Transverse coincidence-structures in spontaneous parametric down-conversion with orbital angular momentum: Theory

TL;DR

This paper provides a theoretical analysis of transverse coincidence-structures in spontaneous parametric down-conversion with orbital angular momentum, revealing azimuthal symmetry breaking and deriving analytical expressions for the process.

Contribution

It introduces a theoretical framework for understanding transverse coincidence-structures in SPDC with OAM, including analytical formulas considering nonlinear polarizability.

Findings

Azimuthal symmetry breaking observed in quantum images.

Analytical expressions derived for amplitude probability.

Insights into the role of nonlinear polarizability components.

Abstract

Coincidence-structures in the transverse plane of Type-II spontaneous parametric down-conversion carrying orbital angular momentum are obtained. Azimuthal symmetry breaking around the pump beam direction reveals itself on these quantum images. Analytical expressions for the amplitude probability of the down conversion process are shown including the nonlinear polarizability components.