Strange behavior of the relativistic Einstein-Podolsky-Rosen correlations

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.

5 figures

References in corpus (4)

• Lorentz-covariant reduced spin density matrix and EPR-Bohm correlations
• Einstein-Podolsky-Rosen correlations of Dirac particles - quantum field theory approach
• Einstein-Podolsky-Rosen correlations of vector bosons
• Helicity correlations of vector bosons

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• Is bound entanglement Lorentz invariant?
• Thomas--Wigner rotation as a holonomy for spin-$1/2$ particles
• Effect of Wigner rotation on estimating unitary-shift parameter of relativistic spin-1/2 particle
• Low degree Lorentz invariant polynomials as potential entanglement invariants for multiple Dirac spinors