  The realization of high-quality special nonclassical states beyond strong
single atom-cavity coupling regime is a fundamental element in quantum
information science. Here, we study the nonclassical photon emission in a
single spin-1 atom coupled to an optical cavity with constructing a spin-1
Jaynes-Cummings model. By tuning quadratic Zeeman shift, the energy-spectrum
anharmonicity can be significantly enhanced with respect to the dressed-state
splitting of well-resolved n-photon resonance largely increased. The photon
emission exhibit high-quality single photon and two-photon bundles properties
with large photon numbers in the cavity and atom driven cases, respectively.
More interestingly, nonclassical optical switching from strong single-photon
blockade to two-photon bundles and super-Poissonian photon emission is achieved
and highly controllable by light-cavity detuning in the presence of both atom
and cavity driven fields. Our proposal not only open up a new avenue for
generating high-quality n-photon sources but also provide versatile
applications in quantum networks and quantum metrology.
