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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
Source PublicationCOMMUNICATIONS IN THEORETICAL PHYSICS
Language英语
KeywordSymmetry Breaking Group Theory Degree Of Symmetry Duality
AbstractSymmetry 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
Volume65Issue:4Pages:423-433
Subject AreaPhysics
Indexed BySCI
Funding OrganizationNational 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]
Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/21705
Collection理论物理所科研产出_SCI论文
Corresponding AuthorSun, 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.
Recommended Citation
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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