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π-solitons on a ring of waveguides

Author

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  • Ivanov, Sergey K.
  • Kartashov, Yaroslav V.

Abstract

We study the existence and stability of π-solitons on a ring of periodically oscillating waveguides. The array is arranged into Su–Schrieffer–Heeger structure placed on a ring, with additional spacing between two ends of the array. Due to longitudinal oscillations of waveguides, this Floquet structure spends half of the longitudinal period in topological phase, while on the other half it is nontopological. Nevertheless, waveguide oscillations lead to the emergence of anomalous topological π-modes at both ends of the structure that strongly couple in our ring geometry, leading to the formation of previously unexplored in-phase and out-of-phase π-modes. We study topological solitons bifurcating from such linear π-modes and demonstrate how their properties and stability depend on the size of the ring and on spacing between two ends of the array.

Suggested Citation

  • Ivanov, Sergey K. & Kartashov, Yaroslav V., 2023. "π-solitons on a ring of waveguides," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    • Handle: RePEc:eee:chsofr:v:174:y:2023:i:c:s0960077923007671
    DOI: 10.1016/j.chaos.2023.113866
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    References listed on IDEAS

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    1. Mikael C. Rechtsman & Julia M. Zeuner & Yonatan Plotnik & Yaakov Lumer & Daniel Podolsky & Felix Dreisow & Stefan Nolte & Mordechai Segev & Alexander Szameit, 2013. "Photonic Floquet topological insulators," Nature, Nature, vol. 496(7444), pages 196-200, April.
    2. Sebabrata Mukherjee & Alexander Spracklen & Manuel Valiente & Erika Andersson & Patrik Öhberg & Nathan Goldman & Robert R. Thomson, 2017. "Experimental observation of anomalous topological edge modes in a slowly driven photonic lattice," Nature Communications, Nature, vol. 8(1), pages 1-7, April.
    3. Lukas J. Maczewsky & Julia M. Zeuner & Stefan Nolte & Alexander Szameit, 2017. "Observation of photonic anomalous Floquet topological insulators," Nature Communications, Nature, vol. 8(1), pages 1-7, April.
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