Quantification of Symmetry

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	Fang, YN; Dong, GH; Zhou, DL; Sun, CP; 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.
	Quantification of Symmetry
发表期刊	COMMUNICATIONS IN THEORETICAL PHYSICS
语种	英语
关键词	Symmetry Breaking Group Theory Degree Of Symmetry Duality
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.
	2016
卷号	65 期号:4 页码:423-433
学科领域	Physics
收录类别	SCI
项目资助者	National Natural Science Foundation of China [11421063, 11534002, 11475254] ; National Natural Science Foundation of China [11421063, 11534002, 11475254] ; National Natural Science Foundation of China [11421063, 11534002, 11475254] ; National Natural Science Foundation of China [11421063, 11534002, 11475254] ; National 973 Program [2014CB921403, 2012CB922104, 2014CB921202] ; National 973 Program [2014CB921403, 2012CB922104, 2014CB921202] ; National 973 Program [2014CB921403, 2012CB922104, 2014CB921202] ; National 973 Program [2014CB921403, 2012CB922104, 2014CB921202]
文献类型	期刊论文
条目标识符	http://ir.itp.ac.cn/handle/311006/21705
专题	理论物理所科研产出_SCI论文
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.
推荐引用方式 GB/T 7714	Fang, YN,Dong, GH,Zhou, DL,et al. Quantification of Symmetry[J]. COMMUNICATIONS IN THEORETICAL PHYSICS,2016,65(4):423-433.
APA	Fang, YN,Dong, GH,Zhou, DL,Sun, CP,Sun, CP ,&Sun, CP .(2016).Quantification of Symmetry.COMMUNICATIONS IN THEORETICAL PHYSICS,65(4),423-433.
MLA	Fang, YN,et al."Quantification of Symmetry".COMMUNICATIONS IN THEORETICAL PHYSICS 65.4(2016):423-433.

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