Tools for detecting entanglement between different degrees of freedom in quadrature squeezed cylindrically polarized modes

TL;DR

This paper introduces methods to generate and detect entanglement between polarization and spatial degrees of freedom in quadrature squeezed cylindrically polarized modes, demonstrating experimental squeezing and theoretical measurement strategies.

Contribution

It provides new tools for generating and measuring entanglement in complex optical modes, advancing quantum information processing capabilities.

Findings

Achieved -1.2 dB amplitude squeezing in cylindrically polarized modes

Developed methods to measure entanglement between polarization and spatial variables

Theoretical analysis of quantum correlations depending on measurement schemes

Abstract

Quadrature squeezed cylindrically polarized modes contain entanglement not only in the polarization and spatial electric field variables but also between these two degrees of freedom [1]. In this paper we present tools to generate and detect this entanglement. Experimentally we demonstrate the generation of quadrature squeezing in cylindrically polarized modes by mode transforming a squeezed Gaussian mode. Specifically, -1.2 dB of amplitude squeezing are achieved in the radially and azimuthally polarized mode. Furthermore, theoretically it is shown how the entanglement contained within these modes can be measured and how strong the quantum correlations, depending on the measurement scheme, are.