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We propose an experiment with two coupled microwave cavities and a “tunneling” photon observed by the passage of Rydberg atoms. We model the coupled cavities as in Ref. \cite{art1} and include dissipative effects as well as limited detection efficiency. We also consider realistic finite atom-field interaction times and provide for a simple analytical expression for the photon “tunneling” probability including all these effects. We show that for sufficiently small dissipation constants the effect can be observed with current experimental facilities.

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