Abstract
The semiclassical Boltzmann kinetics fails for the description of the relaxation and dephasing of femtosecond-pulse excited electron-hole pairs. In this ultra-short-time regime which is dominated by quantum coherence, quantum kinetics with its memory effects yields an excellent description of corresponding four wave mixing (FWM) and differential transmission spectroscopy (DTS) experiments. The essential features of carrier-phonon scattering and the carrier-carrier scattering via a time-dependently screened Coulomb potential are discussed. Particularly the time-dependent build-up of screening by the optically excited carriers is itself a highly interesting quantum kinetic problem. As an extension it is shown that quantum kinetics also yields a consistent description of the kinetics of a Bose-Einstein condensation of excitons, because it describes the changes of the single-particle spectrum at the transition from the normal to the condensed phase self-consistently.
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