Entangled spinning particles in charged and rotating black holes

TL;DR

This paper investigates how spin entanglement of particles orbiting a Kerr-Newman black hole is affected by gravity and frame-dragging, revealing that entanglement quality degrades due to these effects.

Contribution

It introduces a method to analyze spin precession of entangled particles in rotating black holes using hovering observers, accounting for frame-dragging and dynamical effects.

Findings

Spin precession angle is explicitly computed considering frame-dragging.

Entanglement fidelity decreases due to gravitational and dynamical effects.

Analysis of various parameter limits highlights the impact on spin correlations.

Abstract

Spin precession for an EPR pair of spin-1/2 particles in equatorial orbits around a Kerr-Newman black hole is studied. Hovering observers are introduced to ensure fixed reference frames in order to perform the Wigner rotation. These observers also guarantee a reliable direction to compare spin states in rotating black holes. The velocity of the particle due frame-dragging is explicitly incorporated by addition of velocities with respect the hovering observers and the corresponding spin precession angle is computed. The spin-singlet state is observed to be mixed with the spin-triplet by dynamical and gravity effects, thus it is found that a perfect anti-correlation of entangled states for these observers is deteriorated. Finally, an analysis concerning the different limit cases of parameters of spin precession including the frame-dragging effects is carried out.