Correlation Functions and Einstein Locality

Marlan O. Scully, Yakir Aharonov, Berthold‐Georg Englert

Paweł Caban, Jakub Rembieliński, Patrycja Rybka +2 more

We calculate correlation functions for a relativistic Einstein-Podolsky-Rosen--type experiment with massive Dirac particles. We take into account the influence of the Newton-Wigner localization and perform the calculations for a couple of physically interesting states. In particular, we show that localization inside detectors does not significantly affect correlation functions in the case when localization regions are macroscopic or in the case when Einstein-Podolsky-Rosen particles are in a definite momentum state (irrespectively of the size of localization regions).

F. Selleri

Paweł Caban, Jakub Rembieliński

We analyse the correlation function in Einstein-Podolsky-Rosen experiment with relativistic massive particles. We show that in the wide range of parameters the correlation function has local extrema as a function of momentum of the EPR particles.

Shasanka Mohan Roy, Virendra Singh

For multiparticle systems we formulate the notions of signal locality (i.e., absence of faster-than-light signaling) and Einstein-Bell locality (or local realism) and obtain inequalities between experimental correlation functions to test them. Quantum theory obeys signal locality but violates Einstein-Bell locality by a factor ${2}^{(\mathit{n}\mathrm{\ensuremath{-}}1)/2}$ for n-particle systems.

Elihu Lubkin