  We study coherent optics in topological insulator surface states with broken
time-reversal symmetry and develop a theory for the dynamical Hall effect
driven by intense electromagnetic field. The influence of optical Stark effect
enters as nonlinear dependence on the optical field in the resulting Faraday
$\theta_F$ and Kerr $\theta_K$ rotations. This nonlinear correction is found to
decrease $\theta_F$ with the strength of the A.C. electric field, whereas
$\theta_K$ exhibits a non-monotonic behavior. We also assess the effects of
relaxation and dephasing on the Hall and magneto-optical responses when the
frequency detuning is comparable to the inverse lifetime of the conduction
electrons.
