Abstract
We explore the validity of adiabatic elimination in the derivation of an essential-states representation of the time-dependent Schr\"odinger equation in the presence of a strong laser field. We consider the elimination of off-resonant states in generating an effective two-level description of the light-matter interaction, where the initial and final states are two-photon resonant. The treatment is nonperturbative and can be generalized to $N$-photon absorption.
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