Physical interpretation of generalized two-mode squeezing operator revealed by virtue of the transformation of entangled state representation

TL;DR

This paper provides a new physical interpretation of the generalized two-mode squeezing operator by decomposing it into fundamental optical transformations, aiding the design of devices for generating squeezed light.

Contribution

It introduces a novel decomposition of the GTSO into basic optical operators using entangled state representation, offering insights for optical device design.

Findings

Decomposition of GTSO into propagation, squeezing, and lens operators

Enhanced understanding of entangled state transformations induced by GTSO

Facilitates design of optical devices for squeezed light generation

Abstract

By virtue of the integration method within P-ordered product of operators and the property of entangled state representation, we reveal new physical interpretation of the generalized two-mode squeezing operator (GTSO), and find it be decomposed as the product of free-space propagation operator, single-mode and two-mode squeezing operators, as well as thin lens transformation operator. This docomposition is useful to design of opticl devices for generating various squeezed states of light. Transformation of entangled state representation induced by GTSO is emphasized.