Subnanoscale Localization of Rare-Earth-Ion in Doped Crystal via Electromagnetically Induced Transparency

We present a subnanoscale localization of three-level $\Lambda $-type rare-rarth-ion doped in crystal via coupling it to a Gaussian probe beam and a Laguerre-Gaussian control beam in the dark state of electromagnetically induced transparency. This opens a possibility for coherent manipulation and spatial selection of individual solid qubits for quantum information science applications.