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Analytic description of population transfer in a degenerate<i>n</i>-level atom

J. H. McGuireDepartment of Physics, Tulane University, New Orleans, LA 70118-5698, USAKh. Kh. ShakovDepartment of Physics, Tulane University, New Orleans, LA 70118-5698, USAKh. Yu. RakhimovPermanent address: Department of Heat Physics, Uzbekistan Academy of#N#Sciences, 28 Katartal Street,#N#Tashkent 700135, Uzbekistan
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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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