Photodetection of Squeezed Light: a Whittaker-Shannon Analysis

TL;DR

This paper applies the Whittaker-Shannon decomposition to analyze squeezed light, enabling a localized temporal description that enhances understanding of quantum correlations and detection schemes in continuous-wave regimes.

Contribution

It introduces a novel application of the Whittaker-Shannon formalism to squeezed light, extending previous analyses to more general scenarios and linking temporal photon properties to quantum measurement outcomes.

Findings

Quadrature variance decreases below shot noise with stronger squeezing.

Photon pair correlations are most significant in weak squeezing regimes.

The formalism aids in interpreting quantum effects based on temporal photon properties.

Abstract

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.