The behavior of population transfer in a double-Λ system driven by linear polarized few-cycle ultrashort laser pulses is investigated numerically. A time-dependent Schrodinger equation without the rotating wave approximation is solved. It is shown that almost complete population transfer can be achieved even when the adiabatic criterion is not fulfilled. Moreover, the robustness of this scheme in terms of the Rabi frequencies and chirp rates of the pulses is explored.
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