A representation basis for the quantum integrable spin chain associated with the su(3) algebra

doi:10.1007/JHEP05(2016)119

	A representation basis for the quantum integrable spin chain associated with the su(3) algebra
	Hao, Kun 1; Cao, Junpeng 2,3; Li, Guang-Liang 4; Yang, Wen-Li 1,5; Shi, Kangjie 1; Wang, Yupeng 2,3
刊名	JOURNAL OF HIGH ENERGY PHYSICS
	2016-05-20
页码	22
关键词	Bethe Ansatz Lattice Integrable Models
ISSN号	1029-8479
DOI	10.1007/JHEP05(2016)119
英文摘要	An orthogonal basis of the Hilbert space for the quantum spill chain associated with the su(3) algebra is introduced. Such kind of basis could be treated as a nested generalization of separation of variables (SoV) basis for high-rank quantum integrable models. It is found that all the monodromy-matrix elements acting on a basis vector take simple forms. With the help of the basis, we construct eigenstates of the su(3) inhomogeneous spin torus (the trigonometric su(3) spin chain with antiperiodic boundary condition) from its spectrum obtained via the off-diagonal Bethe Ansatz (ODBA). Based on small sites (i.e. N = 2) check, it is conjectured that the homogeneous limit of the eigenstates exists, which gives rise to the corresponding eigenstates of the homogenous model.
资助项目	National Natural Science Foundation of China[11375141] ; National Natural Science Foundation of China[11374334] ; National Natural Science Foundation of China[11434013] ; National Natural Science Foundation of China[11425522] ; National Natural Science Foundation of China[11547045] ; BCMIIS ; Strategic Priority Research Program of the Chinese Academy of Sciences
WOS关键词	NONDIAGONAL BOUNDARY TERMS ; BETHE-ANSATZ SOLUTION ; XXZ CHAIN ; DIFFERENCE-EQUATIONS ; 8-VERTEX MODEL ; 6-VERTEX MODEL ; SEPARATION ; VARIABLES ; GENERATORS ; FIELDS
WOS研究方向	Physics
语种	英语
出版者	SPRINGER
WOS记录号	WOS:000376691700002
资助机构	National Natural Science Foundation of China ; BCMIIS ; Strategic Priority Research Program of the Chinese Academy of Sciences
内容类型	期刊论文
源URL	[http://119.78.100.186/handle/113462/46917]
专题	中国科学院近代物理研究所
通讯作者	Wang, Yupeng
作者单位	1.NW Univ Xian, Inst Modern Phys, Xian 710069, Peoples R China 2.Chinese Acad Sci, Inst Phys, Beijing Natl Lab Condensed Matter Phys, Beijing 100190, Peoples R China 3.Collaborat Innovat Ctr Quantum Matter, Beijing, Peoples R China 4.Xi An Jiao Tong Univ, Dept Appl Phys, Xian 710049, Peoples R China 5.Beijing Ctr Math & Informat Interdisciplinary Sci, Beijing 100048, Peoples R China
推荐引用方式 GB/T 7714	Hao, Kun,Cao, Junpeng,Li, Guang-Liang,et al. A representation basis for the quantum integrable spin chain associated with the su(3) algebra[J]. JOURNAL OF HIGH ENERGY PHYSICS,2016:22.
APA	Hao, Kun,Cao, Junpeng,Li, Guang-Liang,Yang, Wen-Li,Shi, Kangjie,&Wang, Yupeng.(2016).A representation basis for the quantum integrable spin chain associated with the su(3) algebra.JOURNAL OF HIGH ENERGY PHYSICS,22.
MLA	Hao, Kun,et al."A representation basis for the quantum integrable spin chain associated with the su(3) algebra".JOURNAL OF HIGH ENERGY PHYSICS (2016):22.