The Influence of Quantum Correlation on the Holonomy of Spatially-Structured Bi-Photons

TL;DR

This paper explores how quantum entanglement affects the geometric phase (holonomy) of spatially-structured bi-photons, introducing a gauge-invariant measure and demonstrating it with an optical circuit and tunable entanglement.

Contribution

It presents a new gauge-invariant measure to quantify quantum correlation's influence on geometric phase in bi-photons, supported by an experimental optical setup.

Findings

Quantum correlation influences holonomy in two distinct ways.

A novel pump engineering method enables tunable entanglement in photon pairs.

Experimental demonstration confirms the theoretical measure.

Abstract

The manifestation of entanglement within geometric phase is elucidated for spatially-structured bi-photons. Entanglement parameters are shown to influence holonomy in two distinct ways: through statistical superpositions of separable states; and via quantum correlation. These are entwined within geometric phase, motivating the construction of a projective, gauge-invariant measure that allows the manifestation of quantum correlation to be pinpointed and explained. An optical circuit consisting of a pair of misoriented mode converters gives a practical demonstration. This is facilitated by a novel pump engineering method which produces photon pairs with tunable entanglement.