Coherent ultrafast optical dynamics of the Fermi-edge singularity

We develop a nonequilibrium many-body theory of the coherent femtosecond no nlinear optical response of the Fermi-edge singularity. We study the role o f the dynamical Fermi-sea response in the time evolution of the pump-probe spectra. The electron-hole correlations are treated nonperturbatively with the time-dependent coupled cluster expansion combined with the effective Ha miltonian approach. For shea pulse durations, we find a nonexponential deca y of the differential transmission during negative time delays, which is go verned by the interactions. This is in contrast to the results obtained wit hin the Hartree-Fock approximation, which predicts an exponential decay gov erned by the dephasing time. We discuss the role of the: optically induced dephasing effects in the coherent regime.