Abstract
We investigate the effect of phonons on the cooperative radiative decay of excitons in small aggregates. Our microscopic analysis establishes the existence of a temperature-dependent coherence size, provided the exciton dephasing time scale is much shorter than the fluorescence lifetime ${\mathrm{\ensuremath{\tau}}}_{\mathrm{fl}}$. We calculate the temperature dependenc of ${\mathrm{\ensuremath{\tau}}}_{\mathrm{fl}}$ and use our results to interpret recent photon-echo and fluorescence experiments in strongly coupled J-aggregates of cyanine dye molecules.
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