International Conference on Transparent Optical Networks

Super spontaneous four-wave mixing

Marco Liscidini, Tatsuhiro Onodera, L. G. Helt, John E. Sipe

Published Jun 1, 2013• 0 citations

Abstract

Using a fully quantum formalism we show that the probability of photon pair production via spontaneous four-wave-mixing in a sequence of N resonators can scale quadratically with N. This is the result of quantum interference in analogy with Dicke superradiance, in which the spontaneous emission rate scales quadratically with the number of atoms.

DOI: 10.1109/icton.2013.6602932

Related papers

Super spontaneous four-wave mixing in single-channel side-coupled integrated spaced sequence of resonator structures

L. G. Helt, John E. Sipe, Marco Liscidini

We consider spontaneous four-wave mixing (SFWM) in a single-channel side-coupled integrated spaced sequence of resonators within a fully quantum formalism. We show that the probability of photon pair production can scale quadratically with the number of resonators, a phenomenon we call super SFWM, in analogy with super-radiant spontaneous emission. Remarkably, in this situation the spectral probability density of the generated photons is independent of the number of rings.

Optics LettersOct 22, 201211 citations

Superradiance in Parametric Fluorescence

Marco Liscidini, Tatsuhiro Onodera, L. G. Helt +1 more

We show that the pair generation rate in spontaneous four-wave-mixing in a sequence of N resonators can scale quadratically with N as a result of a quantum interference in analogy with Dickie superradiant spontaneous emission.

Jan 1, 20130 citations

Parametric fluorescence in a sequence of resonators: An analogy with Dicke superradiance

Tatsuhiro Onodera, Marco Liscidini, John E. Sipe +1 more

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.

arXiv:1509.03180Physical Review AApr 21, 201625 citations

Towards superradiant spontaneous four wave mixing in an array of silicon microresonators

Massimo Borghi, Federico Andrea Sabattoli, Houssein El Dirani +9 more

We demonstrate cooperative spontaneous four wave mixing in an array of silicon resonators, in which the photon pair generation rate is enhanced with respect to the incoherent sum of the rates of the individual emitters.

Jan 1, 20230 citations

Four-wave mixing and generation of correlated photon pairs in silicon ring resonators and photonic molecules

Stefano Azzini, Davide Grassani, Michael John Strain +8 more

We study, both theoretically and experimentally, emission of correlated photon-pairs by spontaneous four-wave-mixing in silicon integrated resonators. We show that the number of generated pairs in the quantum experiment is predicted by a classical experiment.

Jan 1, 20131 citation

Photon pair generation in leaky coupled-resonator optical waveguides via spontaneous four-wave mixing

Mohsen Kamandar Dezfouli, Marc M. Dignam

A fully quantum mechanical formalism is developed to calculate photon pair detection probabilities in leaky coupled-resonator optical waveguide. Using our formalism we have studied the effect of loss on pair evolution as well as higher order pair generations in the system.

Jan 1, 20150 citations