We investigate the interactions between two-level emitters mediated by time-dependent, one-dimensional, structured photonic baths, focusing on Floquet topological lattices. Building on the framework of periodically driven photonic lattices, we demonstrate and characterize the emergence of tunable-range emitter interactions mediated by bound states absent in static photonic lattices. In particular, we show that one can obtain different spatial interaction dependencies not only with respect to the static bath scenarios, but also in qualitatively different regimes due to the time-dependent nature of the bath, for example, when the emitters have different frequencies. This work sheds light on the interplay between nonequilibrium photonics and quantum optics and can serve as a basis for analyzing Floquet photonic lattices in higher dimensions.

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• Quantum optics