Generating entangled pairs of vortex photons via induced emission

TL;DR

This paper explores a method to generate entangled vortex photon pairs through induced emission from a two-level atom, with potential applications in quantum computing and cryptography.

Contribution

It introduces a model for generating entangled vortex photon pairs via induced emission with controlled angular momentum properties.

Findings

Entangled pairs have well-defined mean TAM with minimal variation.

Variation in TAM decreases exponentially with incident photon TAM.

The process is experimentally feasible with atomic targets.

Abstract

Pairs of entangled vortex photons can promise new prospects of application in quantum computing and cryptography. We investigate the possibility of generating such states via two-level atom emission induced by a single photon wave packet with a definite total angular momentum (TAM). The entangled pair produced in this process possesses well-defined mean TAM with the TAM variation being much smaller than $\hbar$. On top of that, the variation exponentially decreases with the increase in TAM of the incident photon. Our model allows one to track the time evolution of the state of the entangled pair. An experimentally feasible scenario is assumed, in which the incident photon interacts with a spatially confined atomic target. We conclude that induced emission can be used as a source of entangled vortex photons with applications in atomic physics experiments, quantum optics, and quantum information sciences.