Creation of two vortex-entangled beams in a vortex beam collision with a plane wave

TL;DR

This paper demonstrates that elastic scattering between vortex beams and plane waves can produce entangled particle pairs with orbital angular momentum, opening new avenues for quantum entanglement and phase transfer in particle physics.

Contribution

It introduces a novel collision process where vortex-beam scattering results in vortex-entangled outgoing particles, expanding the understanding of entanglement generation in quantum optics and particle physics.

Findings

Elastic scattering of vortex beams produces entangled outgoing particles.

Entanglement involves orbital helicities and opening angles of momentum cones.

Applicable to various particle pairs, enabling phase vortex transfer.

Abstract

Physics of photons and electrons carrying orbital angular momentum (OAM) is an exciting field of research in quantum optics and electron microscopy. Usually, one considers propagation of these vortex beams in a medium or external fields and their absorption or scattering on fixed targets. Here we consider instead a beam-beam collision. We show that elastic scattering of a Bessel vortex beam with a counterpropagating plane wave naturally leads to two vortex-entangled outgoing beams. The vortex entanglement implies that the two final particles are entangled not only in their orbital helicities but also in opening angles of their momentum cones. Our results are driven by kinematics of vortex-beam scattering and apply to particle pairs of any nature: e-gamma, e^+e^-, ep, etc. This collisional vortex entanglement can be used to create pairs of OAM-entangled particles of different nature, and to transfer a phase vortex, for example, from low-energy electrons to high-energy protons.