  We propose feasible scenarios for revealing the modified exchange statistics
in one-dimensional anyon models in optical lattices based on an extension of
the multicolor lattice-depth modulation scheme introduced in [{Phys. Rev. A 94,
023615 (2016)}]. We show that the fast modulation of a two-component fermionic
lattice gas in the presence a magnetic field gradient, in combination with
additional resonant microwave fields, allows for the quantum simulation of
hardcore anyon models with periodic boundary conditions. Such a semi-synthetic
ring set-up allows for realizing an interferometric arrangement sensitive to
the anyonic statistics. Moreover, we show as well that simple expansion
experiments may reveal the formation of anomalously bound pairs resulting from
the anyonic exchange.
