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We present an experimental proposal to achieve a strong photon blockade byemploying electromagnetically induced transparency (EIT) with singlealkaline-earth-metal atom trapped in an optical cavity. In the presence ofoptical Stark shift, both second-order correlation function and cavitytransmission exhibit asymmetric structures between the red and blue sidebandsof the cavity. For a weak control field, the photon quantum statistics for thecoherent transparency window (i.e. atomic quasi-dark state resonance) areinsensitive to the Stark shift, which should also be immune to the spontaneousemission of the excited state by taking advantage of the intrinsic dark-statepolariton of EIT. Interestingly, by exploiting the interplay between Starkshift and control field, the strong photon blockade at atomic quasi-dark stateresonance has an optimal second-order correlation function$g^{(2)}(0)\sim10^{-4}$ and a high cavity transmission simultaneously. Theunderlying physical mechanism is ascribed to the Stark shift enhanced spectrumanharmonicity and the EIT hosted strong nonlinearity with loss-insensitiveatomic quasi-dark state resonance, which is essentially different from theconventional proposal with emerging Kerr nonlinearity in cavity-EIT. Ourresults reveal a new strategy to realize high-quality single photon sources,which could open up a new avenue for engineering nonclassical quantum states incavity quantum electrodynamics.

Tunable Photon blockade with single atom in a cavity under electromagnetically induced transparency