Survival of nonclassical correlations in Lorentz-violating spacetime

TL;DR

This paper explores how Lorentz violation, a quantum gravity signature, affects nonlocal quantum correlations near an Einstein-Bumblebee black hole, revealing their persistence and modulation by spacetime parameters.

Contribution

It demonstrates the confinement and modulation of quantum steering and Bell nonlocality in Lorentz-violating black hole spacetime, highlighting their persistence beyond classical expectations.

Findings

Quantum steering is confined near the event horizon and influenced by Lorentz violation.

Bell nonlocality outside the black hole increases with distance from the horizon.

Lorentz-violating parameters significantly affect the asymmetry and strength of quantum correlations.

Abstract

The breakdown of Lorentz invariance, a potential signature of quantum gravity, offers a window into physics beyond general relativity. We investigate how such a violation, embodied by the Einstein-Bumblebee black hole spacetime, influences the nonlocal quantum correlations. Specifically, we study the quantum steering and Bell nonlocality between modes trapped inside and outside the event horizon of an Einstein-Bumblebee black hole. Our analysis demonstrates that quantum steering for an initially correlated state is confined to a narrow region near the event horizon, with the Lorentz-violating parameter further constraining this domain. Notably, the degree of steering asymmetry is significantly modulated by both the distance from the horizon and the Lorentz-violating parameter, with the two spatially separated regions exhibiting opposite trends. Furthermore, the Bell nonlocality measurable by an external observer strengthens with increasing distance from the black hole. These findings confirm the persistence of nonclassical correlations in a Lorentz-violating gravitational background and and offer a novel perspective on the interplay between quantum information and fundamental spacetime symmetries.