Bulletin of the American Physical Society
APS March Meeting 2024
Monday–Friday, March 4–8, 2024; Minneapolis & Virtual
Session F17: Anyons in the Fractional Quantum Hall Effect
8:00 AM–10:48 AM,
Tuesday, March 5, 2024
Room: M100H
Sponsoring
Unit:
DCMP
Chair: Zezhu Wei, Brown University
Abstract: F17.00010 : Time-domain braiding of anyons*
9:48 AM–10:00 AM
Presenter:
Mélanie Ruelle
(PSL University)
Authors:
Mélanie Ruelle
(PSL University)
Elric Frigerio
(PSL University)
Emmanuel Baudin
(PSL University)
Jean-Marc Berroir
(PSL University)
Bernard Placais
(PSL University)
Benoît Grémaud
(CPT Marseille)
Thibaut Jonckheere
(CPT Marseille)
Thierry Martin
(CPT Marseille)
Jérôme Rech
(CPT Marseille)
Antonella Cavanna
(C2N)
Ulf Gennser
(C2N)
Yong Jin
(C2N)
Gerbold Ménard
(PSL University)
Gwendal Fève
(PSL University)
We implement a Hong-Ou-Mandel (HOM) experiment between two artificial anyons at a quantum point contact (QPC) in a fractional quantum Hall fluid at filling factor nu=1/3. The incoming artificial anyons and the tunneling topological anyons braid at the QPC, thus effectively probing the role of anyon braiding on the characteristic timescale of anyon tunneling. We measure as proposed in [6] a HOM dip in the current noise at the outputs of the QPC, which width depends on the characteristic timescale for tunneling. By comparing integer and fractionally charged pulses, we observe that anyon dynamics is controlled by the scaling dimension, contrasting with the electron case where without braiding, the timescale for tunneling is set by the temporal width of the current pulses.
This experiment provides a new route for studying the role of braiding on the dynamics and temporal correlations of topological excitations. It also opens the way to a new generation of experiments where anyons are emitted on-demand in a circuit.
[1] H. Bartolomei et al., Science 368, 173 (2020)
[2] J. Nakamura et al., Nature Physics 16, 931 (2020)
[3] M. Ruelle et al., Phys. Rev. X 13, 011031 (2023)
[4] P. Glidic et al., Phys. Rev. X 13, 011030 (2023)
[5] J.-Y. M. Lee et al., Nature 617, 277 (2023)
[6] T. Jonckheere et al., Phys. Rev. Lett., 130, 186203 (2023)
[7] J.Y. Lee et al., Phys. Rev. Lett. 125, 196802 (2020)
[8] C. Mora, arXiv:2212.05123 (2022)
*This work has been supported by the ERC advanced grant "ASTEC", the ANR grant "ANY-HALL" (ANR-21-CE30-0064), and by the French RENATECH network.
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