Strange behavior of the relativistic Einstein-Podolsky-Rosen correlations

TL;DR

This paper reveals that in relativistic EPR experiments, correlation functions and Bell inequality violations exhibit local extrema at certain particle velocities, a phenomenon observed across different spin operators and particle types.

Contribution

It demonstrates the existence of local extrema in correlation functions and Bell violations in relativistic EPR setups, highlighting complex velocity-dependent behaviors.

Findings

Correlation functions have local extrema at specific velocities.

Bell inequality violations also show local extrema.

Behavior is consistent across different spin operators and particle spins.

Abstract

We show that configurations exist in which the correlation functions and the degree of violation of Bell-type inequalities in the relativistic Einstein-Podolsky-Rosen (EPR) experiment have local extrema for some values of the velocities of the EPR particles. Moreover, this strange behavior can be observed for both discussed relativistic spin operators and for spin-1/2 as well as spin-1 particles.