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We present a theory for the Ruderman-Kittel-Kasuya-Yosida (RKKY) interactionmediated by a two-dimensional (2D) electron system subjected to periodicdriving. This is demonstrated for a heterostructure consisting of twoferromagnets laterally sandwiching the 2D metallic spacer. Our calculationsreveal new non-analytic features in the spin susceptibility. For weaklight-matter coupling, the RKKY interaction shows oscillations with a periodtunable by the light amplitude and frequency. For stronger light-mattercoupling, the interaction becomes non-oscillatory and remains purelyferromagnetic.

Floquet Control of Indirect Exchange Interaction in Periodically Driven Two-Dimensional Electron Systems