Semiconductor Bloch Equations for quantum wells with dynamical screening

The nonlinear optical absorption in low dimensional semiconductors are well described by semiconductor Bloch equations, derived from Green's function or projection techniques. In a simplified notation given, the macroscopic polarization at steady state in the electron hole picture includes normalized energies and the scattering integral with both diagonal and non-diagonal dephasing. The static limit can be used as compared to the dynamically screened results,a s well as the interplay between band coupling and many body effects for different limiting cases, from isolated, 2D-like quantum wells to coupled 3D-like superlattices. Numerical results are presented to stimulate the experimental investigation performed.