Measurement-induced nonlocality for observers near a black hole

TL;DR

This paper investigates how measurement-induced nonlocality, a quantum correlation measure, behaves near a black hole for different particle types and frequencies, revealing conditions under which correlations persist.

Contribution

It provides a systematic analysis of measurement-induced nonlocality for fermionic, bosonic, and mixed modes in black hole environments, highlighting the effects of Hawking temperature and frequency.

Findings

Correlations do not vanish in the fermionic case at infinite Hawking temperature.

Higher frequency modes can sustain correlations at finite Hawking temperature.

Mixed systems are more sensitive to frequency increases, affecting correlation persistence.

Abstract

We present a systematic and complementary study of quantum correlations near a black hole by considering the measurement-induced nonlocality (MIN). The quantum measure of interest is discussed on the same footing for the fermionic, bosonic and mixed fermion-boson modes in relation to the Hawking radiation. The obtained results show that in the infinite Hawking temperature limit, the physically accessible correlations does not vanish only in the fermionic case. However, the higher frequency modes can sustain correlations for the finite Hawking temperature, with mixed system being more sensitive towards increase of the fermionic frequencies than the bosonic ones. Since the MIN for the latter modes quickly diminishes, the increased frequency may be a way to maintain nonlocal correlations for the scenarios at the finite Hawking temperature.