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Spin kinetics in $n$-type InAs quantum wells under intense terahertz laserfields is investigated by developing fully microscopic kinetic spin Blochequations via the Floquet-Markov theory and the nonequilibrium Green's functionapproach, with all the relevant scattering, such as the electron-impurity,electron-phonon, and electron-electron Coulomb scattering explicitly included.We find that a {\em finite} steady-state terahertz spin polarization induced bythe terahertz laser field, first predicted by Cheng and Wu [Appl. Phys. Lett.{\bf 86}, 032107 (2005)] in the absence of dissipation, exists even in thepresence of all the scattering. We further discuss the effects of the terahertzlaser fields on the spin relaxation and the steady-state spin polarization. Itis found that the terahertz laser fields can {\em strongly} affect the spinrelaxation via hot-electron effect and the terahertz-field-induced effectivemagnetic field in the presence of spin-orbit coupling. The two effects competewith each other, giving rise to {\em non-monotonic} dependence of the spinrelaxation time as well as the amplitude of the steady state spin polarizationon the terahertz field strength and frequency. The terahertz field dependencesof these quantities are investigated for various impurity densities, latticetemperatures, and strengths of the spin-orbit coupling. Finally, the importanceof the electron-electron Coulomb scattering on spin kinetics is also addressed.

Kinetics of spin coherence of electrons in $n$-type InAs quantum wells under intense terahertz laser fields