Abstract
A novel time-domain approach using the momentum operator is used to model spontaneous four-wave mixing in a lossless nonlinear waveguide. The effects of self- and cross-phase modulation on the photon-pair production rate and heralded photon purity are investigated. We show that in the special case where only one half of the photon-pair state is filtered that the generation rate and purity of the heralded photons are unmodified by the presence of self- and cross-phase modulation. The significance of this special case arises when we consider heralded single-photon sources, where future schemes are likely to only filter the herald photon to ensure a high heralding efficiency is maintained.
Highlights
A high brightness source of pure and indistinguishable single photons is a crucial building block for several quantum technologies, including quantum networks [1], quantum computing and simulation [2,3], and quantum-enhanced sensing [4]
We examine the production of photon pairs by spontaneous four-wave mixing (SFWM) in a nonlinear waveguide [13,14]
Spontaneous four-wave mixing in integrated optical waveguides offers a promising route to realizing pure, indistinguishable, and, if several such sources are multiplexed together, on-demand single photons
Summary
A high brightness source of pure and indistinguishable single photons is a crucial building block for several quantum technologies, including quantum networks [1], quantum computing and simulation [2,3], and quantum-enhanced sensing [4]. One half of the pair can be used as a herald for the photon in the counterpart mode In this way, nonclassical interference can be demonstrated between photons generated in multiple different sources [16,17,18,19,20], which offers a route towards scaling-up to higher photon-number experiments. This allows the production of high-purity heralded photons, it will come at the expense of the heralding rate, since many of the generated photon pairs will be rejected by the tight filtering To compensate for this and maintain a reasonable heralding rate, the use of intense pump pulses is required. It is the aim of this work to develop a complete model including self- and cross-phase modulation, developing on previous work done on photon-pair production in fiber [27], and to determine their impact on the photon-pair production rate and purity of the heralded photons
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