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Experimental observation of symmetry-breaking nonlinear modes in an active ring

Nature volume 426, pages 159–162 (2003)Cite this article

Abstract

Solitons are large-amplitude, spatially confined wave packets in nonlinear media. They occur in a wide range of physical systems, such as water surfaces, optical fibres, plasmas, Bose–Einstein condensates and magnetically ordered media1,2. A distinguishing feature of soliton behaviour that is common to all systems, is that they propagate without a change in shape owing to the stabilizing effect of the particular nonlinearity involved1,3. When the propagation path is closed, modes consisting of one or several solitons may rotate around the ring, the topology of which imposes additional constraints on their allowed frequencies and phases4,5. Here we measure the mode spectrum of spin-wave solitons in a nonlinear active ring constructed from a magnetic ferrite film. Several unusual symmetry-breaking soliton-like modes are found, such as ‘Möbius’ solitons, which break the fundamental symmetry of 2π-periodicity in the phase change acquired per loop: a Möbius soliton needs to travel twice around the ring to meet the initial phase condition.

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Figure 1: Schematic layout of the active ring based on an yttrium iron garnet film as the nonlinear medium for spin-wave propagation and the experimental arrangement for observation of nonlinear modes in the ring.
Figure 2: Waveforms of the modes observed in the ring.
Figure 3: Waveforms of the one-soliton modes in the experiments with two sequences of the pumping pulses.

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Acknowledgements

Support by the Deutsche Forschungsgemeinschaft is gratefully acknowledged. We also thank J.D. Comins for a careful reading of the manuscript.

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Authors and Affiliations

  1. Fachbereich Physik and Forschungsschwerpunkt MINAS, Technische Universität Kaiserslautern, Erwin-Schrödinger-Straße 56, Kaiserslautern, 67663, Germany

    Sergej O. Demokritov, Alexander A. Serga, Vladislav E. Demidov & Burkard Hillebrands

  2. St Petersburg Electrotechnical University, St Petersburg, 197376, Russia

    Michail P. Kostylev & Boris A. Kalinikos

Authors
  1. Sergej O. Demokritov
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  2. Alexander A. Serga
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  3. Vladislav E. Demidov
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  4. Burkard Hillebrands
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  5. Michail P. Kostylev
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  6. Boris A. Kalinikos
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Correspondence to Sergej O. Demokritov.

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Demokritov, S., Serga, A., Demidov, V. et al. Experimental observation of symmetry-breaking nonlinear modes in an active ring. Nature 426, 159–162 (2003). https://doi.org/10.1038/nature02042

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