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The European Physical Journal D

Collapse-revival phenomenon for different configurations of a three-level atom interacting with a field via multi-photon process and nonlinearities

A.‐S. F. Obada, Sadek Ahmed Hanoura, A. A. Eied

Published Feb 1, 2014• 12 citations
Publisher
DOI
10.1140/epjd/e2013-30627-3

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Abstract In this article the effect of intensity-dependent coupling and the atomic dissipation on the interaction of a pair of three-level atoms in the Ξ configuration with a bi-mode cavity field are studied. The solution of the proposed model is obtained in the resonance case. Some statistical quantities are discussed to discover the characteristics of the model. With different nonlinearity functions, the population inversion and the photon number dynamics, which display the phenomenon of collapses and revivals are discussed. The non-classical effects by examining the Mandel Q-parameter are considered. The amount of correlation between the two atoms and the field is estimated by analyzing the results of the fidelity.
A model is presented to investigate the problem of interaction between an N-level atom and N-1 modes of the field. The model includes detuning. Constants of motion are obtained. The evolution operator is calculated, and the probability distribution function for the photon numbers is computed for different initial atomic states. The characteristic functions are computed. Different statistical quantities concerning the photons or the atomic system are given. The case of a three-level atom and two modes is considered for its different configurations. The phenomenon of collapses and revivals is discussed for squeezed light, and the effect of squeezing is shown in this phenomenon.