BIMSA > BIMSA Integrable Systems Seminar Chiral coordinate Bethe ansatz for anisotropic spin chains
Chiral coordinate Bethe ansatz for anisotropic spin chains
Organizers
Nicolai Reshetikhin , Ivan Sechin , Andrey Tsiganov
Speaker
Xin Zhang
Time
Tuesday, December 17, 2024 4:00 PM - 5:00 PM
Venue
A6-101
Online
Zoom 873 9209 0711 (BIMSA)
Abstract
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.