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A structured electromagnetic reservoir can result in novel dynamics ofquantum emitters. In particular, the reservoir can be tailored to have a memoryof past interactions with emitters, in contrast to memory-less Markoviandynamics of typical open systems. In this Article, we investigate thenon-Markovian dynamics of a superconducting qubit strongly coupled to asuperconducting slow-light waveguide reservoir. Tuning the qubit into thespectral vicinity of the passband of this waveguide, we find non-exponentialenergy relaxation as well as substantial changes to the qubit emission rate.Further, upon addition of a reflective boundary to one end of the waveguide, weobserve revivals in the qubit population on a timescale 30 times longer thanthe inverse of the qubit's emission rate, corresponding to the round-triptravel time of an emitted photon. By tuning of the qubit-waveguide interactionstrength, we probe a crossover between Markovian and non-Markovian qubitemission dynamics. These attributes allow for future studies of multi-qubitcircuits coupled to structured reservoirs, in addition to constituting thenecessary resources for generation of multiphoton highly entangled states.

Collapse and Revival of an Artificial Atom Coupled to a Structured Photonic Reservoir