论文标题
XXX Spin-1/2自旋链中的横盖状态
Crosscap states in the XXX spin-1/2 spin chain
论文作者
论文摘要
我们考虑XXX Spin-1/2自旋链中的可集成边界状态。我们首先简要审查旋转链中的代数贝尔·安萨兹（Bethe Bethe Ansatz）以及可整合的边界状态。然后，描述和扩展了最近发现的一系列被称为交叉盖状态的综合状态。在这些状态下，每种自旋都与其抗旋转自旋纠缠在一起。我们提供了一个新颖的证明，证明了文献中已知的交叉盖状态的整合性，又是以前尚未研究过的。然后，我们使用代数Bethe Ansatz的机械来得出交叉盖状态和脱壳状态之间的重叠。
We consider integrable boundary states in the XXX spin-1/2 spin chain. We begin by briefly reviewing the algebraic Bethe Ansatz as well as integrable boundary states in spin chains. Then a recently discovered class of integrable states known as crosscap states is described and expanded. In these states each spin is entangled with its antipodal spin. We present a novel proof of the integrability of both a crosscap state that is known in the literature and one that has not previously been studied. We then use the machinery of the algebraic Bethe Ansatz to derive the overlaps between the crosscap states and off-shell Bethe states.
