  The quantum anomalies at the edges correspond to the topological phases in
the system, and the chiral edge states can reflect bulk bands' topological
properties. In this paper, we demonstrate a simulation of Floquet system's
chiral edge states in position shaken finite-size honeycomb optical lattice.
Through the periodical shaking, we break the time reversal symmetry of the
system, and get the topological non-trivial states with non-zero Chen number.
At the topological non-trivial area, we find chiral edge states on different
sides of the lattice, and the locations of chiral edge states change with the
topological phase. Further, gapless boundary excitations are found to appear at
the topological phase transition points. It provides a new scheme to simulate
chiral edge states in the Floquet system, and promotes the study of gapless
boundary excitations.
