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Coherent coupling of a metamaterial resonator with hydrogen-like acceptor impurities in Si

We investigate the coherent coupling of metamaterial resonators with hydrogen-like boron acceptors in doped Si at cryogenic temperature. When the resonance frequency of the metamaterial superimposes a transition frequency of the acceptors, Rabi splitting is observed. As expected, the splitting shows a square-root dependence on the density of the acceptors. Our experiments open a new route for the investigation of quantum information processes employing strong coupling of dopants in Si.