Dirac's Hamiltonian and Bogoliubov's Hamiltonian as representation of the braid group

	Dirac's Hamiltonian and Bogoliubov's Hamiltonian as representation of the braid group
	Hu T. T.; Ren H.; Xue K.
	2014
发表期刊	Quantum Information Processing
ISSN	ISBN/1570-0755
卷号	13 期号:2 页码:391-399
摘要	In this paper, it is shown that Dirac's Hamiltonian and Bogoliubov's Hamiltonian both can be braid group matrix representations which are new type of four-dimensional matrix representation of the braid group in comparison with the well-known type (Ge et al. in Int J Mod Phys A 6:3735, 1991; Ge et al. in J Phys A 24:2679, 1991; Ge and Xue in Phys Lett A 152:266, 1991; Ge et al. J Phys A 25:L807 1992) related to the usual spin models. The Dirac's Hamiltonian is for a free electron with mass m while the Bogoliubov's Hamiltonian is for quasiparticles in He-3-B with the same free energy and mass being m/2 which depends on the momentum p. And this type is known that the braid matrices are related to the anyon description for FQHE with nu = 1/2 (Nayak et al. in Rev Mod Phys 80, 2008; Slingerland and Bais in Nucl Phys B 612:229, 2001), this may mean that Dirac particle could be decomposed into anyons based on the braid group relation. We also get the Temperley-Lieb matrix representations corresponding to the braid group matrix representations and investigate the entanglement and Berry phase of the corresponding Dirac system.
收录类别	SCI
语种	英语
文献类型	期刊论文
条目标识符	http://ir.ciomp.ac.cn/handle/181722/43899
专题	中科院长春光机所知识产出
推荐引用方式 GB/T 7714	Hu T. T.,Ren H.,Xue K.. Dirac's Hamiltonian and Bogoliubov's Hamiltonian as representation of the braid group[J]. Quantum Information Processing,2014,13(2):391-399.
APA	Hu T. T.,Ren H.,&Xue K..(2014).Dirac's Hamiltonian and Bogoliubov's Hamiltonian as representation of the braid group.Quantum Information Processing,13(2),391-399.
MLA	Hu T. T.,et al."Dirac's Hamiltonian and Bogoliubov's Hamiltonian as representation of the braid group".Quantum Information Processing 13.2(2014):391-399.

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