Bright Heralded Single-Photon Source with Ideal Purity

We demonstrate an unprecedentedly bright heralded single-photon source with ideal single-photon purity. The source is based on spontaneous four-wave mixing in silicon spiral waveguide excited by a pump with a repetition rate of 2.5 GHz. An explicit theoretical limit of purity of heralded single-photon source is derived, depending on Possoinian and thermal-like light pump, respectively. The measured coincidence counting rate exceeds 1.5 MHz, and the purity estimated by the second-order correlation function reaches the limit with a lowest value of 0.000945 (at a coincidence rate of 0.8 kHz), which has never been achieved by on-chip SFWM sources.