Strong nonlinear coherent effects in a single semiconductor quantum dot

Summary form only given. The optical properties of semiconductor quantum dots have been studied intensively in the past few years. Recently the experiment has demonstrated not only the ability to probe a single QD but also how to coherently control the exciton in a single QD on a time scale that is short compared with the decoherence time. We had proposed a scheme to use the excitons in QD as qubits and to use strong ultra-fast laser pulses to manipulate the qubits via Rabi flopping. As a result a full understanding of the multi-exciton coherent nonlinear spectroscopy with strong pump field is needed. In this work we present a non-perturbative calculation of the nonlinear CW pump-probe spectra.