  We investigate the photoinduced effect to the silicene, which is a
topological insulator, by the circularly polarized light in off-resonance
regime with a frequency much larger than the critical value (also much larger
than the frequency about the particle-hole pair creation), and with a
perpendicular electric field. The anomalous Rabi frequency which is a
non-linear optical, arised by the off-resonance circularly polarized light. The
temporal behavior of the pseudospin, valley, and spin degrees of freedom, which
are momentum- and quasienergy-dependent, are explored. The anomalous Rabi
oscillation is also related to the photoinduced topological phase transition
between the topological trivial state with zero Chern number and gapped edge
state and the topological nontrivial state with nonzero Chern number and
gapless edge state. The off-resonance laser can also induce the topological
phase transition by manipulating the energy band structure, rather than excite
the atoms to the high quantum-number states like the resonance light. The
exchange between the radiation driving field and the two-component dynamical
polarizations with the dipole oscillation, plays a important role in the
determination of the out-of-plane spin polarization and the motion of the
center of mass, which can induced a collapse-and-revival pattern under a
certain condition. The Rabi oscillation observed in the motion of the center of
mass in a laser-induced harmonic potential can be used to detect the time
evolution of the atom polulation. Our results can also be applied to the other
two-dimension low-energy Dirac models or the surface of the three-dimension
topological insulators, and even the weyl semimetal with the photoinduced
topological phase transition.
