The excitonic insulator was predicted numerous times by theory, but the exp
erimental observation is conspicuous by absence. We demonstrate that, even
under ideal circumstances, an excitonic insulator cannot be created by mean
s of coherent optical excitation. If dephasing is neglected, a non-stationa
ry excitonic insulator may arise. If a dephasing is taken into account, a h
ypothetical excitonic insulator would disappear within the characteristic d
ephasing time. Moreover, we find that dephasing prevents the buildup of the
excitonic insulator from the beginning.