Entanglement spectrum of non-Abelian anyons

• 作者: Ying-Hai Wu
• 来源期刊: 中国物理B（英文版）
• 年，卷（期）: 2022,（3）
• 所属期刊栏目: CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES
• 页码范围: 562-568
• 页数: 7页
• 语种: 英文
• DOI: 10.1088/1674-1056/ac280d

摘要

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.