  With respect to the quantum anomalous Hall effect (QAHE), the detection of
topological nontrivial large-Chern-number phases is an intriguing subject.
Motivated by recent research on Floquet topological phases, this study proposes
a periodic driving protocol to engineer large-Chern-number phases using QAHE.
Herein, spinless ultracold fermionic atoms are studied in a two-dimensional
optical dice lattice with nearest-neighbor hopping and a $\Lambda$/V-type
sublattice potential subjected to a circular driving force. Results suggest
that large-Chern-number phases exist with Chern numbers equal to $C=-2$, which
is consistent with the edge-state energy spectra.
