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Quantized topological pumping of solitons in nonlinear photonics and ultracold atomic mixtures

Author

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  • Nader Mostaan

    (Ludwig-Maximilians-Universität München
    Munich Center for Quantum Science and Technology (MCQST)
    CENOLI, Université Libre de Bruxelles, CP 231)

  • Fabian Grusdt

    (Ludwig-Maximilians-Universität München
    Munich Center for Quantum Science and Technology (MCQST))

  • Nathan Goldman

    (CENOLI, Université Libre de Bruxelles, CP 231)

Abstract

Exploring the interplay between topological band structures and tunable nonlinearities has become possible with the development of synthetic lattice systems. In this emerging field of nonlinear topological physics, an experiment revealed the quantized motion of solitons in Thouless pumps and suggested that this phenomenon was dictated by the Chern number of the band from which solitons emanate. Here, we elucidate the origin of this nonlinear topological effect, by showing that the motion of solitons is established by the quantized displacement of the underlying Wannier functions. Our general theoretical approach, which fully clarifies the central role of the Chern number in solitonic pumps, provides a framework for describing the topological transport of nonlinear excitations in a broad class of physical systems. Exploiting this interdisciplinarity, we introduce an interaction-induced topological pump for ultracold atomic mixtures, where solitons of impurity atoms experience a quantized drift resulting from genuine interaction processes with their environment.

Suggested Citation

  • Nader Mostaan & Fabian Grusdt & Nathan Goldman, 2022. "Quantized topological pumping of solitons in nonlinear photonics and ultracold atomic mixtures," Nature Communications, Nature, vol. 13(1), pages 1-10, December.
    • Handle: RePEc:nat:natcom:v:13:y:2022:i:1:d:10.1038_s41467-022-33478-4
    DOI: 10.1038/s41467-022-33478-4
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    References listed on IDEAS

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    1. Oded Zilberberg & Sheng Huang & Jonathan Guglielmon & Mohan Wang & Kevin P. Chen & Yaacov E. Kraus & Mikael C. Rechtsman, 2018. "Photonic topological boundary pumping as a probe of 4D quantum Hall physics," Nature, Nature, vol. 553(7686), pages 59-62, January.
    2. F. Grusdt & N. Y. Yao & D. Abanin & M. Fleischhauer & E. Demler, 2016. "Interferometric measurements of many-body topological invariants using mobile impurities," Nature Communications, Nature, vol. 7(1), pages 1-9, September.
    3. Marius Jürgensen & Sebabrata Mukherjee & Mikael C. Rechtsman, 2021. "Quantized nonlinear Thouless pumping," Nature, Nature, vol. 596(7870), pages 63-67, August.
    4. Kevin E. Strecker & Guthrie B. Partridge & Andrew G. Truscott & Randall G. Hulet, 2002. "Formation and propagation of matter-wave soliton trains," Nature, Nature, vol. 417(6885), pages 150-153, May.
    5. Inbar Hotzen Grinberg & Mao Lin & Cameron Harris & Wladimir A. Benalcazar & Christopher W. Peterson & Taylor L. Hughes & Gaurav Bahl, 2020. "Robust temporal pumping in a magneto-mechanical topological insulator," Nature Communications, Nature, vol. 11(1), pages 1-9, December.
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