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The two-band effective semiconductor optical Bloch equations for a quantum well have been generalized to include multisubband effects. The ultrafast transient adiabatic-following solutions are obtained from the equations for interband polarizations, intersubband polarizations, and subband-carrier distribution functions of a Ga_1-x{Al}ₓ$As/GaAs quantum well, excited by an ultrafast optical pump field. Two conservation laws for the multisubband case are derived. The steady-state response and the {π}-pulse response are studied. It is found that these multisubband equations lead to quantitatively different results from the conventional two-band approximation, particularly for wide quantum wells and asymmetric quantum wells.
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Tsang et al. (1992) studied this question.
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