A Proposal for Experimental Detection of Amplitude nth-Power Squeezing

TL;DR

This paper proposes an experimental method using homodyning to detect amplitude nth-power squeezing in light, requiring minimal equipment and measurements, improving upon previous methods by reducing complexity and experimental repetitions.

Contribution

It introduces a simple, practical scheme for detecting amplitude nth-power squeezing using only one beam splitter and one photodetector, applicable for arbitrary power n.

Findings

Requires only repeated factorial moment measurements with phase shifts

Involves no approximations in the detection process

Needs fewer experimental repetitions than previous methods

Abstract

Recently, in several theoretical investigations, amplitude nth-power squeezing has been studied with $n = 2,~3,~4,~5$. In the present paper, we give a proposal for experimental detection of amplitude $n$th-power squeezing using ordinary homodyning with coherent light for arbitrary power $n$ and discuss in detail its theory. The proposed scheme requires only repeated measurements of the factorial moments of number of photons in the light obtained after homodyning, with various shifts of phase of coherent light, and involves no approximations, whatsoever. This has advantage over the method proposed by Shchukin and Vogel [Phys. Rev. A 72 (2005) 043808] in that our method requires only one beam splitter and only one photodetector, and also lesser number of repetitions of experiment with phase-shifted coherent light.