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Physical Review A

Nonresonant interaction of a three-level atom with cavity fields. II. Coherent properties of the stimulated fields

Zhen-dong Liu, Xiao-shen Li, D. L. Lin

Published Dec 1, 1987• 35 citations
Publisher

Abstract

We study the interaction of a three-level atom with cavity fields of arbitrary detunings. We address ourselves in this paper to the question of how the time evolution of a coherent state depends upon the detunings. A number of interesting new phenomena contrary to the existing picture are found and discussed.
DOI
10.1103/physreva.36.5220

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The behavior of the dipole moment of a three-level atom interacting with cavity fields of arbitrary detunings is investigated. The time evolution and squeezing conditions of the components and correlation function of the dipole moment are calculated for three cases: one-mode field and a \ensuremath{\Xi}-type atom initially in the upper state, two-mode field and a \ensuremath{\Lambda}-type atom initially in the upper state, and two-mode field and a \ensuremath{\Lambda}-type atom initially in one of the lower states. A number of interesting features are found and discussed.
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A quantum-mechanical theory is developed to treat the interaction of a multilevel atom with cavity fields of arbitrary detunings. The Hilbert space spanned by the energy eigenvectors is divided into subspaces specified by eigenvalues of the total excitation number, which is a constant of motion. Since the total Hamiltonian does not connect states in different subspaces, it can be diagonalized in each subspace independently. The time evolutions of the level occupation probabilities and the mean photon number are investigated numerically, and their variations with the atomic level number and the initial photon number are discussed. Their relation with the field squeezing is also discussed.
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