  The prominent Dicke superradiant phase arises from coupling an ensemble of
atoms to cavity optical field when external optical pumping exceeds a threshold
strength. Here we report a prediction of the superrandiant instability driven
by Anderson localization, realized with a hybrid system of Dicke and
Aubry-Andre (DAA) model for bosons trapped in a one-dimensional (1D)
quasiperiodic optical lattice and coupled to a cavity. Our central finding is
that for bosons condensed in localized phase given by the DAA model, the
resonant superradiant scattering is induced, for which the critical optical
pumping of superradiant phase transition approaches zero, giving an instability
driven by Anderson localization. The superradiant phase for the DAA model with
or without a mobility edge is investigated, showing that the localization
driven superradiant instability is in sharp contrast to the superradiance as
widely observed for Bose condensate in extended states, and should be
insensitive to temperature of the system. This study unveils an insightful
effect of localization on the Dicke superradiance, and is well accessible based
on the current experiments.
