Bounds for the Distance Dependence of Correlation Functions of Entangled Photons in Waveguides

TL;DR

This paper derives theoretical upper bounds on how the probability of detecting entangled photon pairs in waveguides decreases with distance, providing testable predictions for experimental verification.

Contribution

It introduces new inequalities that bound the distance dependence of Glauber correlation functions for entangled photons in waveguides, advancing understanding of quantum light propagation.

Findings

Derived upper bounds for photon correlation decay with distance

Proposed inequalities are experimentally testable

Analyzed spatial and temporal dependence of correlations

Abstract

The distance dependence of the probability of observing two photons in a waveguide is investigated. The Glauber correlation functions of the entangled photons in waveguides are considered and the spatial and temporal dependence of the correlation functions is evaluated. We derive upper bounds to the distance dependence of the probability of observing two photons. These inequalities should be possible to observe in experiments.