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The coherent quantum transport of matter wave through a ring-shaped circuitattached to leads defines an iconic system in mesoscopic physics that hasallowed both to explore fundamental questions in quantum science and to drawimportant avenues for conceiving devices of practical use.  Here we study the source-to-drain transport of excitations going through aring-network, without propagation of matter waves. We model the circuit interms of a spin system with specific long-range interactions that are relevantfor quantum technology, such as Rydberg atoms trapped in optical tweezers orion traps. Inspired by the logic of rf- and dc-SQUIDs, we consider rings withone and two local energy offsets, or detunings. As a combination of specificphase shifts in going though the localized detunings and as a result ofcoherent tunneling, we demonstrate how the transport of excitations can becontrolled, with a distinctive dependence on the range of interactions.

Coherent excitation transport through ring-shaped networks