  We propose optical means to reveal the presence of a dark exciton condensate
that does not yield any photoluminescence at all. We show that (i) the dark
exciton density can be obtained from the blueshift of the excitonic absorption
line induced by dark excitons; (ii) the polarization of the dark condensate can
be deduced from the blueshift dependence on probe photon polarization and also
from Faraday effect, linearly polarized dark excitons leaving unaffected the
polarization plane of an unabsorbed photon beam. These effects result from
carrier exchanges between dark and bright excitons.
