Entanglement redistribution in the Schwarzschild spacetime

TL;DR

This paper explores how Hawking radiation affects entanglement and mutual information redistribution in Schwarzschild spacetime, revealing that accessible correlations decrease while inaccessible ones increase with temperature, reaching a specific limit at infinite temperature.

Contribution

It provides a detailed analysis of entanglement redistribution due to Hawking radiation, highlighting the asymptotic behavior of correlations at high temperatures.

Findings

Accessible correlations degrade with increasing Hawking temperature.

Unaccessible correlations increase as temperature rises.

At infinite temperature, mutual information halves, indicating significant entanglement redistribution.

Abstract

The effect of Hawking radiation on the redistribution of the entanglement and mutual information in the Schwarzschild spacetime is investigated. Our analysis shows that the physically accessible correlations degrade while the unaccessible correlations increase as the Hawking temperature increases because the initial correlations described by inertial observers are redistributed between all the bipartite modes. It is interesting to note that, in the limit case that the temperature tends to infinity, the accessible mutual information equals to just half of its initial value, and the unaccessible mutual information between mode $A$ and $II$ also equals to the same value.