2006/09/30 by Rajan Murgan
Computer Science · Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Bethe ansatz #Boundary (topology) #Boundary value problem #Chain (unit) #Eigenvalues and eigenvectors #Generalization #Integrable system #Quantum Information and Cryptography #Quantum many-body systems #Transfer matrix #hep-th
paper · pdf · doi:10.1007/s10582-006-0431-9
published in Czechoslovak Journal of Physics 56(10-11), 1237-1242 (Springer Science+Business Media) · 6 pages, Latex; contribution to the XVth International Colloquium on Integrable Systems and Quantum Symmetries, Prague, June 2006. To appear in Czechoslovak Journal of Physics (2006); (v2) Typos corrected and a new line added in the Acknowledgments section
openalex publication_date 2006/10/01 · arxiv created 2006/12/19 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We review recent results on the Bethe Ansatz solutions for the eigenvalues of the transfer matrix of an integrable open XXZ quantum spin chain using functional relations which the transfer matrix obeys at roots of unity. First, we consider a case where at most two of the boundary parameters α-,α+,β-,β+ are nonzero. A generalization of the Baxter T-Q equation that involves more than one independent Q is described. We use this solution to compute the boundary energy of the chain in the thermodynamic limit. We conclude the paper with a review of some results for the general integrable boundary terms, where all six boundary parameters are arbitrary.