论文标题
在可整合旋转链中的精确重叠上
On exact overlaps in integrable spin chains
论文作者
论文摘要
我们开发了一种新方法，以计算可集成边界状态和壳内状态之间的确切重叠，以进行整合的旋转链。我们的方法基于坐标bethe ansatz，不依赖相应晶格模型的“旋转技巧”。在许多情况下，它导致了严格的分解重叠公式的严格证明，其中一些情况无法访问早期方法。作为具体的示例，我们考虑了紧凑的XXX和XXZ Heisenberg旋转链，以及非紧凑型$ SL（2，\ Mathbb {r}）$ spin链。
We develop a new method to compute the exact overlaps between integrable boundary states and on-shell Bethe states for integrable spin chains. Our method is based on the coordinate Bethe Ansatz and does not rely on the "rotation trick" of the corresponding lattice model. It leads to a rigorous proof of the factorized overlap formulas in a number of cases, some of which were inaccessible to earlier methods. As concrete examples, we consider the compact XXX and XXZ Heisenberg spin chains, and the non-compact $SL(2,\mathbb{R})$ spin chain.
