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Journal of Optics B Quantum and Semiclassical Optics

The dissipative dynamics of the Jaynes-Cummings model with degenerate atomic levels

Ling Zhou, H. S. Song, Yao-Xing Luo

Published Feb 5, 2002• 7 citations
Publisher

Abstract

We studied the dissipative dynamics of a degenerate-level atom interacting with a single linearly polarized mode field in the dispersive approximation. It is found that the degeneracy of the atomic levels affects the dissipation of the system, of the atom and the field. The period of entanglement becomes much longer than that in the usual Jaynes-Cummings model dissipation. The degeneracy of the atomic level increases the maximum value of the degree of the statistical mixture.

DOI
10.1088/1464-4266/4/2/304

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We studied the dissipative dynamics of a degenerate-level atom interacting with a single linearly polarized mode field in the dispersive approximation. It is found that the degeneracy of the atomic levels affects the dissipation of the system, of the atom and the field. The period of entanglement becomes much longer than that in the usual Jaynes-Cummings model dissipation. The degeneracy of the atomic level increases the maximum value of the degree of the statistical mixture.
The dissipation of the field in the two-photon Jaynes-Cummings model (JCM) with degenerate atomic levels was studied. The initial degenerate atomic state affects the field coherence loss. When the degenerate atom is initially in an equal probability superposition state, the field coherence loss is smallest. It is found that the degeneracy of the atomic level increases the period of entanglement between the atom and the field. When the degeneracy was considered, the coherence properties of the field could be affected by the reservoir qualitatively, if a nonlinear two-photon process is involved. This is different from the dissipation of one-photon JCM with degenerate atomic levels.
The dissipation of the field in the two-photonJaynes-Cummings model (JCM) with degenerate atomic levels was studied.The initial degenerate atomic state affects the field coherence loss,when the degenerate atom is initially in an equal probability superposition state,the field coherence loss is smallest,It is found that the degeneracy of the atomic level increases the period of entanglement between the atom and the field.When the degeneracy was considered,the coherence properties of the field could be affected by the reservoir qualitatively,if a nonlinear two-photon process is involved.This is different from the dissipation of one-photon JCM with degenerate atomic levels.
We present the linear entropy dynamics of the field state in the dispersive cavity in the Jaynes-Cummings model with an intensity-dependent coupling in the dispersive approximation and investigate the influence of dissipation on entanglement between the field and the atoms. We show that the coherence properties of the field are also affected by the cavity when the nonlinear process of the field interacting with the atoms with an intensity-dependent coupling is involved and find that the dissipation constant, the intensity of the field and the atomic distribution angle have different influence on the coherence properties of the field.
We present the linear entropy dynamics of the field state in the dispersive cavity in the Jaynes-Cummings model with an intensity-dependent coupling in the dispersive approximation, and investigate the influence of dissipation on entanglement between the field and the atoms. We show that the coherence properties of the field are also affected by the cavity when the nonlinear process of the field interacting with the atoms with an intensity-dependent coupling is involved, and find that the dissipation constant, the intensity of the field and the atomic distribution angle have different influence on the coherence properties of the field.
The Jaynes-Cummings model describing the interaction of a single linearly- polarized mode of the quantized electromagnetic field with an isolated two- level atom is generalized to the case of atomic levels degenerate in the projections of the angular momenta on the quantization axis, which is a usual case in the experiments. This generalization, like the original model, obtains the explicit solution. The model is applied to calculate the dependence of the atomic level populations on the angle between the polarization of cavity field mode and that of the laser excitation pulse in the experiment with one-atom micromaser.