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题名: Quantification of Symmetry
作者: Fang, YN ;  Dong, GH ;  Zhou, DL ;  Sun, CP
刊名: COMMUNICATIONS IN THEORETICAL PHYSICS
出版日期: 2016
卷号: 65, 期号:4, 页码:423-433
关键词: symmetry breaking ;  group theory ;  degree of symmetry ;  duality
学科分类: Physics
通讯作者: Sun, CP (reprint author), Beijing Computat Sci Res Ctr, Beijing 100084, Peoples R China. ;  Sun, CP (reprint author), Univ Sci & Technol China, Synerget Innovat Ctr Quantum Informat & Quantum P, Hefei 230026, Peoples R China.
文章类型: Article
英文摘要: Symmetry is conventionally described in a polarized manner that the system is either completely symmetric or completely asymmetric. Using group theoretical approach to overcome this dichotomous problem, we introduce the degree of symmetry (DoS) as a non-negative continuous number ranging from zero to unity. DoS is defined through an average of the fidelity deviations of Hamiltonian or quantum state over its transformation group G, and thus is computable by making use of the completeness relations of the irreducible representations of G. The monotonicity of DoS can effectively probe the extended group for accidental degeneracy while its multi-valued natures characterize some (spontaneous) symmetry breaking.
类目[WOS]: Physics, Multidisciplinary
关键词[WOS]: ASYMMETRY ;  BREAKING
收录类别: SCI
项目资助者: National Natural Science Foundation of China [11421063, 11534002, 11475254] ;  National 973 Program [2014CB921403, 2012CB922104, 2014CB921202]
语种: 英语
内容类型: 期刊论文
URI标识: http://ir.itp.ac.cn/handle/311006/21705
Appears in Collections:理论物理所2016年知识产出_期刊论文

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Recommended Citation:
Fang, YN,Dong, GH,Zhou, DL,et al. Quantification of Symmetry[J]. COMMUNICATIONS IN THEORETICAL PHYSICS,2016,65(4):423-433.
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