论文标题
来自坐标bethe ansatz的Lieb-Liniger模型的确切重叠
Exact Overlaps in the Lieb-Liniger Model from Coordinate Bethe Ansatz
论文作者
论文摘要
在论文Arxiv：2002.12065中，作者开发了一种新方法，以计算可集成边界状态和可固定旋转链中的壳状状态之间的确切重叠公式。该方法利用了波动函数的坐标ANSATZ表示，离子重叠的奇异性特性。在本文中，我们使用这种新方法来得出Lieb-Liniger Bethe States和Bose-Einstein冷凝物（BEC）状态之间重叠的公式。作为一种简单的应用，这种方法，我们获得了Lieb-Liniger本征和具有配对结构的自由粒子状态之间的重叠。
In the paper arXiv:2002.12065, the authors developed a new method to compute the exact overlap formulas between integrable boundary states and on-shell Bethe states in integrable spin chains. This method utilizes the coordinate Bethe ansatz representation of wave functions and singularity property of the off-shell overlaps. In this paper, we use this new method to derive the formula for overlaps between the Lieb-Liniger Bethe states and the Bose-Einstein condensate (BEC) state. As a simple application this method, we obtained the overlaps between the Lieb-Liniger eigenstates and the free particle states with pair structure.
