  We propose a scheme for quantum-light generation in a nonlinear cavity
hybridized with a 2-level system. We theoretically show that, when excited by a
series of controlled pump pulses, the hybrid source can generate various Fock
states with high probabilities, such as near-on-demand generation of 1- and
2-photon states, and above 50% probability for generation of Fock states with
up to 7 photons. More importantly, the tailorable nature of the nonlinear
cavity and its pumping allows for generating Fock states with arbitrary
frequencies, even with a fixed 2-level system, creating fundamentally new
opportunities in all areas of quantum technologies.
