Based on the Keldysh formalism, the Boltzmann kinetic equation and the drift-diffusion equation have been derived for studying spin-polarization flow and spin accumulation under effect of the time-dependent Rashba spin-orbit interaction in a semiconductor quantum well. The time-dependent Rashba interaction is provided by time-dependent electric gates of appropriate shapes. Several examples of spin manipulation by gates have been considered. Mechanisms and conditions for obtaining the stationary spin density and the induced rectified dc spin current are studied.

In this paper, we present a theoretical study of the optical spectrum induced by electron-electron interaction in a spin-split two-dimensional electron gas ͑2DEG͒ in the presence of high magnetic fields. The presence of the Zeeman splitting and the Rashba spin-orbit interaction ͑RSOI͒ is considered so that the profile of the magneto-optical conductivity depends strongly on spintronic coefficients. We find that in sharp contrast to the case of a spin-degenerate 2DEG, the presence of the RSOI in a 2DEG can open up new channels for magnetooptical transition via absorption scattering. The unique features of the selection rules for optical transition in a spin-split 2DEG are examined and the dependence of the magneto-optical spectrum on radiation frequency, magnetic field, and sample parameters is discussed. This study is relevant to the characterization of the Rashba spintronic systems using magneto-optical experiments and to the application of systems such as terahertz magneto-optical devices.