Condensation of microcavity polaritons with a disorder induced distribution of oscillator strengths

Partly motivated by recent experiments $[1,2]$, a model for condensation of disordered excitons coupled to cavity photons is investigated. The inhomogeneous broadening of the excitonic energies is combined with a distribution of oscillator strengths, allowing for correlations between the exciton energies and their coupling to light. Results are discussed in terms of the mean-field phase diagram, the spectrum of excitations and the polariton photoluminescence. \\[1em] \noindent $[1]$ P.~G.~Lagoudakis {\it et al.}, J.Appl.Phys. {\bf 95}, 2487 (2004)\\ \noindent $[2]$ M. Richard {\it et al.}, J. Phys. C {\bf 16}, S3683 (2004)