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We study Fermi edge singularities in photo-absorption spectra of genericmesoscopic systems such as quantum dots or nanoparticles. We predict deviationsfrom macroscopic-metallic behavior and propose experimental setups for theobservation of these effects. The theory is based on the model of a localized,or rank one, perturbation caused by the (core) hole left behind after thephoto-excitation of an electron into the conduction band. The photo-absorptionspectra result from the competition between two many-body responses, Anderson'sorthogonality catastrophe and the Mahan-Nozieres-DeDominicis contribution. Bothmechanisms depend on the system size through the number of particles and, moreimportantly, fluctuations produced by the coherence characteristic ofmesoscopic samples. The latter lead to a modification of the dipole matrixelement and trigger one of our key results: a rounded K-edge typically found inmetals will turn into a (slightly) peaked edge on average in the mesoscopicregime. We consider in detail the effect of the "bound state" produced by thecore hole.

Fermi Edge Singularities in the Mesoscopic Regime: II. Photo-absorption Spectra