Mv. Korolkov et Gk. Paramonov, STATE-SELECTIVE VIBRATIONAL-EXCITATION OF DIATOMIC-MOLECULES COUPLED TO A QUASI-RESONANT ENVIRONMENT - MARKOV APPROXIMATION AND NON-MARKOV APPROACH, Physical review. A, 55(1), 1997, pp. 589-604
Laser-controlled ultrafast state-selective vibrational dynamics of dia
tomic molecules, which are coupled to an unobserved quasiresonant envi
ronment is investigated using the reduced density-matrix formalism bey
ond and within a Markov-type approximation. Dissipative quantum dynami
cs in a classical electric field of shaped infrared ultrashort laser p
ulses is simulated for a one-dimensional nondissociative Morse oscilla
tor, representing the local OH bond in the H2O and HOD molecules in th
e electronic ground state. Localization of population at a prescribed
vibrational target level of OH up to v = 10 with probability of about
90% is demonstrated on a picosecond time scale, while the strength of
the quasiresonant molecule-environment coupling results in subpicoseco
nd lifetimes of the vibrational states. The laser-controlled stabiliza
tion of selective excitation in the restricted set of vibrational stat
es against a background of strongly diminished relaxation to lower vib
rational states is also shown. The laser-control scheme may include a
superposition of several laser pulses. A Markov-type approximation res
ults in slightly increased lifetimes of the vibrational states, along
with decreased predicted probability of state-selective excitation of
a molecule by about 20-30 %. Several results obtained within the fourt
h-order perturbation theory in interaction of a molecule with an envir
onment are in a good agreement with the non-Markov analysis.