IDEAS home Printed from https://ideas.repec.org/a/nat/natcom/v13y2022i1d10.1038_s41467-022-29895-0.html
   My bibliography  Save this article

Observation of Bloch oscillations dominated by effective anyonic particle statistics

Author

Listed:
  • Weixuan Zhang

    (Beijing Key Laboratory of Nanophotonics & Ultrafine Optoelectronic Systems, School of Physics, Beijing Institute of Technology)

  • Hao Yuan

    (Beijing Key Laboratory of Nanophotonics & Ultrafine Optoelectronic Systems, School of Physics, Beijing Institute of Technology)

  • Haiteng Wang

    (Beijing Key Laboratory of Nanophotonics & Ultrafine Optoelectronic Systems, School of Physics, Beijing Institute of Technology)

  • Fengxiao Di

    (Beijing Key Laboratory of Nanophotonics & Ultrafine Optoelectronic Systems, School of Physics, Beijing Institute of Technology)

  • Na Sun

    (Beijing Key Laboratory of Nanophotonics & Ultrafine Optoelectronic Systems, School of Physics, Beijing Institute of Technology)

  • Xingen Zheng

    (Beijing Key Laboratory of Nanophotonics & Ultrafine Optoelectronic Systems, School of Physics, Beijing Institute of Technology)

  • Houjun Sun

    (School of Information and Electronics, Beijing Institute of Technology)

  • Xiangdong Zhang

    (Beijing Key Laboratory of Nanophotonics & Ultrafine Optoelectronic Systems, School of Physics, Beijing Institute of Technology)

Abstract

Bloch oscillations are exotic phenomena describing the periodic motion of a wave packet subjected to an external force in a lattice, where a system possessing single or multiple particles could exhibit distinct oscillation behaviors. In particular, it has been pointed out that quantum statistics could dramatically affect the Bloch oscillation even in the absence of particle interactions, where the oscillation frequency of two pseudofermions with an anyonic statistical angle of $${{{\boldsymbol{\pi }}}}$$ π becomes half of that for two bosons. However, these statistically dependent Bloch oscillations have never been observed in experiments until now. Here, we report the experimental simulation of anyonic Bloch oscillations using electric circuits. By mapping the eigenstates of two anyons to the modes of the designed circuit simulators, the Bloch oscillations of two bosons and two pseudofermions are verified by measuring the voltage dynamics. The oscillation period in the two-boson simulator is almost twice of that in the two-pseudofermion simulator, that is consistent with the theoretical prediction. Our proposal provides a flexible platform to investigate and visualize many interesting phenomena related to particle statistics and could have potential applications in the field of the signal control.

Suggested Citation

  • Weixuan Zhang & Hao Yuan & Haiteng Wang & Fengxiao Di & Na Sun & Xingen Zheng & Houjun Sun & Xiangdong Zhang, 2022. "Observation of Bloch oscillations dominated by effective anyonic particle statistics," Nature Communications, Nature, vol. 13(1), pages 1-8, December.
    • Handle: RePEc:nat:natcom:v:13:y:2022:i:1:d:10.1038_s41467-022-29895-0
    DOI: 10.1038/s41467-022-29895-0
    as

