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For a standard two-level atom coupled to the quantized field of a resonantcavity, finite temperature effects lead to thermal occupation of the cavitymodes that obfuscates measurement of the quantum nature of the atom-lightinteraction. In this paper we demonstrate that using a hybrid system of asuperconducting cavity coupled to a multi-level Rydberg atom it is possible toobserve the quantum nature of strong coupling even at finite temperatures, andto exploit this coupling to permit cooling of the thermal microwave modetowards the ground-state, enabling observation of coherent vacuum Rabioscillations even at 4~K for realistic experimental parameters. Cooling formultiple atoms is also explored, showing maximal cooling for small samples,making this a viable approach to cavity cooling with potential applications inlong-range coupling of superconducting qubits via thermal waveguides.

Strong coupling and active cooling in a finite temperature hybrid atom-cavity system