Relativistic entanglement of two particles driven by continuous product momenta

TL;DR

This paper investigates how relativistic boosts affect the entanglement of two spin-1/2 particles with Gaussian distributed momenta, revealing the dynamics of quantum correlations under relativistic transformations.

Contribution

It systematically analyzes the impact of different boost scenarios on spin entanglement using Bell states and Gaussian momenta distributions.

Findings

Entanglement varies with boost velocity and direction.

Spin concurrence changes depend on boost parameters.

Visualization clarifies entanglement dynamics in relativistic frames.

Abstract

In this paper we explore the entanglement of two relativistic spin-$1/2$ particles with continuous momenta. The spin state is described by the Bell state and the momenta are given by Gaussian distributions of product form. Transformations of the spins are systematically investigated in different boost scenarios by calculating the orbits and concurrence of the spin degree of freedom. By visualizing the behavior of the spin state we get further insight into how and why the entanglement changes in different boost situations.