  Multi-Weyl semimetals(m-WSMS) are characterized by anisotropic non-linear
energy dispersion along 2-D plane and a linear dispersion in orthogonal
direction. They have topological charge J and are realized when two or multiple
Weyl nodes with nonzero net monopole charge bring together onto a high-symmetry
point. The model Hamiltonians of such systems show various phases such as
trivial normal insulators (NIs), WSMs and quantum anomalous Hall(QAH) states
depending on the model parameters. We study a periodic driving of such
Hamiltonians in trivial NI phase by circularly polarized light and shows this
phase can be tunable to Weyl semimetals phase. This transition can be
accomplished with large anomalous Hall conductivity which could be observed in
transport measurements or pump-probe angle resolved photoemission spectroscopy
experiments.
