  We theoretically investigate the effect of anomalous quantum correlations on
the light-induced frequency shift in the photoassociation spectrum of a
Bose-Einstein condensate (BEC). Anomalous quantum correlations arise because,
although formed from a pair of zero-momentum condensate atoms, a condensate
molecule need not dissociate back to the BEC, but may just as well form a
noncondensate atom pair with equal and opposite momentum, i.e., due to rogue
photodissociation. The uncorrelated frequency shift of the photoassociation
spectrum is to the red and linearly dependent on the laser intensity. In
contrast, anomalous correlations due to rogue dissociation lead to a
blueshifted photoassociation spectrum. For sufficiently low light intensities,
the rogue blueshift is dominant and proportional to the squareroot of
intensity.
