%0 Journal Article
%T Ground-State Analysis for an Exactly Solvable Coupled-Spin Hamiltonian
%A Eduardo Mattei
%A Jon Links
%J Physics
%D 2012
%I arXiv
%R 10.3842/SIGMA.2013.076
%X We introduce a Hamiltonian for two interacting $su(2)$ spins. We use a mean-field analysis and exact Bethe ansatz results to investigate the ground-state properties of the system in the classical limit, defined as the limit of infinite spin (or highest weight). Complementary insights are provided through investigation of the energy gap, ground-state fidelity, and ground-state entanglement, which are numerically computed for particular parameter values. Despite the simplicity of the model, a rich array of ground-state features are uncovered. Finally, we discuss how this model may be seen as an analogue of the exactly solvable $p+ip$ pairing Hamiltonian.
%U http://arxiv.org/abs/1206.3364v4