| CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES |
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Entanglement spectrum of non-Abelian anyons |
| Ying-Hai Wu(吴英海)† |
| School of Physics and Wuhan National High Magnetic Field Center, Huazhong University of Science and Technology, Wuhan 430074, China |
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Abstract Non-Abelian anyons can emerge as fractionalized excitations in two-dimensional systems with topological order. One important example is the Moore—Read fractional quantum Hall state. Its quasihole states are zero-energy eigenstates of a parent Hamiltonian, but its quasiparticle states are not. Both of them can be modeled on an equal footing using the bipartite composite fermion method. We study the entanglement spectrum of the cases with two or four non-Abelian anyons. The counting of levels in the entanglement spectrum can be understood using the edge theory of the Moore—Read state, which reflects the topological order of the system. It is shown that the fusion results of two non-Abelian anyons is determined by their distributions in the bipartite construction.
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Received: 24 July 2021
Revised: 13 September 2021
Accepted manuscript online: 18 September 2021
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PACS:
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73.43.-f
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(Quantum Hall effects)
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71.10.Pm
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(Fermions in reduced dimensions (anyons, composite fermions, Luttinger liquid, etc.))
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03.65.Ud
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(Entanglement and quantum nonlocality)
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03.65.Vf
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(Phases: geometric; dynamic or topological)
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| Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11804107). The author thanks Hong-Hao Tu for helpful commments. |
Corresponding Authors:
Ying-Hai Wu
E-mail: yinghaiwu88@hust.edu.cn
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Cite this article:
Ying-Hai Wu(吴英海) Entanglement spectrum of non-Abelian anyons 2022 Chin. Phys. B 31 037302
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