[图书][B] Algebraic Bethe ansatz and correlation functions: an advanced course
N Slavnov - 2022 - World Scientific
This chapter describes a general scheme for constructing quantum integrable models within
the Quantum Inverse Scattering Method (QISM) framework. Much of what is described here …
the Quantum Inverse Scattering Method (QISM) framework. Much of what is described here …
Why scalar products in the algebraic Bethe ansatz have determinant representation
S Belliard, NA Slavnov - Journal of High Energy Physics, 2019 - Springer
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 …
algebralic Bethe ansatz solvable models satisfy a system of linear equations. We find …
[HTML][HTML] Diagonalization of the Heun-Askey-Wilson operator, Leonard pairs and the algebraic Bethe ansatz
P Baseilhac, RA Pimenta - Nuclear Physics B, 2019 - Elsevier
Abstract An operator of Heun-Askey-Wilson type is diagonalized within the framework of the
algebraic Bethe ansatz using the theory of Leonard pairs. For different specializations and …
algebraic Bethe ansatz using the theory of Leonard pairs. For different specializations and …
Modified rational six vertex model on the rectangular lattice
We consider a rational six vertex model on a rectangular lattice with boundary conditions
that generalize the usual domain wall type. We find that the partition function of the …
that generalize the usual domain wall type. We find that the partition function of the …
Scalar products of Bethe vectors in the 8-vertex model
A bstract We obtain a determinant representation of normalized scalar products of on-shell
and off-shell Bethe vectors in the inhomogeneous 8-vertex model. We consider the case of …
and off-shell Bethe vectors in the inhomogeneous 8-vertex model. We consider the case of …
Correlation functions by separation of variables: the XXX spin chain
We explain how to compute correlation functions at zero temperature within the framework of
the quantum version of the Separation of Variables (SoV) in the case of a simple model: the …
the quantum version of the Separation of Variables (SoV) in the case of a simple model: the …
Algebraic Bethe ansatz for the XXZ Gaudin models with generic boundary
N Crampe - SIGMA. Symmetry, Integrability and Geometry: Methods …, 2017 - emis.de
We solve the XXZ Gaudin model with generic boundary using the modified algebraic Bethe
ansatz. The diagonal and triangular cases have been recovered in this general framework …
ansatz. The diagonal and triangular cases have been recovered in this general framework …
On correlation functions for the open XXZ chain with non-longitudinal boundary fields: The case with a constraint
This paper is a continuation of [J. Phys. A: Math. Theor. 55, 405203 (2022)], in which a set of
matrix elements of local operators was computed for the XXZ spin-1/2 open chain with a …
matrix elements of local operators was computed for the XXZ spin-1/2 open chain with a …
Modified algebraic Bethe ansatz: twisted XXX case
S Belliard, NA Slavnov, B Vallet - SIGMA. Symmetry, Integrability and …, 2018 - emis.de
We prove the modified algebraic Bethe Ansatz characterization of the spectral problem for
the closed XXX Heisenberg spin chain with an arbitrary twist and arbitrary positive (half) …
the closed XXX Heisenberg spin chain with an arbitrary twist and arbitrary positive (half) …
Scalar product for the XXZ spin chain with general integrable boundaries
S Belliard, RA Pimenta… - Journal of Physics A …, 2021 - iopscience.iop.org
We calculate the scalar product of Bethe states of the XXZ spin-$\frac {1}{2} $ chain with
general integrable boundary conditions. The off-shell equations satisfied by the transfer …
general integrable boundary conditions. The off-shell equations satisfied by the transfer …