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http://hdl.handle.net/2445/183346
Title: | Tracing non-Abelian anyons via impurity particles |
Author: | Baldelli, Niccolo Juliá-Díaz, Bruno Bhattacharya, Utso Lewenstein, Maciej Grass, Tobias |
Keywords: | Ordinadors quàntics Anions Topologia Quantum computers Anions Topology |
Issue Date: | 16-Jul-2021 |
Publisher: | American Physical Society |
Abstract: | Non-Abelian excitations are an interesting feature of many fractional quantum Hall phases, including those phases described by the Moore-Read (or Pfaffian) wave function. However, the detection of the non-Abelian quasiparticles is challenging. Here, we consider a system described by the MooreRead wave function, and assume that impurity particles bind to its quasiholes. Then, the angular momentum of the impurities, reflected also by the impurity density, provides a useful witness of the physics of the non-Abelian excitations. By demanding that the impurities are constrained to the lowest Landau level, we are able to write down the corresponding many-body wave function describing both the Moore-Read liquid and the impurities. Through Monte Carlo sampling we determine the impurity angular momentum, and we show that it suggests a quantum-statistical parameter α = aν − b + P/2 for the quasiholes, where α ranges from 0 for bosons to 1 for fermions. A reasonable agreement with the Monte Carlo results is obtained for a = 1/4, b = 1/8 and P = 0, 1 depending on the parity of the particle number in the Moore-Read liquid. This parity-dependence of the angular momentum serves as an unambiguous demonstration of the non-Abelian nature of the excitations. In addition to the studies of excitations in the Moore-Read liquid, we also apply our scheme to Laughlin liquids, for which we focus on interacting bosonic impurities. With this, the impurities themselves form Laughlin states, which allows for a study of hierarchical fractional quantum Hall states. |
Note: | Reproducció del document publicat a: https://doi.org/10.1103/PhysRevB.104.035133 |
It is part of: | Physical Review B, 2021, vol. 104, num. 3, p. 1-11 |
URI: | http://hdl.handle.net/2445/183346 |
Related resource: | https://doi.org/10.1103/PhysRevB.104.035133 |
ISSN: | 2469-9950 |
Appears in Collections: | Articles publicats en revistes (Física Quàntica i Astrofísica) Articles publicats en revistes (Institut de Ciències del Cosmos (ICCUB)) Publicacions de projectes de recerca finançats per la UE |
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