Characteristics of displaced single photons attained via higher order factorial moments

TL;DR

This paper explores higher order factorial moments of displaced single photons, demonstrating their robustness against loss and usefulness for quantum state characterization.

Contribution

It introduces a method to analyze up to fourth order factorial moments of displaced single photons, enhancing quantum optical state characterization techniques.

Findings

Higher order factorial moments are loss-independent.

Displaced states' quantum features can be effectively characterized.

The state reconstruction method is reliable for photon-number analysis.

Abstract

We investigate up to the fourth order normalized factorial moments of free-propagating and pulsed single photons displaced in phase space in a phase-averaged manner. Due to their loss independence, these moments offer expedient methods for quantum optical state characterization. We examine quantum features of the prepared displaced states, retrieve information on their photon-number content and study the reliability of the state reconstruction method used.