Controlled merging and annihilation of localized dissipative structures in an AC-driven damped nonlinear Schrödinger system

Jang, Jae K and Erkintalo, Miro and Luo, Kathy and Oppo, Gian-Luca and Coen, Stéphane and Murdoch, Stuart G (2016) Controlled merging and annihilation of localized dissipative structures in an AC-driven damped nonlinear Schrödinger system. New Journal of Physics, 18. 033034. ISSN 1367-2630

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    Abstract

    We report studies of controlled interactions of localized dissipative structures in a system described by the AC-driven damped nonlinear Schrödinger equation (equivalent to the Lugiato-Lefever model). Extensive numerical simulations reveal a variety of interaction scenarios that are governed by the properties of the system driver, notably its gradients. In our experiments, performed with a nonlinear optical bre (Kerr) resonator, the phase prole of the driver is used to induce interactions of the dissipative structures on demand. We observe both merging and annihilation of localized structures, i.e. interactions governed by the dissipative, out of-equilibrium nature of the system. These interactions fundamentally dier from those typically found for conventional conservative solitons.

    ORCID iDs

    Jang, Jae K, Erkintalo, Miro, Luo, Kathy, Oppo, Gian-Luca ORCID logoORCID: https://orcid.org/0000-0002-5376-4309, Coen, Stéphane and Murdoch, Stuart G;