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Spontaneous parametric down-conversion (SPDC) in a laser pumped opticalnonlinear medium can produce heralded single photons with a high purity but avery low yield. Improving the yield by increasing the pump power in SPDCinevitably reduces the purity due to excitation of multi-photon events. Wepropose a scheme to overcome this purity-yield trade-off by suppressingmulti-photon events in a cavity-enhanced SPDC via the photon blockade effect.By introducing a strong photon-photon interaction into the intracavity mediumand increasing the pump power, we can improve the available single-photon yieldto larger than $90\%$, while maintaining a high purity of $99\%$, towardson-demand generation of single photons through the SPDC process. Ourquasi-on-demand SPDC sources may boost single-photon-based quantum informationtechnology.

Towards On-Demand Heralded Single-Photon Sources via Photon Blockade