具有简并边界的开放XXZ链中的Bethe根构型与谱简并
Bethe-root configurations and spectral degeneracy in the open XXZ chain with degenerate boundaries
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中文总结 AI 辅助
本文研究具有简并开放边界的自旋-1/2 XXZ链的Bethe根构型结构，给出不同简并情形下物理解的分类与计数公式，解释了完全简并情形下谱简并的成因并讨论了对角极限情况。
中文摘要 AI 辅助
我们研究了具有简并开放边界的自旋-1/2 XXZ链中Bethe根构型的结构。在完全简并情形下，Bethe Ansatz方程的物理解分为三类；在部分简并情形下，分为两类，我们针对每类提出了物理解集合数目的计数公式。此外，我们观察到完全简并情形下存在谱简并，并表明该简并可由Bethe根中特定幻影弦的存在自然解释。还讨论了对角极限下的分类及由此产生的谱简并。
英文摘要
We investigate the structure of Bethe-root configurations in the spin-1/2 XXZ chain with degenerate open boundaries. The physical solutions of the Bethe Ansatz equations are classified into three types in the fully degenerate case and two types in the partially degenerate case, for which we propose counting formulas for the number of physical solution sets of each type. Furthermore, we observe spectral degeneracies in the fully degenerate case and show that they can be naturally explained by the presence of specific phantom strings in the Bethe roots. The classification and resulting spectral degeneracies in the diagonal limit are also discussed.
