Density matrix of a single photon produced in parametric down conversion derived

TL;DR

This paper presents a numerical method to determine the density matrix of a fiber-coupled single photon generated via spontaneous parametric down conversion, aiding in spectral state characterization.

Contribution

It introduces a new effective numerical approach for density matrix determination of single photons in non-collinear SPDC configurations.

Findings

Successfully applied to experimental data from Phys. Rev. Lett. 99, 123601 (2007)

Demonstrated accurate spectral state characterization of single photons

Enhanced understanding of photon spectral properties in quantum optics

Abstract

We introduce an effective numerical method of density matrix determination of fiber coupled single photon generated in process of spontaneous parametric down conversion in type I non-collinear configuration. The presented theory has been successfully applied in case of source exploited in Phys. Rev. Lett. 99, 123601 (2007) to demonstrate the experimental characterization of spectral state of single photon.