Statistics of optical spectra from single-ring aggregates and its application to LH2

We study the statistics of the optical spectra of individual ring-shaped mo lecular aggregates in which the site energies and transfer interactions are perturbed by both weak random disorder and a regular modulation due to a d eformation of the ring. Under these conditions, the spectrum is dominated b y two lines. We present an analytical expression for the joined probability distribution of the splitting between these lines and their average positi on. We compare our results to recent experiments performed on the bacterial antenna system LH2. Our analysis indicates the importance of intercomplex disorder.