Revival-collapse phenomenon in the fluctuations of quadrature field components of the multiphoton Jaynes-Cummings model

TL;DR

This paper investigates the revival-collapse phenomenon in quadrature field fluctuations within the multiphoton Jaynes-Cummings model, revealing new states and measurement methods for RCP in quantum optics.

Contribution

It introduces a class of states where fluctuation factors exhibit RCP similar to atomic inversion, including amplitude-squared fluctuations and three-photon transitions, with phase influence analysis.

Findings

RCP observed in fluctuation factors for specific states

RCP in three-photon transitions similar to one-photon atomic inversion

Homodyne detection can measure RCP in atomic inversion

Abstract

In this paper we consider a system consisting of a two-level atom, initially prepared in a coherent superposition of upper and lower levels, interacting with a radiation field prepared in generalized quantum states in the framework of multiphoton Jaynes-Cummings model. For this system we show that there is a class of states for which the fluctuation factors can exhibit revival-collapse phenomenon (RCP) similar to that exhibited in the corresponding atomic inversion. This is shown not only for normal fluctuations but also for amplitude-squared fluctuations. Furthermore, apart from this class of states we generally demonstrate that the fluctuation factors associated with three-photon transition can provide RCP similar to that occurring in the atomic inversion of the one-photon transition. These are novel results and their consequence is that RCP occurred in the atomic inversion can be measured via a homodyne detector. Furthermore, we discuss the influence of the atomic relative phases on such phenomenon.