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We study the non-linear current response of a Dirac model that is coupled totwo time-periodic electro-magnetic fields with different frequencies. Wedistinguish between incommensurable and commensurable frequencies, the lattercharacterized by their ratio p/q with co-prime integers p and q. Coupling the(effective) two-level system to a dissipative bath ensures a well-definedlong-time solution for the reduced density operator and, thus, the current. Wethen analyze the spatio-temporal symmetries that force certain currentcomponents to vanish and close with conclusions for directed average currents.

Graphene under bichromatic driving: Commensurability and spatio-temporal symmetries