• Photonics Research
  • Vol. 6, Issue 4, A6 (2018)
Diana A. Antonosyan1, Alexander S. Solntsev1、2, and Andrey A. Sukhorukov1、*
Author Affiliations
  • 1Nonlinear Physics Centre, Research School of Physics and Engineering, Australian National University, Canberra, ACT 2601, Australia
  • 2School of Mathematical and Physical Sciences, University of Technology Sydney, Ultimo, NSW 2007, Australia
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    DOI: 10.1364/PRJ.6.0000A6 Cite this Article Set citation alerts
    Diana A. Antonosyan, Alexander S. Solntsev, Andrey A. Sukhorukov. Photon-pair generation in a quadratically nonlinear parity-time symmetric coupler[J]. Photonics Research, 2018, 6(4): A6 Copy Citation Text show less

    Abstract

    Integrated nonlinear waveguide structures enable generation of quantum entangled photons. We describe theoretically the effects of spatially inhomogeneous loss on the creation of photon pairs through spontaneous parametric down-conversion in quadratically nonlinear directional couplers, where photons experience effective parity-time (PT) symmetric potential due to the presence of optical loss in one of the waveguides. We show that for losses below the PT-breaking threshold, the quantum photon states can be flexibly tuned similarly to conservative couplers, whereas for stronger losses, the correlations between two waveguide modes are suppressed. We also formulate a quantum-classical correspondence with sum-frequency generation for fast evaluation of device performance. These results can be applied for the design of quantum plasmonic circuits.
    ϕns,ni(z)z=i(βs+βi)ϕns,ni+δns,niAns(z)iCsϕ3ns,niiCiϕns,3ni(δns,2γs+δni,2γi)ϕns,ni,(1)

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    Anp(z)z=iβpAniCpA3npδnp,2γpA2,(2)

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    ϕns,ni(z)=ei(βs+βi)z0zdξnp,np=12Anp(0)G(ξ,np,np;Cp,γp)G(zξ,np,ns;Cs,γs)G(zξ,np,ni;Ci,γi)eiΔβξ,(3)

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    unsz=iβsunsiCsu3nsδns,2γsu2+wnsvns*,(4)

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    vniz=iβivniiCiv3niδni,2γiv2+wniuni*,(5)

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    wnpz=iβpwnpiCpw3npδnp,2γpw2+unpvnp,(6)

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    Diana A. Antonosyan, Alexander S. Solntsev, Andrey A. Sukhorukov. Photon-pair generation in a quadratically nonlinear parity-time symmetric coupler[J]. Photonics Research, 2018, 6(4): A6
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