  We present experimental and theoretical study of single semiconductor quantum
dots excited by two non-degenerate, resonantly tuned variably polarized lasers.
The first laser is tuned to excitonic resonances. Depending on its polarization
it photogenerates a coherent single exciton state. The second laser is tuned to
biexciton resonances. By scanning the energy of the second laser for various
polarizations of the two lasers, while monitoring the emission from the
biexciton and exciton spectral lines, we map the biexciton photoluminescence
excitation spectra. The resonances rich spectra of the second photon absorption
are analyzed and fully understood in terms of a many carrier theoretical model
which takes into account the direct and exchange Coulomb interactions between
the quantum confined carriers.
