109 citations · 832 across the 26 of their papers we have counts for
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"Bethe-Ansatz-free" eigenstates of spin-1/2 Richardson-Gaudin integrable models
Alexandre Faribault, Claude Dimo
In this work we construct the eigenstates of the most general spin-1/2 Richardson-Gaudin model integrable in an external magnetic field. This includes the possibility for fully ani…
Integrable spin-1/2 Richardson-Gaudin XYZ models in an arbitrary magnetic field
Pieter W. Claeys, Claude Dimo, Stijn De Baerdemacker +1
We establish the most general class of spin-1/2 integrable Richardson-Gaudin models including an arbitrary magnetic field, returning a fully anisotropic (XYZ) model. The restrictio…
Quadratic operator relations and Bethe equations for spin-1/2 Richardson-Gaudin models
Claude Dimo, Alexandre Faribault
In this work we demonstrate how one can, in a generic approach, derive a set of simple quadratic Bethe equations for integrable Richardson-Gaudin (RG) models built out of s…
Ground state solutions of inhomogeneous Bethe equations
S. Belliard, A. Faribault
The distribution of Bethe roots, solution of the inhomogeneous Bethe equations, which characterize the ground state of the periodic XXX Heisenberg spin- chain is inves…
Common framework and quadratic Bethe equations for rational Gaudin magnets in arbitrarily oriented magnetic fields
Alexandre Faribault, Hugo Tschirhart
In this work we demonstrate a simple way to implement the quantum inverse scattering method to find eigenstates of spin-1/2 XXX Gaudin magnets in an arbitrarily oriented magnetic f…
Determinant representation of the domain-wall boundary condition partition function of a Richardson-Gaudin model containing one arbitrary spin
Alexandre Faribault, Hugo Tschirhart, Nicolas Muller
In this work we present a determinant expression for the domain-wall boundary condition partition function of rational (XXX) Richardson-Gaudin models which, in addition to sp…