  Electric polarization is a geometric phenomenon in solids and has a close
relationship to the symmetry of the system. Here we propose a mechanism to
dynamically induce and manipulate electric polarization by using an external
light field. Specifically, we show that application of bicircular lights (BCLs)
control the rotational symmetry of the system and can generate electric
polarization. To this end, we use Floquet theory to study a system subjected to
a two-frequency drive. We derive an effective Hamiltonian with high frequency
expansions, for which the electric polarization is computed with the Berry
phase formula. We demonstrate the dynamical control of polarization for a
one-dimensional SSH chain, a square lattice model, and a honeycomb lattice
model.
