mutual information remains.

Abstract

The entanglement of the coupled massive scalar field in the spacetime of a Garfinkle-Horowitz-Strominger(GHS) dilaton black hole has been investigated. It is found that the entanglement does not depend on the mass of the particle and the coupling between the scalar field and the gravitational field, but it decreases as the dilaton parameter $D$ increases. It is interesting to note that in the limit of $D\to M$, corresponding to the case of an extreme black hole, the state has no longer distillable entanglement for any state parameter $\alpha$, but the mutual information equals to a nonvanishing minimum value, which indicates that the total correlations consist of classical correlations plus bound entanglement in this limit.