Engineering interactions and anyon statistics by multicolor   lattice-depth modulations
  We show that a multicolor modulation of the depth of an optical lattice allows for a flexible independent control of correlated hopping, occupation-dependent gauge fields, effective on-site interactions without Feshbach resonances, and nearest-neighbor interactions. As a result, the lattice-depth modulation opens the possibility of engineering with minimal experimental complexity a broad class of lattice models in current experiments with ultra-cold atoms, including Hubbard models with correlated hopping, peculiar extended models, and two-component anyon-Hubbard models. 
Lorenzo Cardarelli, Sebastian Greschner, and Luis Santos
cond-mat.quant-gas