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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.
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| Quantification of Symmetry | |
| Source Publication | COMMUNICATIONS IN THEORETICAL PHYSICS
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| Language | 英语 |
| Keyword | Symmetry Breaking Group Theory Degree Of Symmetry Duality |
| Abstract | 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 | |
| Volume | 65Issue:4Pages:423-433 |
| Subject Area | Physics |
| Indexed By | SCI |
| Funding Organization | 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] |
| Document Type | 期刊论文 |
| Identifier | http://ir.itp.ac.cn/handle/311006/21705 |
| Collection | SCI期刊论文 |
| Corresponding Author | 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. |
| 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. |
| Files in This Item: | ||||||
| File Name/Size | DocType | Version | Access | License | ||
| Quantification of Sy（626KB） | 开放获取 | -- | Application Full Text | |||
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