Abstract
We investigate light-induced bound-free transitions in the presence of radiative recombination in models of continuum resonances for which the only singularities of the coupling function are a finite number of simple poles in the complex plane. Using elementary complex analysis, finding the time-dependent solution to the ensuing set of integro-differential equations is reduced to a study of sets of linear algebraic equations and roots of a polynomial. As an example we treat bound-free Rabi flopping for a Lorentzian resonance. We suggest that the extremely restrictive conditions for observing coherent transients, a narrow resonance and a large dipole moment matrix element, may be met in two-electron excitation of an atom.
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