Floquet engineering magnetic materials with polarized and unpolarized light.

Floquet engineering is a powerful tool to modify materials by coupling them to periodic light. Traditionally, amplitude and frequency are varied, but the polarization can be tuned to explore a larger phase space. We consider both polarized and several kinds of unpolarized light on insulating magnetic materials, showing that varied polarization protocols enhance different exchange couplings. As an illustration, we couple the triangular lattice Hubbard model at half-filling to periodic light with several polarizations and discuss how to alternately induce Dirac and chiral spin liquids.