Sa. Hosseini et D. Goswami, Coherent control of multiphoton transitions with femtosecond pulse shaping- art. no. 033410, PHYS REV A, 6403(3), 2001, pp. 3410
We explore the effects of ultrafast shaped pulses for two-level systems tha
t do not have a single-photon resonance, by developing a multiphoton densit
y-matrix approach. We take advantage of the fact that the dynamics of the i
ntermediate virtual states are absent within our laser pulse time scales. U
nder these conditions, the multiphoton results are similar to those for a s
ingle photon, and it is possible to extend the single-photon coherent contr
ol ideas to develop multiphoton coherent control.