Bethe ansatz solution for quantum spin-1 chains with boundary terms

2001/10/31 by E. C. Fireman, E.C. Fireman, A. Lima-Santos +1 · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Bethe ansatz #Boundary (topology) #Boundary value problem #Chain (unit) #Integrable system #Quantum #Quantum Information and Cryptography #Quantum many-body systems #Quantum system #Spin (aerodynamics) #hep-th #nlin.SI

paper · pdf · doi:10.1016/s0550-3213(02)00027-5

published as Nucl.Phys.B626:435-462,2002 · 24 pages, LaTex, some misprints removed

openalex publication_date 2002/04/01 · arxiv created 2004/06/20 · arxiv updated 2014/11/18 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

The procedure for obtaining integrable open spin chain Hamiltonians via reflection matrices is explicitly carried out for some three-state vertex models. We have considered the 19-vertex models of Zamolodchikov-Fateev and Izergin-Korepin, and the Z₂-graded 19-vertex models with sl(2|1) and osp(1|2) invariances. In each case the eigenspectrum is determined by application of the coordinate Bethe Ansatz.

Citations

• The inverse scattering method approach to the quantum Shabat-Mikhailov model
• Integrable vertex and loop models on the square lattice with open boundaries via reflection matrices
• Boundary conditions for integrable quantum systems

Cited by

• Algebraic Bethe ansatz for the Zamolodchikov–Fateev and Izergin–Korepin models with open boundary conditions