Genuine tripartite nonlocality and entanglement in curved spacetime

TL;DR

This paper investigates how Hawking radiation affects genuine tripartite nonlocality and entanglement in Dirac fields near a Schwarzschild black hole, revealing degradation, sudden death, and the inability of Hawking radiation to generate certain nonlocal correlations.

Contribution

It provides new insights into the behavior of tripartite nonlocality and entanglement in curved spacetime, especially under Hawking radiation, and distinguishes between accessible and inaccessible quantum correlations.

Findings

Hawking radiation degrades both GTN and GTE.

GTN experiences sudden death at a critical Hawking temperature.

Hawking effect cannot generate physically inaccessible GTN, but can generate GTE.

Abstract

We study the genuine tripartite nonlocality (GTN) and the genuine tripartite entanglement (GTE) of Dirac fields in the background of a Schwarzschild black hole. We find that the Hawking radiation degrades both the physically accessible GTN and the physically accessible GTE. The former suffers from "sudden death" at some critical Hawking temperature, and the latter approaches to the nonzero asymptotic value in the limit of infinite Hawking temperature. We also find that the Hawking effect cannot generate the physically inaccessible GTN, but can generate the physically inaccessible GTE for fermion fields in curved spacetime. These results show that on the one hand the GTN cannot pass through the event horizon of black hole, but the GTE do can, and on the other hand the surviving physically accessible GTE and the generated physically inaccessible GTE for fermions in curved spacetime are all not nonlocal. Some monogamy relations between the physically accessible GTE and the physically inaccessible GTE are found.