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Plots for Photodetection of Squeezed Light: a Whittaker-Shannon Analysis

Jasper Kranias

Published Apr 8, 2026• 1 citation
Publisher

Abstract

A jupyter notebook used to generate figures for the paper "Photodetection of Squeezed Light: a Whittaker-Shannon Analysis" by Kranias et. al. The software can also be found at https://github.com/JKranias/Whittaker-Shannon-Decomposition.

DOI
10.5281/zenodo.19342020

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A jupyter notebook used to generate figures for the paper "Photodetection of Squeezed Light: a Whittaker-Shannon Analysis" by Kranias et. al. The software can also be found at https://github.com/JKranias/Whittaker-Shannon-Decomposition.
The Whittaker-Shannon decomposition provides a temporally localized description of squeezed light, making it applicable in the CW limit and leading to a definition of squeezing strength based on the number of photon pairs at a time. We show examples of its usefulness by calculating quadrature variance in a homodyne detection scheme, coincidence detection probabilities in the continuous-wave limit, and analyzing the Hong-Ou-Mandel effect for strongly squeezed light. Quadrature uncertainty falls farther below the shot noise limit when squeezing is strong, but effects due to correlations between photon pairs are most significant with weak squeezing. Our analysis extends previous results to more general scenarios, and we leverage the Whittaker-Shannon formalism to interpret them based on the temporal properties of photon pairs.