  We study the collective interaction of excitons in closely spaced artificial
molecules and arrays of nearly identical quantum dots with the electromagnetic
modes. We discuss how collective fluorescence builds up in the presence of a
small mismatch of the transition energy. We show that a superradiant state of a
single exciton in a molecule of two dots with realistic energy mismatch
undergoes a two-rate decay. We analyze also the stability of subdecoherent
states for non-identical systems.
