Fusion Channels of Non-Abelian Anyons from Angular-Momentum and Density-Profile Measurements

Year: 2019

Authors: Macaluso E., Comparin T., Mazza L., Carusotto I.

Autors Affiliation: Univ Trento, BEC Ctr, CNR, INO, I-38123 Trento, Italy; Univ Trento, Dipartimento Fis, I-38123 Trento, Italy; Univ Paris Saclay, Univ Paris Sud, CNRS, LPTMS, F-91405 Orsay, France.

Abstract: We present a method to characterize non-Abelian anyons that is based only on static measurements and that does not rely on any form of interference. For geometries where the anyonic statistics can be revealed by rigid rotations of the anyons, we link this property to the angular momentum of the initial state. We test our method on the paradigmatic example of the Moore-Read state that is known to support excitations with non-Abelian statistics of Ising type. As an example, we reveal the presence of different fusion channels for two such excitations, a defining feature of non-Abelian anyons. This is obtained by measuring density-profile properties, like the mean square radius of the system or the depletion generated by the anyons. Our study paves the way to novel methods for characterizing non-Abelian anyons, both in the experimental and theoretical domains.

Journal/Review: PHYSICAL REVIEW LETTERS

Volume: 123 (26)      Pages from: 266801-1  to: 266801-7

More Information: This work was supported by the EU-FET Proactive grant AQuS, Grant No. 640800, and by the Autonomous Province of Trento, partially through the project “On silicon chip quantum optics for quantum computing and secure communications” (“SiQuro”). I. C. also thanks financial support from the European Union H2020-FETFLAG-2018-2020 grant “PhoQuS”, Grant No. 820392. Stimulating discussions with P. Bonderson, M. Fremling, M. O. Goerbig, V. Gurarie, C. Nayak, N. Regnault, M. Rizzi, S. H. Simon, J. K. Slingerland, and R. O. Umucalilar are warmly acknowledged.
KeyWords: PAIRED HALL STATE; QUANTUM HALL; EDGE EXCITATIONS; STATISTICS; FERMIONS; CHARGE
DOI: 10.1103/PhysRevLett.123.266801

Citations: 21
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