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http://hdl.handle.net/2445/183346
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DC Field | Value | Language |
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dc.contributor.author | Baldelli, Niccolo | - |
dc.contributor.author | Juliá-Díaz, Bruno | - |
dc.contributor.author | Bhattacharya, Utso | - |
dc.contributor.author | Lewenstein, Maciej | - |
dc.contributor.author | Grass, Tobias | - |
dc.date.accessioned | 2022-02-21T15:27:30Z | - |
dc.date.available | 2022-02-21T15:27:30Z | - |
dc.date.issued | 2021-07-16 | - |
dc.identifier.issn | 2469-9950 | - |
dc.identifier.uri | http://hdl.handle.net/2445/183346 | - |
dc.description.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. | - |
dc.format.extent | 11 p. | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | - |
dc.publisher | American Physical Society | - |
dc.relation.isformatof | Reproducció del document publicat a: https://doi.org/10.1103/PhysRevB.104.035133 | - |
dc.relation.ispartof | Physical Review B, 2021, vol. 104, num. 3, p. 1-11 | - |
dc.relation.uri | https://doi.org/10.1103/PhysRevB.104.035133 | - |
dc.rights | (c) American Physical Society, 2021 | - |
dc.source | Articles publicats en revistes (Física Quàntica i Astrofísica) | - |
dc.subject.classification | Ordinadors quàntics | - |
dc.subject.classification | Anions | - |
dc.subject.classification | Topologia | - |
dc.subject.other | Quantum computers | - |
dc.subject.other | Anions | - |
dc.subject.other | Topology | - |
dc.title | Tracing non-Abelian anyons via impurity particles | - |
dc.type | info:eu-repo/semantics/article | - |
dc.type | info:eu-repo/semantics/publishedVersion | - |
dc.identifier.idgrec | 714130 | - |
dc.date.updated | 2022-02-21T15:27:30Z | - |
dc.relation.projectID | info:eu-repo/grantAgreement/EC/H2020/899794/EU//OPTOlogic | - |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | - |
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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714130.pdf | 661.71 kB | Adobe PDF | View/Open |
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