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	Berry phase and quantum entanglement in Majorana's stellar representation
	Liu, H. D. ; Fu, L. B.
刊名	PHYSICAL REVIEW A
	2016
关键词	DYNAMICS SPIN STATES GASES
DOI	10.1103/PhysRevA.94.022123
英文摘要	By presenting the evolution of a quantum state with the trajectories of the Majorana stars on the Bloch sphere, the Majorana's stellar provides an intuitive geometric picture to study a quantum system with high-dimensional Hilbert space. We study the Berry phase and quantum entanglement by distributions and motions of these stars on the Bloch sphere. It is shown that both of these unique characters of quantum state can be perfectly represented by the Majorana stars. The former is expressed by the solid angles of Majorana star loops and the distance between stars. For the latter, the distances between stars are also found to be a tool for measuring and classifying the multiparticle entanglement of a symmetric multiqubit pure state. To demonstrate our theory, we study a typical spin model which is equivalent to an interacting boson model or an interacting multiqubit system. The self-trapping phenomenon within is also discussed via the Majorana stars.; National Fundamental Research Program of China [2013CBA01502]; National Natural Science Foundation of China [11374040, 11575027, 11405008]; Fundamental Research Funds for the Central Universities [2412015KJ009]; Plan for Scientific and Technological Development of Jilin Province [20160520173JH]; SCI(E); EI; ARTICLE; lbfu@iapcm.ac.cn; 2; 94
语种	英语
内容类型	期刊论文
源URL	[http://ir.pku.edu.cn/handle/20.500.11897/491516]
专题	工学院
推荐引用方式 GB/T 7714	Liu, H. D.,Fu, L. B.. Berry phase and quantum entanglement in Majorana's stellar representation[J]. PHYSICAL REVIEW A,2016.
APA	Liu, H. D.,&Fu, L. B..(2016).Berry phase and quantum entanglement in Majorana's stellar representation.PHYSICAL REVIEW A.
MLA	Liu, H. D.,et al."Berry phase and quantum entanglement in Majorana's stellar representation".PHYSICAL REVIEW A (2016).

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