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The transient signals derived from femtosecond pump-probe experiments areanalyzed in terms of the coherent evolution of the energy levels perturbed bythe excitation pulse. The model system is treated as the sum of independenttwo-level subsystems that evolve adiabatically or are permanently excited,depending on the detuning from the central wavelength of the excitation laser.This approach will allow us to explain numerically and analytically theconvergence between the coherent and incoherent (rate equations) treatments forcomplex multi-level systems. It will be also shown that the parameter thatdetermines the validity of the incoherent treatment is the distribution ofstates outside and inside the laser bandwidth, rather than the density ofstates as it is commonly accepted.

Influence of coherent adiabatic excitation on femtosecond transient signals