Detailed theoretical analysis and numerical simulation indicate that nearly
complete electronic population inversion of molecular systems can be achie
ved with intense positively chirped broadband laser pulses. To provide a si
mple physical picture, a two-level model is used to examine the condition f
or the so-called pi pulses and a four-level model is designed to demonstrat
e for molecular systems the correlation between the sign of the chirp and t
he excited state population. The proposed molecular pi pulse is the combine
d result of vibrational coherence in the femtosecond regime and adiabatic i
nversion in the picosecond regime. Numerical results for a displaced oscill
ator, for LiH and for I-2, show that the proposed molecular pi pulse scheme
is robust with respect to changes in field parameters such as the linear p
ositive chirp rate, field intensity, bandwidth, and carrier frequency, and
is stable with respect to thermal and condensed phase conditions including
molecular rotation, rovibronic coupling, and electronic dephasing. (C) 2000
American Institute of Physics. [S0021-9606(00)02129-2].