Laser frequency detunings for complete inversion and optimal inversion of a three-level atom by arbitrary Rabi frequencies

In a three-level atom interacting with nondelayed laser pulses, the inversi on dynamics is studied to examine the detunings of the laser frequencies. W hen two Rabi frequencies are unequal, we show the interesting fact that com plete inversion occurs if chirping is used, which causes the effective detu ning of a two-photon resonance line to be zero, Because fixed optimal detun ings allow an easier experimental approach, it is useful to find a method f or obtaining the optimal detunings for realistic ratios of two Rabi frequen cies. Using these optimal detunings, the process turns out to be a diadiaba tic transition from investigation of the eigenvector and Bloch vector motio ns, whose behaviours are compared with their behaviour in the case of compl ete inversion.