  We study the pseudospin and spin dynamical effects in single-layer silicene
due to a perpendicular electric field periodically driven and its interplay
with the intrinsic and extrinsic (Rashba) spin-orbit interaction. We find that
the spin nonconserving processes of the real spin of the quasiparticles in
silicene, -- induced by the rather weak spin-orbit mechanisms --, manifest
themselves as shifts of the resonances of its quasienergy spectrum in the low
coupling regime to the driving field. We show that there is an interesting
cooperative effect among the, in principle, competing Rashba and intrinsic
spin-orbit contributions. This is explicitly illustrated by exact and
approximated analytical solutions of the dynamical equations. In addition, we
show that a finite Rashba spin-orbit interaction is indeed necessary in order
to achieve a nonvanishing spin polarization. As additional feature, trivial and
nontrivial topological phases might be distinguished from each other as fast or
slow dynamical fluctuations of the spin polarization. We mention the possible
experimental detection schemes of our theoretical results and their relevance
in new practical implementation of periodically driven interactions in silicene
physics and related two-dimensional systems.
