This thesis presents an introduction to the class of Richardson-Gaudin integrable models,
with special focus on the Bethe ansatz wave function, and investigates ways of applying the …

We study the exact Bethe Ansatz solution of the p+ ip Hamiltonian in a form whereby
quantum numbers of states refer to hole-pairs, rather than particle-pairs used in previous …

We study the Bethe ansatz/ordinary differential equation (BA/ODE) correspondence for
Bethe ansatz equations that belong to a certain class of coupled, nonlinear, algebraic …

Abstract Starting from integrable su (2)(quasi-) spin Richardson–Gaudin (RG) XXZ models
we derive several properties of integrable spin models coupled to a bosonic mode. We focus …

Exact solution of the nuclear mean-field plus separable pairing model is reexamined. New
auxiliary constraints for solving the Bethe ansatz equations of the model are proposed. By …

It is shown in a recent preprint (arXiv: 2001.10008) that the central spin model with XX-type
qubit-bath coupling is integrable for a central spin s 0= 1/2. Two types of eigenstates …

We introduce an integrable Hamiltonian which is an extended d+ id-wave pairing model.
The integrability is deduced from a duality relation with the Richardson–Gaudin (s-wave) …

Using an operator approach based on a commutator scheme that has been previously
applied to Richardson's reduced BCS model and the inhomogeneous Dicke model, we …

We analyze a family of two-dimensional BCS Hamiltonians with general l-wave pairing
interactions, classifying the models in this family that are Bethe-ansatz solvable in the finite …

We demonstrate a novel approach that allows the determination of very general classes of
exactly solvable Hamiltonians via Bethe ansatz methods. This approach combines aspects …