The temperature and laser-power dependent S-1 <-- S-0 spectra of single dip
henyloctatetraene molecules in n-tetradecane are investigated using one- an
d two-photon excitation at cryogenic temperatures. Under one photon excitat
ion, the single-molecule transitions shift to lower frequencies and the lin
e widths increase with increasing temperature while the line shapes are ind
ependent of the laser power up to spectral saturation. The experimental dat
a are consistent with the model of thermal activation of a single local pho
non. Under two-photon excitation, the transitions shift linearly to lower f
requencies with increasing laser power while the lines broaden only weakly.
These results are discussed in terms of laser-induced ac-Stark shifts and
matrix dynamics. In particular, a bottleneck effect in the thermalization o
f nonequilibrium phonons is supposed to play an essential role in the obser
ved broadening and shifts. The comparison of one- and two-photon excitation
spectra provides information about the processes that govern the two-photo
n spectra.