Topological basis realization for BMW algebra and Heisenberg XXZ spin chain model

被引：0

作者：

Liu, Bo ^{[1
]}

Xue, Kang ^{[1
]}

Wang, Gangcheng ^{[1
]}

Liu, Ying ^{[1
]}

Sun, Chunfang ^{[1
]}

机构：

[1] NE Normal Univ, Sch Phys, Changchun 130024, Peoples R China

来源：

INTERNATIONAL JOURNAL OF QUANTUM INFORMATION | 2015年 / 13卷 / 03期

关键词：

Birman-Murakami-Wenzl algebra; topological basis; Heisenberg XXZ model; knot theory; DELTA-FUNCTION INTERACTION; YANG-BAXTER EQUATION; BODY PROBLEM; BRAID GROUP; QUANTUM; BAXTERIZATION; REPRESENTATION; MATRIX;

D O I：

10.1142/S0219749915500173

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper, we study three-dimensional (3D) reduced Birman-Murakami-Wenzl (BMW) algebra based on topological basis theory. Several examples of BMW algebra representations are reviewed. We also discuss a special solution of BMW algebra, which can be used to construct Heisenberg XXZ model. The theory of topological basis provides a useful method to solve quantum spin chain models. It is also shown that the ground state of XXZ spin chain is superposition state of topological basis.

引用

页数：8

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