  We report here the analytical formula for the time-resolved dynamical
Franz-Keldysh effect (Tr-DFKE) under circularly polarized light. We assume the
Houston function as the time-dependent wave function of the parabolic two-band
system. Our formula shows that the sub-cycle change of the optical properties
disappears, which is a significant feature of the Tr-DFKE under linear
polarized light and is different from the static Franz-Keldysh effect.
