Abstract
The nonequilibrium Green's function technique is used to derive on the level of a screened Hartree-Fock approximation the nonlinear polarization equation together with the coupled transport equations for spatially inhomogeneous systems in the hydrodynamic regime. With these equations one can calculate the optical spectra of semiconductors with finite geometries for arbitrary light intensities without the use of additional boundary conditions. Furthermore, we derive in the collisionless regime the nonlinear polarization equation for a nonresonantly excited exciton system, which is the basis for the description of the recently observed optical Stark effect.
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Müller, J.F., Mewis, R. & Haug, H. Theory of the nonlinear optical polarization in laser-excited semiconductors. Z. Physik B - Condensed Matter 69, 231–238 (1987). https://doi.org/10.1007/BF01307279
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DOI: https://doi.org/10.1007/BF01307279