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A theoretical investigation is presented of the statistics of excitons inquantum dots (QDs) of different sizes. A formalism is developed to build theexciton creation operator in a dot from the single exciton wavefunction and itis shown how this operator evolves from purely fermionic, in case of a smallQD, to purely bosonic, in case of large QDs. Nonlinear optical emission spectraof semiconductor microcavities containing single QDs are found to exhibit apeculiar multiplet structure which reduces to Mollow triplet and Rabi doubletin fermionic and bosonic limits, respectively.Comment: Extensively expanded revision, 14 pages, 12 figures, submitted to  Phys. Rev.

Statistics of excitons in quantum dots and their effect on the optical emission spectra of microcavities