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Emission spectra of quantum dot arrays in zero-dimensional microcavities arestudied theoretically, and it is shown that they are determined by thecompetition between the formation of the collective superradiant mode andinhomogeneous broadening. The random sources method for the calculation ofphotoluminescence spectra under a non-resonant pumping is developed, and amicroscopic justification of the random sources method within a framework ofthe standard diagram technique is given. The emission spectra of a microcavityare analyzed with allowance for the spread of exciton states energies caused byan inhomogeneous distribution of quantum dots and a tunneling between them. Itis demonstrated that in the case of a strong tunneling coupling theluminescence spectra are sensitive to the geometric positions of the dots, andthe collective mode can, under certain conditions, be stabilized by the randomtunnel junctions.

Collective modes of quantum dot ensembles in microcavities