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The time evolution of driven two-level systems in the far off-resonanceregime is studied analytically. We obtain a general first-order perturbativeexpression for the time-dependent density operator which is applicableregardless of the coupling strength value. In the strong field regime, ourperturbative expansion remains valid even when the far off-resonance conditionis not fulfilled. We find that, in the absence of dissipation, driven two-levelsystems exhibit coherent population trapping in a certain region of parameterspace, a property which, in the particular case of a symmetric double-wellpotential, implies the well-known localization of the system in one of the twowells. Finally, we show how the high-order harmonic generation that this kindof systems display can be obtained as a straightforward application of ourformulation.Comment: 14 pages, LaTeX, 2 figures, acknowledgments adde

Perturbative evolution of far-off-resonance driven two-level systems: coherent population trapping, localization and harmonic generation