Chiral coordinate Bethe ansatz for anisotropic spin chains
Xin Zhang (Institute of Physics, Chinese Academy of Sciences)
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.
mathematical physicsdynamical systemsquantum algebrarepresentation theorysymplectic geometry
Audience: general audience
BIMSA Integrable Systems Seminar
Series comments: The aim is to bring together experts in integrable systems and related areas of theoretical and mathematical physics and mathematics. There will be research presentations and overview talks.
Audience: Graduate students and researchers interested in integrable systems and related mathematical structures, such as symplectic and Poisson geometry and representation theory.
The zoom link will be distributed by mail, so please join the mailing list if you are interested in attending the seminar.
| Organizers: | NiŃolai Reshetikhin, Andrii Liashyk, Ivan Sechin, Andrey Tsiganov* |
| *contact for this listing |