IDEAS home Printed from https://ideas.repec.org/a/nat/natcom/v15y2024i1d10.1038_s41467-024-53741-0.html
   My bibliography  Save this article

Two-dimensional non-Abelian Thouless pump

Author

Listed:
  • Yi-Ke Sun

    (Jilin University)

  • Zhong-Lei Shan

    (Jilin University)

  • Zhen-Nan Tian

    (Jilin University)

  • Qi-Dai Chen

    (Jilin University)

  • Xu-Lin Zhang

    (Jilin University)

Abstract

Non-Abelian Thouless pumps are periodically driven systems designed by the non-Abelian holonomy principle, in which quantized transport of degenerate eigenstates emerges, exhibiting noncommutative features such that the outcome depends on the pumping sequence. The study of non-Abelian Thouless pump is currently restricted to 1D systems, while extending it to higher-dimensional systems will not only provide effective means to probe non-Abelian physics in high-dimensional topological systems, but also expand the dimension and type of associated non-Abelian geometric phase matrix for potential applications. Here, we propose the design and experimental realization of 2D non-Abelian Thouless pumps on a photonic chip with 2D photonic waveguide arrays, where degenerate photonic modes are topologically pumped simultaneously along two real-space directions. We reveal the associated non-Abelian group and experimentally demonstrate the non-Abelian feature by measuring the pumping sequence dependent output. The proposed 2D non-Abelian Thouless pump shows promising applications for robust optical interconnections and optical computing.

Suggested Citation

  • Yi-Ke Sun & Zhong-Lei Shan & Zhen-Nan Tian & Qi-Dai Chen & Xu-Lin Zhang, 2024. "Two-dimensional non-Abelian Thouless pump," Nature Communications, Nature, vol. 15(1), pages 1-8, December.
  • Handle: RePEc:nat:natcom:v:15:y:2024:i:1:d:10.1038_s41467-024-53741-0
    DOI: 10.1038/s41467-024-53741-0
    as

    Download full text from publisher

    File URL: https://www.nature.com/articles/s41467-024-53741-0
    File Function: Abstract
    Download Restriction: no

    File URL: https://libkey.io/10.1038/s41467-024-53741-0?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. 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.
    2. Marius Jürgensen & Sebabrata Mukherjee & Mikael C. Rechtsman, 2021. "Quantized nonlinear Thouless pumping," Nature, Nature, vol. 596(7870), pages 63-67, August.
    3. Michael Lohse & Christian Schweizer & Hannah M. Price & Oded Zilberberg & Immanuel Bloch, 2018. "Exploring 4D quantum Hall physics with a 2D topological charge pump," Nature, Nature, vol. 553(7686), pages 55-58, January.
    4. Zlata Fedorova & Haixin Qiu & Stefan Linden & Johann Kroha, 2020. "Observation of topological transport quantization by dissipation in fast Thouless pumps," Nature Communications, Nature, vol. 11(1), pages 1-10, December.
    5. 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.
    6. Peng Wang & Qidong Fu & Ruihan Peng & Yaroslav V. Kartashov & Lluis Torner & Vladimir V. Konotop & Fangwei Ye, 2022. "Two-dimensional Thouless pumping of light in photonic moiré lattices," Nature Communications, Nature, vol. 13(1), pages 1-8, December.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Peng Wang & Qidong Fu & Ruihan Peng & Yaroslav V. Kartashov & Lluis Torner & Vladimir V. Konotop & Fangwei Ye, 2022. "Two-dimensional Thouless pumping of light in photonic moiré lattices," Nature Communications, Nature, vol. 13(1), pages 1-8, December.
    2. 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.
    3. Yaowen Hu & Mengjie Yu & Neil Sinclair & Di Zhu & Rebecca Cheng & Cheng Wang & Marko Lončar, 2022. "Mirror-induced reflection in the frequency domain," Nature Communications, Nature, vol. 13(1), pages 1-9, December.
    4. Weixuan Zhang & Fengxiao Di & Xingen Zheng & Houjun Sun & Xiangdong Zhang, 2023. "Hyperbolic band topology with non-trivial second Chern numbers," Nature Communications, Nature, vol. 14(1), pages 1-9, December.
    5. Weixuan Zhang & Hao Yuan & Na Sun & Houjun Sun & Xiangdong Zhang, 2022. "Observation of novel topological states in hyperbolic lattices," Nature Communications, Nature, vol. 13(1), pages 1-10, December.
    6. Bai, Xiaoqin & Bai, Juan & Malomed, Boris A. & Yang, Rongcao, 2024. "Spectrum conversion and pattern preservation of Airy beams in fractional systems with a dynamical harmonic-oscillator potential," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).
    7. Seyed Danial Hashemi & Sunil Mittal, 2024. "Floquet topological dissipative Kerr solitons and incommensurate frequency combs," Nature Communications, Nature, vol. 15(1), pages 1-9, December.
    8. Jin Ming Koh & Tommy Tai & Ching Hua Lee, 2024. "Realization of higher-order topological lattices on a quantum computer," Nature Communications, Nature, vol. 15(1), pages 1-14, December.
    9. Liu, Xiuye & Zeng, Jianhua, 2023. "Matter-wave gap solitons and vortices of dense Bose–Einstein condensates in Moiré optical lattices," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    10. Zhao-Xian Chen & Yu-Gui Peng & Ze-Guo Chen & Yuan Liu & Peng Chen & Xue-Feng Zhu & Yan-Qing Lu, 2024. "Robust temporal adiabatic passage with perfect frequency conversion between detuned acoustic cavities," Nature Communications, Nature, vol. 15(1), pages 1-9, December.
    11. Petrov, Miroslav S. & Todorov, Todor D., 2021. "Properties of the multidimensional finite elements," Applied Mathematics and Computation, Elsevier, vol. 391(C).
    12. 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.
    13. Wang, Qing & Zhou, Liangliang & Zhu, Junying & He, Jun-Rong, 2024. "Multi-vortex beams in nonlinear media with harmonic potential wells," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).
    14. Pawel S. Jung & Georgios G. Pyrialakos & Fan O. Wu & Midya Parto & Mercedeh Khajavikhan & Wieslaw Krolikowski & Demetrios N. Christodoulides, 2022. "Thermal control of the topological edge flow in nonlinear photonic lattices," Nature Communications, Nature, vol. 13(1), pages 1-7, December.
    15. Lizhen Lu & Kun Ding & Emanuele Galiffi & Xikui Ma & Tianyu Dong & J. B. Pendry, 2021. "Revealing topology with transformation optics," Nature Communications, Nature, vol. 12(1), pages 1-7, December.
    16. Chen, Zhiming & Wu, Zexing & Zeng, Jianhua, 2023. "Light gap bullets in defocusing media with optical lattices," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:nat:natcom:v:15:y:2024:i:1:d:10.1038_s41467-024-53741-0. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.nature.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.