2003
DOI: 10.1088/0953-4075/36/14/315
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Analytic description of population transfer in a degeneraten-level atom

Abstract: Analytic expressions have been found for transition probabilities in a degenerate n-level atom interacting with a strong external field that gives a common time dependence to all of the transition matrix elements. Except for solving a simple nth-order equation to determine eigenvalues of dressed states, the method is entirely analytic. These expressions may be used to control electron populations in degenerate n-level atoms. Examples are given for n = 2 and 3.

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Cited by 13 publications
(5 citation statements)
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“…This holds if β 1 = z and β i = x i . Some simple algebra gives rise to an equation that has nine eigenvalues such that the z i [26] are determined. Correspondingly, there are also nine corresponding eigenfunctions,…”
Section: Wavefunctionmentioning
confidence: 99%
“…This holds if β 1 = z and β i = x i . Some simple algebra gives rise to an equation that has nine eigenvalues such that the z i [26] are determined. Correspondingly, there are also nine corresponding eigenfunctions,…”
Section: Wavefunctionmentioning
confidence: 99%
“…The time dependence of the amplitudes in equation ( 4) is governed by the Schrödinger equation with the Hamiltonian given by equation (3). In order to find the probability amplitudes B i (t), one may introduce the function [17]…”
Section: Modelmentioning
confidence: 99%
“…The lower index n indicates the dependence of the corresponding quantities on the photon number. In general, the dynamics of A i (n, t) the probability amplitude of the atomic level is given by the Schrödinger equation [26],…”
Section: Exact Solutionmentioning
confidence: 99%