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We provide a unified theory of luminescence spectra of coupled light-mattersystems realized with semiconductor heterostructures in microcavities,encompassing: i) the spontaneous emission case, where the system decays from aprepared (typically pure) initial state, and ii) luminescence in the presenceof a continuous, incoherent pump. While the former case has been amplydiscussed in the literature (albeit mainly for the case of resonance), noconsideration has been given to the influence of the incoherent pump. We showhow, by provoking a self-consistent quantum state, the pump considerably altersthe emission spectra, even at vanishing intensities. The main outcome of ouranalysis is to unambiguously identify strong-coupling in situations where itappears in disguise or only seems to appear. Here, we consider bosonic matterfields, in which case fully analytical solutions can be obtained. Thisdescribes the case of quantum wells or large quantum dots, or the limit of lowexcitation where the average populations remain much smaller than one.

Luminescence Spectra of Quantum Dots in Microcavities. I. Bosons