Quantum correlations through event horizons: Fermionic versus bosonic entanglement

TL;DR

This paper investigates how quantum and classical correlations behave across event horizons for fermionic and bosonic fields, revealing the impact of particle statistics on entanglement and classical correlations, with implications for black hole information paradox.

Contribution

It compares fermionic and bosonic fields' correlations across horizons, uncovering conservation laws and the role of statistics in entanglement exchange.

Findings

Conservation laws for correlations across horizons

Statistics influence entanglement tradeoff

Differences between fermionic and bosonic correlations

Abstract

We disclose the behaviour of quantum and classical correlations among all the different spatial-temporal regions of a space-time with an event horizon, comparing fermionic with bosonic fields. We show the emergence of conservation laws for entanglement and classical correlations, pointing out the crucial role that statistics plays in the information exchange (and more specifically, the entanglement tradeoff) across horizons. The results obtained here could shed new light on the problem of information behaviour in non-inertial frames and in the presence of horizons, giving a better insight about the black hole information paradox.