  One of the most intriguing advantage of Floquet engineering is to generate
new phases with large topological invariants. In this work, we experimentally
simulate a periodically quenched generalized Haldane model on an NV center in
diamond, and observe its Floquet Chern insulator phases with Chern numbers
$C=1,2,4$ by imaging the static and dynamic spin textures in momentum space.
Our work reveals the power of Floquet driving in transforming system's topology
and generating large Chern number phases. It further establishes a unique
experimental scheme to detect Floquet topological phases in two and higher
spatial dimensions.
