We review two important non-perturbative approaches for extracting the physics of low-
dimensional strongly correlated quantum systems. Firstly, we start by providing a …

We propose a generalization of the algebraic Bethe ansatz to obtain the eigenvectors of the
Heisenberg spin chain with general boundaries associated to the eigenvalues and the …

A bstract We conjecture a new way to construct eigenstates of integrable XXX quantum spin
chains with SU (N) symmetry. The states are built by repeatedly acting on the vacuum with a …

A bstract In this paper we take further steps towards developing the separation of variables
program for integrable spin chains with\(\mathfrak {gl}(N)\) symmetry. By finding, for the first …

A bstract We show that the scalar products of on-shell and off-shell Bethe vectors in the
algebralic Bethe ansatz solvable models satisfy a system of linear equations. We find …

Abstract We study GL (3)-invariant integrable models solvable by the nested algebraic Bethe
ansatz. Different formulas are given for the Bethe vectors and the actions of the generators of …

We give a detailed description of the nested algebraic Bethe ansatz. We consider integrable
models with a $\mathfrak {gl} _3 $-invariant $ R $-matrix as the basic example, however, we …

This article, based on the author's PhD thesis, reviews recent advancements in the field of
quantum integrability, in particular the separation of variables (SoV) program for high-rank …

Abstract We study SU (3)-invariant integrable models solvable by a nested algebraic Bethe
ansatz. We obtain determinant representations for form factors of diagonal entries of the …

Using the framework of the quantum separation of variables (SoV) for higher rank quantum
integrable lattice models [1], we introduce some foundations to go beyond the obtained …