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Two-particle time-domain interferometry in the fractional quantum Hall effect regime

Author

Listed:
  • I. Taktak

    (Université Paris-Saclay, CEA, CNRS, SPEC)

  • M. Kapfer

    (Université Paris-Saclay, CEA, CNRS, SPEC)

  • J. Nath

    (Université Paris-Saclay, CEA, CNRS, SPEC)

  • P. Roulleau

    (Université Paris-Saclay, CEA, CNRS, SPEC)

  • M. Acciai

    (Chalmers University of Technology)

  • J. Splettstoesser

    (Chalmers University of Technology)

  • I. Farrer

    (University of Sheffield)

  • D. A. Ritchie

    (University of Cambridge)

  • D. C. Glattli

    (Université Paris-Saclay, CEA, CNRS, SPEC)

Abstract

Quasi-particles are elementary excitations of condensed matter quantum phases. Demonstrating that they keep quantum coherence while propagating is a fundamental issue for their manipulation for quantum information tasks. Here, we consider anyons, the fractionally charged quasi-particles of the Fractional Quantum Hall Effect occurring in two-dimensional electronic conductors in high magnetic fields. They obey anyonic statistics, intermediate between fermionic and bosonic. Surprisingly, anyons show large quantum coherence when transmitted through the localized states of electronic Fabry-Pérot interferometers, but almost no quantum interference when transmitted via the propagating states of Mach-Zehnder interferometers. Here, using a novel interferometric approach, we demonstrate that anyons do keep quantum coherence while propagating. Performing two-particle time-domain interference measurements sensitive to the two-particle Hanbury Brown Twiss phase, we find 53 and 60% visibilities for anyons with charges e/5 and e/3. Our results give a positive message for the challenge of performing controlled quantum coherent braiding of anyons.

Suggested Citation

  • I. Taktak & M. Kapfer & J. Nath & P. Roulleau & M. Acciai & J. Splettstoesser & I. Farrer & D. A. Ritchie & D. C. Glattli, 2022. "Two-particle time-domain interferometry in the fractional quantum Hall effect regime," Nature Communications, Nature, vol. 13(1), pages 1-7, December.
    • Handle: RePEc:nat:natcom:v:13:y:2022:i:1:d:10.1038_s41467-022-33603-3
    DOI: 10.1038/s41467-022-33603-3
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    References listed on IDEAS

    as
    1. J. Dubois & T. Jullien & F. Portier & P. Roche & A. Cavanna & Y. Jin & W. Wegscheider & P. Roulleau & D. C. Glattli, 2013. "Minimal-excitation states for electron quantum optics using levitons," Nature, Nature, vol. 502(7473), pages 659-663, October.
    2. Yang Ji & Yunchul Chung & D. Sprinzak & M. Heiblum & D. Mahalu & Hadas Shtrikman, 2003. "An electronic Mach–Zehnder interferometer," Nature, Nature, vol. 422(6930), pages 415-418, March.
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