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Waveguides allow for direct coupling of emitters separated by largedistances, offering a path to connect remote quantum systems. However, whenfacing the distances needed for practical applications, retardation effects dueto the finite speed of light are often overlooked. Previous works studied thenon-Markovian dynamics of emitters with retardation, but the properties of theradiated field remain mostly unexplored. By considering a toy model of twodistant two-level atoms coupled through a waveguide, we observe that thespectrum of the radiated field exhibits non-Markovian features such aslinewidth broadening beyond standard superradiance, or narrow Fanoresonance-like peaks. We also show that the dipole-dipole interaction decaysexponentially with distance as a result of retardation, with the rangedetermined by the atomic linewidth. We discuss a proof-of-conceptimplementation of our results in a superconducting circuit platform.

Collective radiation from distant emitters