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Applied Physics B

Pump-probe optical response and four-wave mixing in intersubband transitions of a semiconductor quantum well

Spyridon G. Kosionis, A. F. Terzis, Emmanuel Paspalakis

Published Feb 7, 2011• 17 citations
Publisher
DOI
10.1007/s00340-010-4365-3

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We study theoretically the phenomenon of four-wave mixing in intersubband transitions of a symmetric double quantum well structure. In the theoretical model we consider two quantum well subbands that are coupled by a strong pump electromagnetic field and a weak probe electromagnetic field, taking into account the effects of electron-electron interactions. For the description of the system dynamics we use the density matrix equations obtained from the effective nonlinear Bloch equations. These equations are solved numerically for a realistic semiconductor quantum well structure GaAs/AlGaAs. We show that the four-wave mixing spectrum can be significantly dependent on the frequency and the intensity of the pump field and on electron sheet density.
We study theoretically the phenomenon of pulsed four‐wave mixing in intersubband transitions of a symmetric semiconductor quantum well structure. In the theoretical model we consider two quantum well subbands that are coupled by a strong pulsed pump electromagnetic field and a weak pulsed probe electromagnetic field. For the description of the system dynamics we use the density matrix equations obtained from the effective nonlinear Bloch equations. We calculate the time‐integrated four‐wave mixing spectrum for various pulse shapes and electron sheet densities and study the effects of pulse shape on four‐wave mixing.
We perform a time-dependent analysis of continuous wave (cw) four-wave mixing (FWM) in InGaAs/AlAs coupled double quantum well (CDQW) structures via intersubband transitions. By using the coupled Schrödinger–Maxwell approach, we obtain the corresponding explicit analytical expressions for the input probe and FWM-generated signal fields. We calculated the dependencies of the efficiency of the FWM-generated fields on cw pump fields and the depths of penetration into the CDQW sample. Such a nonlinear optical process may be used to generate coherent short-wavelength radiation efficiently in the CDQW solid state system.