A density‐matrix approach combined with time‐dependent density‐functional theory is used to calculate the intersubband photoabsorption in a strongly driven, DC‐biased GaAs/AlGaAs single quantum well. For certain frequencies and intensities of the driving field, optical bistability is observed. Compared to a full time propagation of the density matrix, the commonly used two‐level rotating wave approximation becomes less and less accurate for increasing asymmetry.

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