Modified rational six vertex model on the rectangular lattice

S Belliard, RA Pimenta, NA Slavnov - SciPost Physics, 2024 - scipost.org
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 …

On correlation functions for the open XXZ chain with non-longitudinal boundary fields: The case with a constraint

G Niccoli, V Terras - SciPost Physics, 2024 - scipost.org
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 …

On scalar products and form factors by Separation of Variables: the antiperiodic XXZ model

H Pei, V Terras - Journal of Physics A: Mathematical and …, 2021 - iopscience.iop.org
We consider the XXZ spin-1/2 Heisenberg chain with antiperiodic boundary conditions. The
inhomogeneous version of this model can be solved by separation of variables, and the …

Correlation functions for open XXZ spin 1/2 quantum chains with unparallel boundary magnetic fields

G Niccoli, V Terras - Journal of Physics A: Mathematical and …, 2022 - iopscience.iop.org
In this paper we continue our derivation of the correlation functions of open quantum spin
1/2 chains with unparallel magnetic fields on the edges; this time for the more involved case …

The q-Racah polynomials from scalar products of Bethe states

P Baseilhac, RA Pimenta - Journal of Physics A: Mathematical …, 2023 - iopscience.iop.org
The q-Racah polynomials are expressed in terms of certain ratios of scalar products of Bethe
states associated with Bethe equations of either homogeneous or inhomogeneous type …

The open XYZ spin 1/2 chain: Separation of Variables and scalar products for boundary fields related by a constraint

G Niccoli, V Terras - arXiv preprint arXiv:2402.04112, 2024 - arxiv.org
We consider the open XYZ spin chain with boundary fields. We solve the model by the new
Separation of Variables approach introduced in arXiv: 1904.00852. In this framework, the …

[HTML][HTML] Rational so (3) Gaudin model with general boundary terms

N Manojlović, I Salom - Nuclear Physics B, 2022 - Elsevier
We study the so (3) Gaudin model with general boundary K-matrix in the framework of the
algebraic Bethe ansatz. The off-shell action of the generating function of the so (3) Gaudin …

[PDF][PDF] Exploration of the arctic curve phenomenon in lattice statistical models via the tangent method

B Debin - 2021 - dial.uclouvain.be
The intricacies of fundamental interactions between elementary particles or massive objects
are respectively understood within the framework of quantum physics (more specifically …