Molecular nonadiabatic response to the sudden switching on (rise times
of few femtoseconds) of intense (tens of TW/cm(2)) laser pulses may l
ead to some unexpected enhancements of dissociation rates. These effec
ts are accounted for by the spreading of the molecule-plus-field wave
packet over several resonances (instead of a single one predicted when
the laser is adiabatically switched on) interfering during the excita
tion process. Typical time-resolved signatures of such highly nonlinea
r responses are thoroughly investigated in terms of the evolution of v
ibrational survival probabilities and fragment kinetic energy spectra
of H-2(+) molecular ion taken as an illustrative example. A plausible
532-nm wavelength single-photon dissociation scenario bringing into th
e system less energy than the minimum required for the fragmentation t
o occur is examined. The suggested mechanism, which may be termed belo
w-threshold dissociation, as opposed to above-threshold dissociation,
refers to a very sharp rise of the laser pulse resulting into temporal
excitation of some resonances lying above the single-photon dissociat
ion energy, with efficient decay rates.