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Soviet Journal of Quantum Electronics

Adiabatic inversion of the populations of ionic levels

David A. Shapiro

Published Nov 30, 1984• 0 citations
Publisher

Abstract

Exact expressions are obtained for transient populations of a two-level ion subjected to strong optical and electrostatic fields. The conditions under which the population inversion takes place are identified.
DOI
10.1070/qe1984v014n11abeh006506

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A theoretical analysis is made of the interaction between a two-level quantum-mechanical system and an electromagnetic field which is frequency- and amplitude-modulated. Attention is drawn to the fact that, subject to certain general assumptions, the usual methods for population inversion in such a system—(2 n + l)π pulses and adiabatic inversion methods—apply also if the pump field is of the wide-band type. Exact solutions are obtained for the nature of the time dependence of the instantaneous field frequency at which a population inversion occurs under nonadiabatic conditions.
Abstract The three‐level system subjected to electromagnetic fields is investigated. It is shown that when one of two fields is strong (the pumping field), the system can amplify the second (probe) field even if no population inversion is created, but some phase relations are satisfied. The conditions necessary for inversionless amplification to take place are discussed. The connection between this effect and stimulated Raman emission is shown. Numerical simulations for each one of the discussed cases were performed.