Distribution of the Absorption by Chaotic States in Quantum Dots

Abstract

The mesoscopic fluctuations of the absorption at optical transitions from a low energy regular state to high energy chaotic states in an aggregate of semiconductor quantum dots is studied. We provide a universal dependence of the distribution of the absorption coefficient on the total number of dots and the ratio of the level broadening to the level spacing. The distribution remain broad even at large broadening, and the absorption spectrum should demonstrate a strong sensitivity to weak magnetic field in the region of large and weak absorption. The results can also apply to the absorption of Rydberg atoms in strong magnetic field at the pre-threshold ionization.