Lattice topology and spontaneous parametric down-conversion in quadratic nonlinear waveguide arrays

Daniel Leykam, Alexander S. Solntsev, Andrey A. Sukhorukov, Anton S. Desyatnikov

    Research output: Contribution to journalArticle

    5 Citations (Scopus)

    Abstract

    We analyze spontaneous parametric down-conversion in various experimentally feasible one-dimensional quadratic nonlinear waveguide arrays, with emphasis on the relationship between the lattice's topological invariants and the biphoton correlations. Nontrivial topology results in a nontrivial "winding" of the array's Bloch waves, which introduces additional selection rules for the generation of biphotons, independent of existing control using the pump beam's spatial profile and phase-matching conditions. In finite lattices, nontrivial topology produces single-photon edge modes, resulting in "hybrid" biphoton edge modes, with one photon localized at the edge and the other propagating into the bulk. When the single-photon band gap is sufficiently large, these hybrid biphoton modes reside in a band gap of the bulk biphoton Bloch wave spectrum. Numerical simulations support our analytical results.

    Original languageEnglish
    Article number033815
    JournalPhysical Review A - Atomic, Molecular, and Optical Physics
    Volume92
    Issue number3
    DOIs
    Publication statusPublished - Sep 10 2015

    Fingerprint

    topology
    waveguides
    photons
    phase matching
    pumps
    profiles
    simulation

    ASJC Scopus subject areas

    • Atomic and Molecular Physics, and Optics

    Cite this

    Lattice topology and spontaneous parametric down-conversion in quadratic nonlinear waveguide arrays. / Leykam, Daniel; Solntsev, Alexander S.; Sukhorukov, Andrey A.; Desyatnikov, Anton S.

    In: Physical Review A - Atomic, Molecular, and Optical Physics, Vol. 92, No. 3, 033815, 10.09.2015.

    Research output: Contribution to journalArticle

    @article{f768b20ba7d4466087e1c3d651de3e32,
    title = "Lattice topology and spontaneous parametric down-conversion in quadratic nonlinear waveguide arrays",
    abstract = "We analyze spontaneous parametric down-conversion in various experimentally feasible one-dimensional quadratic nonlinear waveguide arrays, with emphasis on the relationship between the lattice's topological invariants and the biphoton correlations. Nontrivial topology results in a nontrivial {"}winding{"} of the array's Bloch waves, which introduces additional selection rules for the generation of biphotons, independent of existing control using the pump beam's spatial profile and phase-matching conditions. In finite lattices, nontrivial topology produces single-photon edge modes, resulting in {"}hybrid{"} biphoton edge modes, with one photon localized at the edge and the other propagating into the bulk. When the single-photon band gap is sufficiently large, these hybrid biphoton modes reside in a band gap of the bulk biphoton Bloch wave spectrum. Numerical simulations support our analytical results.",
    author = "Daniel Leykam and Solntsev, {Alexander S.} and Sukhorukov, {Andrey A.} and Desyatnikov, {Anton S.}",
    year = "2015",
    month = "9",
    day = "10",
    doi = "10.1103/PhysRevA.92.033815",
    language = "English",
    volume = "92",
    journal = "Physical Review A",
    issn = "2469-9926",
    publisher = "American Physical Society",
    number = "3",

    }

    TY - JOUR

    T1 - Lattice topology and spontaneous parametric down-conversion in quadratic nonlinear waveguide arrays

    AU - Leykam, Daniel

    AU - Solntsev, Alexander S.

    AU - Sukhorukov, Andrey A.

    AU - Desyatnikov, Anton S.

    PY - 2015/9/10

    Y1 - 2015/9/10

    N2 - We analyze spontaneous parametric down-conversion in various experimentally feasible one-dimensional quadratic nonlinear waveguide arrays, with emphasis on the relationship between the lattice's topological invariants and the biphoton correlations. Nontrivial topology results in a nontrivial "winding" of the array's Bloch waves, which introduces additional selection rules for the generation of biphotons, independent of existing control using the pump beam's spatial profile and phase-matching conditions. In finite lattices, nontrivial topology produces single-photon edge modes, resulting in "hybrid" biphoton edge modes, with one photon localized at the edge and the other propagating into the bulk. When the single-photon band gap is sufficiently large, these hybrid biphoton modes reside in a band gap of the bulk biphoton Bloch wave spectrum. Numerical simulations support our analytical results.

    AB - We analyze spontaneous parametric down-conversion in various experimentally feasible one-dimensional quadratic nonlinear waveguide arrays, with emphasis on the relationship between the lattice's topological invariants and the biphoton correlations. Nontrivial topology results in a nontrivial "winding" of the array's Bloch waves, which introduces additional selection rules for the generation of biphotons, independent of existing control using the pump beam's spatial profile and phase-matching conditions. In finite lattices, nontrivial topology produces single-photon edge modes, resulting in "hybrid" biphoton edge modes, with one photon localized at the edge and the other propagating into the bulk. When the single-photon band gap is sufficiently large, these hybrid biphoton modes reside in a band gap of the bulk biphoton Bloch wave spectrum. Numerical simulations support our analytical results.

    UR - http://www.scopus.com/inward/record.url?scp=84941914392&partnerID=8YFLogxK

    UR - http://www.scopus.com/inward/citedby.url?scp=84941914392&partnerID=8YFLogxK

    U2 - 10.1103/PhysRevA.92.033815

    DO - 10.1103/PhysRevA.92.033815

    M3 - Article

    VL - 92

    JO - Physical Review A

    JF - Physical Review A

    SN - 2469-9926

    IS - 3

    M1 - 033815

    ER -