We theoretically study the deterministic generation of photon Fock states on-demand using a protocol based on a Jaynes Cummings quantum random walk which includes damping. We then show how each of the steps of this protocol can be implemented in a low temperature solid-state quantum system with a Nitrogen-Vacancy centre in a nanodiamond coupled to a nearby high-Q optical cavity. By controlling the coupling duration between the NV and the cavity via the application of a time dependent Stark shift, and by increasing the decay rate of the NV via stimulated emission depletion (STED) a Fock state with high photon number can be generated on-demand. Our setup can be integrated on a chip and can be accurately controlled.
Single photons from solid-state quantum emitters are playing a crucial role in the development of photonic quantum technologies and, by extension, higher order states, such as N-photon Fock states, allow for applications, e.g., in quantum-enhanced sensing. To verify the applicability of these states in future quantum technological implementations involving photon-atom interactions (i.e., storage of a quantum state in alkali vapor and photon delay) we utilize in the present study the dispersion of a hot cesium vapor at the
D1 line to realize a temporal delay for two-photon Fock states as a result of the slow-light effect. Single photons are generated on demand from an InGaAs quantum dot, while their quantum interference at a beam splitter is used to generate a two-photon Fock state. We verify the successful propagation and the preservation of the two-photon Fock states after the interaction with the slow-light medium, while a significant temporal delay (five times the initial photon length) is achieved with a high vapor transmission of
90.