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Topological vacuum bubbles by anyon braiding

Author

Listed:
  • Cheolhee Han

    (Korea Advanced Institute of Science and Technology)

  • Jinhong Park

    (Korea Advanced Institute of Science and Technology)

  • Yuval Gefen

    (Weizmann Institute of Science)

  • H.-S. Sim

    (Korea Advanced Institute of Science and Technology)

Abstract

According to a basic rule of fermionic and bosonic many-body physics, known as the linked cluster theorem, physical observables are not affected by vacuum bubbles, which represent virtual particles created from vacuum and self-annihilating without interacting with real particles. Here we show that this conventional knowledge must be revised for anyons, quasiparticles that obey fractional exchange statistics intermediate between fermions and bosons. We find that a certain class of vacuum bubbles of Abelian anyons does affect physical observables. They represent virtually excited anyons that wind around real anyonic excitations. These topological bubbles result in a temperature-dependent phase shift of Fabry–Perot interference patterns in the fractional quantum Hall regime accessible in current experiments, thus providing a tool for direct and unambiguous observation of elusive fractional statistics.

Suggested Citation

  • Cheolhee Han & Jinhong Park & Yuval Gefen & H.-S. Sim, 2016. "Topological vacuum bubbles by anyon braiding," Nature Communications, Nature, vol. 7(1), pages 1-6, September.
    • Handle: RePEc:nat:natcom:v:7:y:2016:i:1:d:10.1038_ncomms11131
    DOI: 10.1038/ncomms11131
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    Cited by:

    1. 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.
    2. P. Glidic & I. Petkovic & C. Piquard & A. Aassime & A. Cavanna & Y. Jin & U. Gennser & C. Mora & D. Kovrizhin & A. Anthore & F. Pierre, 2024. "Signature of anyonic statistics in the integer quantum Hall regime," Nature Communications, Nature, vol. 15(1), pages 1-8, December.
    3. Hwanchul Jung & Dongsung T. Park & Seokyeong Lee & Uhjin Kim & Chanuk Yang & Jehyun Kim & V. Umansky & Dohun Kim & H.-S. Sim & Yunchul Chung & Hyoungsoon Choi & Hyung Kook Choi, 2023. "Observation of electronic modes in open cavity resonator," Nature Communications, Nature, vol. 14(1), pages 1-8, December.
    4. June-Young M. Lee & H.-S. Sim, 2022. "Non-Abelian anyon collider," Nature Communications, Nature, vol. 13(1), pages 1-6, December.

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