Nonlocal correlations for bosonic fields in black hole quantum atmosphere

TL;DR

This paper investigates how the quantum atmosphere around black holes affects nonlocal quantum correlations in bosonic fields, revealing a decay of correlations with distance from the horizon, contrasting with fermionic cases.

Contribution

It extends previous fermionic studies by analyzing bosonic quantum correlations influenced by the black hole's quantum atmosphere, using measurement-induced nonlocality as a quantifier.

Findings

Bosonic nonlocal correlations degrade with distance from the horizon.

Correlations vanish at large distances, showing a pronounced decay.

Bosonic fields respond more strongly to the quantum atmosphere than fermionic fields.

Abstract

Recent theoretical studies propose that Hawking radiation may not emerge strictly at the event horizon but rather from the spatially extended region surrounding a black hole, commonly referred to as the quantum atmosphere. In this work, we explore how this concept influences nonlocal quantum correlations in a bosonic bipartite system located at certain distance from a Schwarzschild black hole. By employing the measurement-induced nonlocality (MIN), as a quantifier of quantum correlations, we analyze the response of bosonic fields to the thermal and geometric characteristics associated with the Hartle-Hawking vacuum. In this manner, we extend previous studies that primarily focused on the fermionic systems. Our results reveal that, when quantum atmosphere is taken into account, the behavior of MIN departs from its conventional near-horizon profile. In particular, bosonic nonlocal correlations are found to exhibit a pronounced degradation at a finite radial distance from the event horizon and to ultimately vanish as scaled distance increases further. To some extent this behavior contrasts with the previously considered fermionic case, indicating that bosonic fields provide potentially stronger response to the quantum atmosphere.