The revival-collapse phenomenon in the quadrature field components of the two-mode multiphoton Jaynes-Cummings model

TL;DR

This paper investigates the revival-collapse phenomenon in quadrature squeezing within a two-mode multiphoton Jaynes-Cummings model, revealing how different squeezing types reflect atomic inversion and can be detected via homodyne and heterodyne measurements.

Contribution

It introduces a detailed analysis of RCP in quadrature squeezing for various multiphoton JCM cases, linking squeezing behavior to atomic inversion and measurement techniques.

Findings

All squeezing types can exhibit RCP similar to atomic inversion.

Single-mode squeezing for (k1,k2)=(3,1) reflects (1,1) atomic inversion.

Sum and difference squeezing provide partial information on atomic inversion.

Abstract

In this paper we consider a system consisting of a two-level atom in an excited state interacting with two modes of a radiation field prepared initially in $l$-photon coherent states. This system is described by two-mode multiphoton (, i.e., $k_1, k_2$) Jaynes-Cummings model (JCM). For this system we investigate the occurrence of the revival-collapse phenomenon (RCP) in the evolution of the single-mode, two-mode, sum and difference quadrature squeezing. We show that there is a class of states for which all these types of squeezing exhibit RCP similar to that involved in the corresponding atomic inversion. Also we show numerically that the single-mode squeezing of the first mode for $(k_1,k_2)=(3,1)$ provides RCP similar to that of the atomic inversion of the case $(k_1,k_2)=(1,1)$, however, sum and difference squeezing give partial information on that case. Moreover, we show that single-mode, two-mode and sum squeezing for the case $(k_1,k_2)=(2,2)$ provide information on the atomic inversion of the single-mode two-photon JCM. We derive the rescaled squeezing factors giving accurate information on the atomic inversion for all cases. The consequences of these results are that the homodyne and heterodyne detectors can be used to detect the RCP for the two-mode JCM.