content_image/341413.jpg
<img src='content_image/341413.jpg'>

within 42 pulses and accomplished in about 1 ns. However, the population of the transitional, electronic excited state is substantial, almost 50%. Compared to the resonance case, the population dynamics is faster with less number of pulses in the pulse train involved into full population transfer. 

Notably, there is a strong dependence of the efficiency of population transfer on the value of the amplitude Φ 0 of sinusoidal modulation of the phase across individual pulse in the pulse train. For the resonant excitation, population dynamics was calculated using different values of the parameter Φ 0 , the results are presented in Fig.4 for Φ 0 = 3 , 5 , 8. The desired adiabatic accumulation of the population in the final state is not achieved for any of these values of Φ 0 . To understand the impact of the modulation amplitude Φ 0 , we analyzed the 

