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The magnetic-field dependence of the third-order excitonic nonlinear susceptibility (3) in a quantum wire is explored within the rotating wave approximation. Both the real and imaginary parts of (3) , arising from population saturation of the excitonic state under optical pumping, are calculated for a GaAs wire as a function of magnetic field and pump-probe detuning frequencies. The imaginary part of (3) exhibits a negative peak associated with the bleaching of the excitonic resonance and adoi:10.1103/physrevb.54.5721 pmid:9986536 fatcat:xxtkwct4nrcprhdobd3rm3g3r4