148 citations · 668 across the 22 of their papers we have counts for
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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…
The Birkhoff theorem for unitary matrices of arbitrary dimensions
Stijn De Baerdemacker, Alexis De Vos, Lin Chen +1
It was shown recently that Birkhoff's theorem for doubly stochastic matrices can be extended to unitary matrices with equal line sums whenever the dimension of the matrices is prim…
The Birkhoff theorem for unitary matrices of prime dimension
Alexis De Vos, Stijn De Baerdemacker
The Birkhoff's theorem states that any doubly stochastic matrix lies inside a convex polytope with the permutation matrices at the corners. It can be proven that a similar theorem…
Eigenvalue-based determinants for scalar products and form factors in Richardson-Gaudin integrable models coupled to a bosonic mode
Pieter W. Claeys, Stijn De Baerdemacker, Mario Van Raemdonck +1
Starting from integrable (quasi-)spin Richardson-Gaudin XXZ models we derive several properties of integrable spin models coupled to a bosonic mode. We focus on the Dicke-J…
The Dicke model as the contraction limit of a pseudo-deformed Richardson-Gaudin model
Pieter W. Claeys, Stijn De Baerdemacker, Mario Van Raemdonck +1
The Dicke model is derived in the contraction limit of a pseudo-deformation of the quasispin algebra in the su(2)-based Richardson-Gaudin models. Likewise, the integrability of the…
Scaling a unitary matrix
Alexis De Vos, Stijn De Baerdemacker
The iterative method of Sinkhorn allows, starting from an arbitrary real matrix with non-negative entries, to find a so-called 'scaled matrix' which is doubly stochastic, i.e. a ma…