Generalized Coordinate Bethe Ansatz for open spin chains with non-diagonal boundaries

TL;DR

This paper extends the Coordinate Bethe Ansatz to handle open spin chains with non-diagonal boundary conditions, demonstrated on XXX and XXZ models, enabling solutions for more complex boundary interactions.

Contribution

It introduces a generalized Coordinate Bethe Ansatz specifically designed for open spin chains with non-diagonal boundary matrices, broadening the scope of solvable models.

Findings

Successfully applied to XXX and XXZ chains

Provides a framework for non-diagonal boundary conditions

Builds on previous joint work with established results

Abstract

We introduce a generalization of the original Coordinate Bethe Ansatz that allows to treat the case of open spin chains with non-diagonal boundary matrices. We illustrate it on two cases: the XXX and XXZ chains. Short review on a joint work with N. Crampe (L2C) and D. Simon (LPMA), see arXiv:1009.4119, arXiv:1105.4119 and arXiv:1106.3264.