    Download full text from publisher

    File URL: https://www.nature.com/articles/s41467-022-29895-0
    File Function: Abstract
    Download Restriction: no
    File URL: https://libkey.io/10.1038/s41467-022-29895-0?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. You Wang & Hannah M. Price & Baile Zhang & Y. D. Chong, 2020. "Circuit implementation of a four-dimensional topological insulator," Nature Communications, Nature, vol. 11(1), pages 1-7, December.
    2. Ye-Long Xu & William S. Fegadolli & Lin Gan & Ming-Hui Lu & Xiao-Ping Liu & Zhi-Yuan Li & Axel Scherer & Yan-Feng Chen, 2016. "Experimental realization of Bloch oscillations in a parity-time synthetic silicon photonic lattice," Nature Communications, Nature, vol. 7(1), pages 1-6, September.
    3. B. Bauer & L. Cincio & B.P. Keller & M. Dolfi & G. Vidal & S. Trebst & A.W.W. Ludwig, 2014. "Chiral spin liquid and emergent anyons in a Kagome lattice Mott insulator," Nature Communications, Nature, vol. 5(1), pages 1-8, December.
    4. A. Block & C. Etrich & T. Limboeck & F. Bleckmann & E. Soergel & C. Rockstuhl & S. Linden, 2014. "Bloch oscillations in plasmonic waveguide arrays," Nature Communications, Nature, vol. 5(1), pages 1-5, September.
    5. Tassilo Keilmann & Simon Lanzmich & Ian McCulloch & Marco Roncaglia, 2011. "Statistically induced phase transitions and anyons in 1D optical lattices," Nature Communications, Nature, vol. 2(1), pages 1-7, September.
    6. Mark Kremer & Ioannis Petrides & Eric Meyer & Matthias Heinrich & Oded Zilberberg & Alexander Szameit, 2020. "Publisher Correction: A square-root topological insulator with non-quantized indices realized with photonic Aharonov–Bohm cages," Nature Communications, Nature, vol. 11(1), pages 1-2, December.
    7. Giacomo Corrielli & Andrea Crespi & Giuseppe Della Valle & Stefano Longhi & Roberto Osellame, 2013. "Fractional Bloch oscillations in photonic lattices," Nature Communications, Nature, vol. 4(1), pages 1-6, June.
    8. Nikita A. Olekhno & Egor I. Kretov & Andrei A. Stepanenko & Polina A. Ivanova & Vitaly V. Yaroshenko & Ekaterina M. Puhtina & Dmitry S. Filonov & Barbara Cappello & Ladislau Matekovits & Maxim A. Gorl, 2020. "Topological edge states of interacting photon pairs emulated in a topolectrical circuit," Nature Communications, Nature, vol. 11(1), pages 1-8, December.
    9. Mark Kremer & Ioannis Petrides & Eric Meyer & Matthias Heinrich & Oded Zilberberg & Alexander Szameit, 2020. "A square-root topological insulator with non-quantized indices realized with photonic Aharonov-Bohm cages," Nature Communications, Nature, vol. 11(1), pages 1-6, December.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. 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.

    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. Lingling Song & Huanhuan Yang & Yunshan Cao & Peng Yan, 2022. "Square-root higher-order Weyl semimetals," Nature Communications, Nature, vol. 13(1), pages 1-7, December.
    2. Wright, E.A.P. & Yoon, S. & Mendes, J.F.F. & Goltsev, A.V., 2021. "Topological phase transition in the periodically forced Kuramoto model," Chaos, Solitons & Fractals, Elsevier, vol. 145(C).
    3. Ren, Boquan & Kartashov, Yaroslav V. & Wang, Hongguang & Li, Yongdong & Zhang, Yiqi, 2023. "Floquet topological insulators with hybrid edges," Chaos, Solitons & Fractals, Elsevier, vol. 166(C).
    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. Deyuan Zou & Tian Chen & Wenjing He & Jiacheng Bao & Ching Hua Lee & Houjun Sun & Xiangdong Zhang, 2021. "Observation of hybrid higher-order skin-topological effect in non-Hermitian topolectrical circuits," Nature Communications, Nature, vol. 12(1), pages 1-11, December.
    6. Shulin Wang & Chengzhi Qin & Weiwei Liu & Bing Wang & Feng Zhou & Han Ye & Lange Zhao & Jianji Dong & Xinliang Zhang & Stefano Longhi & Peixiang Lu, 2022. "High-order dynamic localization and tunable temporal cloaking in ac-electric-field driven synthetic lattices," Nature Communications, Nature, vol. 13(1), pages 1-11, December.
    7. Biye Xie & Renwen Huang & Shiyin Jia & Zemeng Lin & Junzheng Hu & Yao Jiang & Shaojie Ma & Peng Zhan & Minghui Lu & Zhenlin Wang & Yanfeng Chen & Shuang Zhang, 2023. "Bulk-local-density-of-state correspondence in topological insulators," Nature Communications, Nature, vol. 14(1), pages 1-8, December.
    8. Vasiuta, Yanina & Rovenchak, Andrij, 2018. "Modeling free anyons at the bosonic and fermionic ends," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 918-927.
    9. 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.

    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:13:y:2022:i:1:d:10.1038_s41467-022-29895-0. 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.