Coherent control of atomic excitation using off-resonant strong few-cycle pulses

We study the dynamics of a two-level system driven by an off-resonance few-cycle pulse which has a phase jump φ at t=t₀, in contrast to many-cycle pulses, under the nonrotating-wave approximation (NRWA). We give a closed form analytical solution for the evolution of the probability amplitude |C_a(t)| for the upper level. Using the appropriate pulse parameters like the phase jump φ jump time t₀, pulse width τ, frequency ν, and Rabi frequency Ω₀ the population transfer after the pulse is gone can be optimized and, for the pulse considered here, an enhancement factor of 106-108 was obtained.