Dynamics of states in the nonlinear interaction regime between a three-level atom and generalized coherent states and their non-classical features

TL;DR

This paper analyzes the dynamics of a three-level atom interacting with a generalized coherent state field in a nonlinear, intensity-dependent regime, revealing non-classical features and providing exact solutions for the system's evolution.

Contribution

It introduces an exact analytical solution for the atom-field interaction with generalized coherent states under nonlinear, intensity-dependent coupling, extending previous models to include specific physical systems.

Findings

Observation of revivals and collapses in atomic population inversion

Detection of sub-Poissonian photon statistics and quadrature squeezing

Comparison showing improved modeling of non-classical features in nonlinear regimes

Abstract

The present study investigates the interaction of an equidistant three-level atom and a single-mode cavity field that has been initially prepared in a generalized coherent state. The atom-field interaction is considered to be, in general, intensity-dependent. We suppose that the nonlinearity of the initial generalized coherent state of the field and the intensity-dependent coupling between atom and field are distinctly chosen. Interestingly, an exact analytical solution for the time evolution of the state of atom-field system can be found in this general regime in terms of the nonlinearity functions. Finally, the presented formalism has been applied to a few known physical systems such as Gilmore-Perelomov and Barut-Girardello coherent states of SU(1,1) group, as well as a few special cases of interest. Mean photon number and atomic population inversion will be calculated, in addition to investigating particular non-classicality features such as revivals, sub-Poissonian statistics and quadratures squeezing of the obtained states of the entire system. Also, our results will be compared with some of the earlier works in this particular subject.