Bethe ansatz solution of the openXXspin chain with non-diagonal boundary terms

2001/10/09 by Rafael I. Nepomechie · 2 citations
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Nonlinear Waves and Solitons #hep-th #nlin.SI

paper · pdf · doi:10.1088/0305-4470/34/47/306

published as J.Phys.A34:9993-10004,2001 · 14 pages, LaTeX; amssymb, no figures

arxiv created 2001/10/09 · openalex publication_date 2001/11/21 · arxiv updated 2009/11/30 · openalex created_date 2017/07/14 · openalex updated_date 2026/07/30

Abstract

We consider the integrable open XX quantum spin chain with non-diagonal boundary terms. We derive an exact inversion identity, by which we obtain the eigenvalues of the transfer matrix and the Bethe ansatz equations. For generic values of the boundary parameters, the Bethe ansatz solution is formulated in terms of the Jacobian elliptic functions.

Citations

• Boundary conditions for integrable quantum systems
• Two soluble models of an antiferromagnetic chain

Cited by

• T–Q relation and exact solution for the XYZ chain with general non-diagonal boundary terms
• Solving the open XXZ spin chain with nondiagonal boundary terms at roots of unity