Sorkin parameter for type-I spontaneous parametric down-conversion biphotons and matter waves

TL;DR

This paper explores how Gouy phase measurements in asymmetric double-slit experiments can quantify quantum entanglement in biphotons, linking spatial confinement to entanglement manipulation.

Contribution

It introduces a method to measure quantum correlations via Gouy phase in biphoton interference, connecting spatial confinement with entanglement quantification.

Findings

Gouy phase correlates with quantum entanglement in biphotons.

Strong position correlations are necessary for entanglement measurement.

Gouy phase difference can be used to analyze entanglement in asymmetric double-slit setups.

Abstract

We propose experimental measurements of the logarithmic negativity, which quantifies quantum correlations using Gouy phase measurements in an asymmetric double-slit interference experiment for twin photons. This is possible because both quantities have analogous dependence with the spatial confinement by the slits and enables one to manipulate the portion of entanglement by the Gouy phase. In order to obtain those measurements, we need to work in a regime where the position correlations between particles are strong, therefore we investigate such correlations for biphotons. Since we would like to handle entanglement quantifiers through the Gouy phase, we analyze the Gouy phase difference for two entangled photons in an asymmetric double-slit interference experiment.