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Nonlinear topological symmetry protection in a dissipative system

Author

Listed:
  • Stéphane Coen

    (The University of Auckland
    The Dodd-Walls Centre for Photonic and Quantum Technologies)

  • Bruno Garbin

    (The University of Auckland
    The Dodd-Walls Centre for Photonic and Quantum Technologies
    NcodiN SAS)

  • Gang Xu

    (The University of Auckland
    The Dodd-Walls Centre for Photonic and Quantum Technologies
    Huazhong University of Science and Technology)

  • Liam Quinn

    (The University of Auckland
    The Dodd-Walls Centre for Photonic and Quantum Technologies)

  • Nathan Goldman

    (Université Libre de Bruxelles
    Collège de France, CNRS, ENS-Université PSL)

  • Gian-Luca Oppo

    (University of Strathclyde)

  • Miro Erkintalo

    (The University of Auckland
    The Dodd-Walls Centre for Photonic and Quantum Technologies)

  • Stuart G. Murdoch

    (The University of Auckland
    The Dodd-Walls Centre for Photonic and Quantum Technologies)

  • Julien Fatome

    (The University of Auckland
    The Dodd-Walls Centre for Photonic and Quantum Technologies
    Université de Bourgogne)

Abstract

We investigate experimentally and theoretically a system ruled by an intricate interplay between topology, nonlinearity, and spontaneous symmetry breaking. The experiment is based on a two-mode coherently-driven optical resonator where photons interact through the Kerr nonlinearity. In presence of a phase defect, the modal structure acquires a synthetic Möbius topology enabling the realization of spontaneous symmetry breaking in inherently bias-free conditions without fine tuning of parameters. Rigorous statistical tests confirm the robustness of the underlying symmetry protection, which manifests itself by a periodic alternation of the modes reminiscent of period-doubling. This dynamic also confers long term stability to various localized structures including domain walls, solitons, and breathers. Our findings are supported by an effective Hamiltonian model and have relevance to other systems of interacting bosons and to the Floquet engineering of quantum matter. They could also be beneficial to the implementation of coherent Ising machines.

Suggested Citation

  • Stéphane Coen & Bruno Garbin & Gang Xu & Liam Quinn & Nathan Goldman & Gian-Luca Oppo & Miro Erkintalo & Stuart G. Murdoch & Julien Fatome, 2024. "Nonlinear topological symmetry protection in a dissipative system," Nature Communications, Nature, vol. 15(1), pages 1-11, December.
    • Handle: RePEc:nat:natcom:v:15:y:2024:i:1:d:10.1038_s41467-023-44640-x
    DOI: 10.1038/s41467-023-44640-x
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    References listed on IDEAS

    as
    1. Gang Xu & Alexander U. Nielsen & Bruno Garbin & Lewis Hill & Gian-Luca Oppo & Julien Fatome & Stuart G. Murdoch & Stéphane Coen & Miro Erkintalo, 2021. "Spontaneous symmetry breaking of dissipative optical solitons in a two-component Kerr resonator," Nature Communications, Nature, vol. 12(1), pages 1-9, December.
    2. Stephane Barland & Jorge R. Tredicce & Massimo Brambilla & Luigi A. Lugiato & Salvador Balle & Massimo Giudici & Tommaso Maggipinto & Lorenzo Spinelli & Giovanna Tissoni & Thomas Knödl & Michael Mille, 2002. "Cavity solitons as pixels in semiconductor microcavities," Nature, Nature, vol. 419(6908), pages 699-702, October.
    3. Jae K. Jang & Miro Erkintalo & Stéphane Coen & Stuart G. Murdoch, 2015. "Temporal tweezing of light through the trapping and manipulation of temporal cavity solitons," Nature Communications, Nature, vol. 6(1), pages 1-7, November.
    4. N. Moroney & L. Del Bino & S. Zhang & M. T. M. Woodley & L. Hill & T. Wildi & V. J. Wittwer & T. Südmeyer & G.-L. Oppo & M. R. Vanner & V. Brasch & T. Herr & P. Del’Haye, 2022. "A Kerr polarization controller," Nature Communications, Nature, vol. 13(1), pages 1-8, December.
    5. Wenle Weng & Romain Bouchand & Erwan Lucas & Ewelina Obrzud & Tobias Herr & Tobias J. Kippenberg, 2020. "Heteronuclear soliton molecules in optical microresonators," Nature Communications, Nature, vol. 11(1), pages 1-9, December.
    6. Marius Jürgensen & Sebabrata Mukherjee & Mikael C. Rechtsman, 2021. "Quantized nonlinear Thouless pumping," Nature, Nature, vol. 596(7870), pages 63-67, August.
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