SU(2)- and SU(1,1)-squeezing of interacting radiation modes

TL;DR

This paper explores how SU(2) and SU(1,1) squeezing can be periodically generated in interacting radiation modes within a quadratic medium, using Lie algebra methods, regardless of initial states.

Contribution

It demonstrates the periodic generation of SU(2) and SU(1,1) squeezing in interacting radiation modes through Lie algebra analysis, regardless of initial conditions.

Findings

Squeezing can be periodically generated in the system.

The approach is based on Lie algebra techniques.

The results are applicable to various initial states.

Abstract

In this communication we discuss SU(1,1)- and SU(2)-squeezing of an interacting system of radiation modes in a quadratic medium in the framework of Lie algebra. We show that regardless of which state being initially considered, squeezing can be periodically generated.