globalchange  > 气候变化与战略
DOI: 10.1016/j.scib.2021.04.027
论文题名:
Classification of topological phases in one dimensional interacting non-Hermitian systems and emergent unitarity
作者: Xi W.; Zhang Z.-H.; Gu Z.-C.; Chen W.-Q.
刊名: Science Bulletin
ISSN: 20959273
出版年: 2021
卷: 66, 期:17
起始页码: 1731
结束页码: 1739
语种: 英语
中文关键词: Non-Hermitian systems ; Strongly correlated systems ; Symmetry protected topological states ; Topological quantum field theory
英文关键词: Topology ; Fixed points ; Hermitians ; Non-hermitian system ; One-dimensional ; Partition functions ; Strongly correlated systems ; Symmetry protected topological state ; Topological phase ; Topological quantum field theory ; Unitarity ; Quantum theory
英文摘要: Topological phases in non-Hermitian systems have become fascinating subjects recently. In this paper, we attempt to classify topological phases in 1D interacting non-Hermitian systems. We begin with the non-Hermitian generalization of the Su-Schrieffer-Heeger (SSH) model and discuss its many-body topological Berry phase, which is well defined for all interacting quasi-Hermitian systems (non-Hermitian systems that have real energy spectrum). We then demonstrate that the classification of topological phases for quasi-Hermitian systems is exactly the same as their Hermitian counterparts. Finally, we construct the fixed point partition function for generic 1D interacting non-Hermitian local systems and find that the fixed point partition function still has a one-to-one correspondence to their Hermitian counterparts. Thus, we conclude that the classification of topological phases for generic 1D interacting non-Hermitian systems is still exactly the same as Hermitian systems. © 2021 Science China Press
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资源类型: 期刊论文
标识符: http://119.78.100.158/handle/2HF3EXSE/170447
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作者单位: Shenzhen Key Laboratory of Advanced Quantum Functional Materials and Devices, Southern University of Science and Technology, Shenzhen, 518055, China; Institute for Quantum Science and Engineering and Department of Physics, Southern University of Science and Technology, Shenzhen, 518055, China; School of Mathematical Sciences, University of Science and Technology of China, Hefei, 230026, China; Department of Physics, The Chinese Uinversity of Hong Kong, Hong Kong, Hong Kong

Recommended Citation:
Xi W.,Zhang Z.-H.,Gu Z.-C.,et al. Classification of topological phases in one dimensional interacting non-Hermitian systems and emergent unitarity[J]. Science Bulletin,2021-01-01,66(17)
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