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International Journal of Nanoscience

Fluorescence Spectrum of an Atom Interacting with a Quantized Cavity Field with Arbitrary Nonlinearities

Mahmoud Abdel‐Aty, Tarek M. El-Shahat, A.‐S. F. Obada

Published Feb 1, 2003• 2 citations
Publisher

Abstract

We present a detailed theory of a general formalism of a nonlinear JC-model. In particular we explicitly take into account forms of nonlinearities of both the field and the intensity-dependent atom-field coupling and study the properties of the fluorescence spectrum in this system. The exact solution for time-dependence of the atom-field system is obtained, by means of which we analyze the analytic form of the fluorescence spectrum produced by an atom in an ideal cavity using the transitions among the dressed states of the system. We investigate the influences of the nonlinearities on the fluorescence spectrum, for initial squeezed, thermal and coherent states. It is shown that features of the fluorescence spectrum are significantly influenced by the kinds of nonlinearities of the single-mode field.

DOI
10.1142/s0219581x03001127

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We study the interaction of a three-level atom with a single-mode field in a cavity. We take explicitly into account the existence of the forms of nonlinearities of both the field and the intensity-dependent atom-field coupling. The wavefunction for the atomic system of the Ξ configuration is obtained when the atom is initially prepared in the excited state. The electromagnetic field may assume a squeezed coherent or binomial state. The analytical forms of the fluorescence and absorption spectra are calculated using the dressed states of the system. We investigate the influences of the mean number of photons, detunings, and the nonlinearities forms on the spectrum of the resulting field states. It is shown that the features of the fluorescence and absorption spectra are influenced significantly by the kinds of nonlinearities.
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The treatment of a Λ-type three-level atom interacting with a single mode field in a cavity, explicitly taking the existence of forms of nonlinearities of both the field and the intensity-dependent atom-field coupling into account. Analytical expressions of the emission and absorption spectra are presented using the dressed states of the system. The characteristics of the emission and absorption spectra for binomial state and squeezedcoherent state inputs are exhibited. The effects of the mean number of photons, the detuning, and the nonlinearities on the spectra are investigated. It is shown that the features of the fluorescence and absorption spectra are influenced significantly by the kinds of nonlinearities.
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A generalized Jaynes-Cummings model when an ideal cavity is filled with a Kerr-like medium is considered. The fluorescence spectrum produced by such a system using the infinity of transitions among the dressed states of the Jaynes-Cummings model is analyzed. A large number of resonances in the spectra are observed that are sensitive to the initial field statistics as well as the nonlinearity of the medium. Also, the fine structure of the spectra gets considerably modified by increasing the nonlinearity of the Kerr-like medium.