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

T. Onodera, Marco Liscidini, J. E. Sipe, and L. G. Helt
Phys. Rev. A 93, 043837 – Published 21 April 2016

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.

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  • Received 10 September 2015
  • Revised 21 January 2016

DOI:https://doi.org/10.1103/PhysRevA.93.043837

©2016 American Physical Society

Physics Subject Headings (PhySH)

Atomic, Molecular & Optical

Authors & Affiliations

T. Onodera1, Marco Liscidini2, J. E. Sipe1, and L. G. Helt3

  • 1Department of Physics and Institute for Optical Sciences, University of Toronto, 60 St. George Street, Toronto, Ontario M5S1A7, Canada
  • 2Dipartimento di Fisica, Università degli Studi di Pavia, via Bassi 6, Pavia, Italy
  • 3Centre for Ultrahigh bandwidth Devices for Optical Systems (CUDOS), QSciTech Research Centre, MQ Photonics Research Centre, Department of Physics and Astronomy, Macquarie University, New South Wales 2109, Australia

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Issue

Vol. 93, Iss. 4 — April 2016

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