Abstract
We show that the femtosecond four-wave mixing signal from GaAs quantum wells generated in the phase-matching direction ${\mathbf{k}}_{1}+{\mathbf{k}}_{2}\ensuremath{-}{\mathbf{k}}_{3}$ can fully resolve the pure heavy-hole, pure light-hole, and the mixed two excitons by directly observing double quantum coherences. Time-dependent Hartree-Fock contributions for different types of two excitons may be completely separated from higher-order Coulomb correlations by specific pulse polarization configurations. Simulations performed on a one-dimensional three-band tight-binding model for a GaAs quantum well are analyzed using double-sided Feynman diagrams which reveal the Liouville space pathways contributing to the various peaks.
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