Chiral coordinate Bethe ansatz for anisotropic spin chains
演讲者
Xin Zhang
时间
2024年12月17日 16:00 至 17:00
地点
A6-101
线上
Zoom 873 9209 0711
(BIMSA)
摘要
In this talk, I will introduce the chiral coordinate Bethe ansatz for anisotropic spin chains with periodic boundaries, including the XYZ, XY, and XX models. First, we construct a set of factorized chiral vectors with a fixed number of kinks, which form an invariant subspace of the Hilbert space. Next, we propose a modified coordinate Bethe ansatz method to solve the XYZ model, based on the action of the Hamiltonian on the chiral vectors. For the XY and XX models, we demonstrate that our Bethe ansatz yields all normalized eigenstates and the complete spectrum of the Hamiltonian. The differences between our approach and other methods are also discussed.