Generalization of the matrix product ansatz for integrable chains

TL;DR

This paper introduces a comprehensive formulation of the matrix product ansatz applicable to a broad class of exactly solvable integrable chains on periodic lattices, extending previous specific cases.

Contribution

It generalizes the matrix product ansatz framework for integrable chains, broadening its applicability beyond earlier specific models.

Findings

Provides a unified formulation for integrable chains

Extends previous matrix product ansatz approaches

Facilitates analysis of periodic lattice models

Abstract

We present a general formulation of the matrix product ansatz for exactly integrable chains on periodic lattices. This new formulation extends the matrix product ansatz present on our previous articles (F. C. Alcaraz and M. J. Lazo J. Phys. A: Math. Gen. 37 (2004) L1-L7 and J. Phys. A: Math. Gen. 37 (2004) 4149-4182.)