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The monochromatic driving of a quantum system is a successful technique inquantum simulations, well captured by an effective Hamiltonian approach, andwith applications in artificial gauge fields and topological engineering. Inthis letter, we investigate the modeling of multichromatic Floquet driving forthe slow degrees of freedom. Within a well-defined range of parameters, we showthat the time coarse-grained dynamics of such a driven closed quantum system isencapsulated in an effective Master equation for the time-averaged densitymatrix, that evolves under the action of an effective Hamiltonian and tunableLindblad-type dissipation/quantum gain terms. As an application, we emulate thedissipation induced by phase noise and incoherent emission/absorption processesin the bichromatic driving of a two-level system.

Multichromatic Floquet engineering of quantum dissipation