具有开放边界条件的 C2(1) 量子自旋链的精确解

IF 2.5 3区物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS

Nuclear Physics B Pub Date : 2024-06-27 DOI:10.1016/j.nuclphysb.2024.116611

Guang-Liang Li , Junpeng Cao , Yi Qiao , Kun Hao , Wen-Li Yang

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引用次数: 0

摘要

本文研究了具有非对角线开放边界条件的 C2(1) 不变量子自旋链的精确解。我们得到了反射方程的解，其中反射矩阵的所有矩阵元素都是非零。利用融合技术，我们构建了融合传递矩阵，并找到了传递矩阵之间的闭合递推关系。基于代数分析，我们得到了系统的特征值，并将其表示为非均质 T-Q 关系。

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Exact solution of the C2(1) quantum spin chain with open boundary condition

In this paper, we studied the exact solution of the $C_{2}^{(1)}$ invariant quantum spin chain with off-diagonal open boundary condition. We obtain a solution of the reflection equation where the all matrix element of reflection matrix are nonzeros. By using the technique of fusion, we construct the fused transfer matrix and find the closed recursive relations among the transfer matrices. Based on the algebraic analysis, we obtain the eigenvalue of the system and express it as the inhomogeneous $T - Q$ relation.

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来源期刊

Nuclear Physics B 物理-物理：粒子与场物理

CiteScore

5.50

自引率

7.10%

发文量

302

审稿时长

1 months

期刊介绍： Nuclear Physics B focuses on the domain of high energy physics, quantum field theory, statistical systems, and mathematical physics, and includes four main sections: high energy physics - phenomenology, high energy physics - theory, high energy physics - experiment, and quantum field theory, statistical systems, and mathematical physics. The emphasis is on original research papers (Frontiers Articles or Full Length Articles), but Review Articles are also welcome.