Relativistic Einstein-Podolsky-Rosen correlations for vector and tensor states

TL;DR

This paper investigates how relativistic effects influence quantum correlations in bipartite systems of spin-1/2 and spin-1 particles, revealing momentum-dependent correlation behaviors and differences based on spin operator choices.

Contribution

It provides a detailed analysis of relativistic correlation functions for vector and tensor states, highlighting their momentum dependence and the impact of different relativistic spin operators.

Findings

Correlation functions depend on particle momenta.

Relativistic correlation functions can have local extrema.

Different spin operators lead to significantly different correlation behaviors.

Abstract

We calculate and investigate the relativistic correlation function for bipartite systems of spin-1/2 in vector and spin-1 particles in tensor states. We show that the relativistic correlation function, which depends on particles momenta, may have local extrema. What is more, the momentum dependance of the correlation functions for two choices of relativistic spin operator may be significantly different.