https://scholars.lib.ntu.edu.tw/handle/123456789/606837
標題: | Detecting transition between Abelian and non-Abelian topological orders through symmetric tensor networks | 作者: | Chen Y.-H Huang C.-Y Kao Y.-J. YING-JER KAO |
關鍵字: | Topology; Transfer matrix method; Abelian phase; Continuous deformations; Correlation lengths; Entangled state; Projected entangled pair state; Symmetric tensors; Topological order; Transfer matrixes; Quantum entanglement | 公開日期: | 2021 | 卷: | 104 | 期: | 4 | 來源出版物: | Physical Review B | 摘要: | We propose a unified scheme to identify phase transitions out of the Abelian topological order, including the transition to a non-Abelian chiral spin liquid. Using loop gas and and string gas states. The star lattice Kitaev model as an example, we compute the overlap of minimally entangled states through transfer matrices. We demonstrate that, similar to the anyon condensation, continuous deformation of a -injective projected entangled-pair state (PEPS) also allows us to study the transition between Abelian and non-Abelian topological orders. We show that the charge and flux anyons defined in the Abelian phase transmute into the anyon in the non-Abelian topological order. Furthermore, we show that contrary to the claim in both the LG and SG states have infinite correlation length in the non-Abelian regime, consistent with the no-go theorem that a chiral PEPS has a gapless parent Hamiltonian. ?2021 American Physical Society |
URI: | https://www.scopus.com/inward/record.uri?eid=2-s2.0-85111321348&doi=10.1103%2fPhysRevB.104.045131&partnerID=40&md5=981b300caed79ef381409aaffaea71a5 https://scholars.lib.ntu.edu.tw/handle/123456789/606837 |
ISSN: | 24699950 | DOI: | 10.1103/PhysRevB.104.045131 |
顯示於: | 物理學系 |
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