On the Relativistic Invariance of Entanglement

TL;DR

This paper investigates how entanglement between spin and momentum degrees of freedom of spin-1 particles changes under Lorentz boosts, revealing that entanglement is generally not invariant and depends on boost velocity.

Contribution

It provides a detailed analysis of entanglement transformation for spin-1 particles under relativistic boosts, highlighting the dependence on boost velocity and initial states.

Findings

Entanglement between degrees of freedom is generally not invariant under Lorentz boosts.

The change in entanglement depends strongly on the boost velocity.

Different initial states exhibit varying entanglement behavior under boosts.

Abstract

In this work we study the entanglement properties under a Lorentz boost of a pair of spin- 1 massive particles, with spin and momentum as the sole degrees of freedom of the system. Different cases for entanglement between spins and momenta are considered as initial states and it is shown that entanglement between the different degrees of freedom is, in general, not invariant. We analyze the entanglement change in terms of the Wigner rotation induced by the transformation and show that, for the case of spin-1 particles, the relative entanglement change between different states depends strongly on the boost velocity.