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Physical Review A

Characteristic frequencies in the semiclassical Jaynes-Cummings model

Adam Kujawski, Martin Munz

Published Jun 1, 1987• 3 citations
Publisher

Abstract

The values of the characteristic frequencies in the Fourier spectrum for the semiclassical Jaynes-Cummings model in the case of a weak-coupling constant are found analytically and are also confirmed numerically. The rotating-wave approximation is not assumed. The sidebands of atomic and cavity modes occur at the characteristic frequencies and play an essential role in characterizing the Fourier spectra of chaotic behavior. The question of transition from nonchaotic to chaotic behavior is also studied.

DOI
10.1103/physreva.35.5274

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Europhysics Letters (EPL)•Sep 15, 1990•2 citations
The values of the characteristic frequencies in the Fourier spectrum for the semiclassical Jaynes-Cummings model in the case of a weak-coupling constant are found analytically and are also confirmed numerically. The rotating-wave approximation is not assumed. The sidebands of atomic and cavity modes occur at the characteristic frequencies and play an essential role in characterizing the Fourier spectra of chaotic behavior. The question of transition from nonchaotic to chaotic behavior is also studied.
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The authors calculate scattered, transmitted and reflected spectra for a coupled two-level atom and quantized electromagnetic cavity mode driven by broad-band chaotic light. They obtain analytical results in the secular approximation and compare these with exact numerical results. Under cavity QED conditions (strong dipole coupling) the spectra show multiple resonances at the incommensurate transition frequencies of the Jaynes-Cummings Hamiltonian. They obtain expressions for linewidths and transition amplitudes that help them to assess the prospects for an experimental observation of these Jaynes-Cummings resonances.