Helicity Entanglement of Moving Bodies

TL;DR

This paper studies how the entanglement of helicity states of moving particles changes under Lorentz transformations, revealing that helicity entanglement is frame-dependent and can be generated by changing reference frames.

Contribution

It demonstrates that helicity entanglement is not Lorentz invariant and can be created through reference frame transformations, unlike spin entanglement.

Findings

Helicity entanglement varies with Lorentz transformations.

Wootters concurrence is not invariant for helicity states.

Helicity and spin entanglement behave differently under Lorentz boosts.

Abstract

We investigate the Lorentz transformation of the reduced helicity density matrix for a pair of massive spin 1/2 particles. The corresponding Wootters concurrence shows no invariant meaning, which implies that we can generate helicity entanglement simply by the transformation from one reference frame to another. The difference between the helicity and spin case is also discussed.