Ground-State Analysis for an Exactly Solvable Coupled-Spin Hamiltonian
Exactly Solvable and Integrable Systems
2013-12-03 v4 Strongly Correlated Electrons
Mathematical Physics
math.MP
Abstract
We introduce a Hamiltonian for two interacting 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 pairing Hamiltonian.
Keywords
Cite
@article{arxiv.1206.3364,
title = {Ground-State Analysis for an Exactly Solvable Coupled-Spin Hamiltonian},
author = {Eduardo Mattei and Jon Links},
journal= {arXiv preprint arXiv:1206.3364},
year = {2013}
}