Generation of maximally entangled states with sub-luminal Lorentz boost

TL;DR

This paper explores how Lorentz boosts affect entanglement in relativistic quantum systems, revealing that maximal entanglement can occur at sub-luminal speeds and that near-light boosts may reduce entanglement, with a geometric explanation provided.

Contribution

It extends previous studies by analyzing general boost geometries, showing maximal entanglement at sub-luminal speeds, and offers a geometric understanding of this phenomenon.

Findings

Maximal entanglement occurs at boosts less than the speed of light.

Boosts near the speed of light may decrease entanglement.

A geometric explanation accounts for the entanglement behavior.

Abstract

Recent work has studied entanglement between the spin and momentum components of a single spin-1/2 particle and showed that maximal entanglement is obtained only when boosts approach the speed of light. Here we extend the boost scenario to general geometries and show that, intriguingly, maximal entanglement can be achieved with boosts less than the speed of light. Boosts approaching the speed of light may even decrease entanglement. We also provide a geometric explanation for this behavior.