Integrable mixing of A(n-1)-type vertex models

S. GRILLO; H. MONTANI

JOURNAL OF MATHEMATICAL PHYSICS

American Institute of Physics

Lugar: Melville, New York; Año: 2004 vol. 45 p. 2073 - 2089

0022-2488

Given a couple of Yang-Baxter operators R^{m} and Rⁿ corresponding to integrable anisotropic vertex models of A_{m-1} and A_{n-1} type, respectively, we construct and study a class of related lattice models whose monodromy matrices alternate mentioned operators. We build up all eigenstates and eigenvalues of the transfer matrix by means of algebraic Bethe ansatz technics, where not only a vector but a pseudovacuum subspace is needed for the process of diagonalization. In terms of the associated alternated quantum spin chains, and supposing m≤n, we show Bethe states generated from a given pseudovacuum vector span the space of states corresponding to an A_{m-1} type spin chain. In other words, e.g. if m=2, alternated spin models can be decomposed into a family of non mutually interacting inhomogeneous XXZ models.