Coherence in parametric fluorescence

Abstract

We investigate spontaneous four wave mixing (SFWM) in a single-channel side-coupled integrated spaced sequence of resonators (SCISSOR). Analytic expressions for the number of photon pairs generated, as well as the biphoton wave function (joint spectral amplitude) describing the pairs, are derived and numerically computed for different pump pulse durations and numbers of ring resonators. In the limit of a long input pump pulse, we show a strong analogy between super-linear scaling of generation efficiency with respect to the number of rings in the structure and Dicke superradiance. More generally, we discuss in detail the factors that influence the shape of the biphoton wave function, as well as the conditions for observing super-SFWM.

References in corpus (6)

• Photonic Boson Sampling in a Tunable Circuit
• Experimental joint weak measurement on a photon pair as a probe of Hardy's Paradox
• Probing multimode squeezing with correlation functions
• Ultra-low power generation of twin photons in a compact silicon ring resonator
• Entanglement generation using silicon wire waveguide
• Time ordering effects in the generation of entangled photons using nonlinear optical processes

Cited by in corpus (9)

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• Generation of path-encoded Greenberger-Horne-Zeilinger states
• Generation of photon pairs by spontaneous four-wave mixing in linearly uncoupled resonators
• Super spontaneous four-wave mixing in an array of silicon microresonators
• A path integral description of quantum nonlinear optics in arbitrary media
• Nonlinear characterisation of a silicon integrated Bragg waveguide filter
• An asymptotic field approach for the control of dipole emission in integrated structures