When a quantum system interacts with multiple reservoirs, the environmental effects are usually treated in an additive manner. We showed that that assumption breaks down for non-Markovian environments that have finite memory times. Specifically, we demonstrated that quantum interferences between independent environments could qualitatively modify the dynamics of the physical system. We illustrated that effect with a two level system coupled to two structured photonic reservoirs, discussed its origin using a non-equilibrium diagrammatic technique, and showed an example when the application of that interference could result in an improved dark state preparation in a Λ system.

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