This article is cited in 1 paper

Ground-State Analysis for an Exactly Solvable Coupled-Spin Hamiltonian

Eduardo Mattei^a, Jon Links<sup>b

a</sup> Centro Brasileiro de Pesquisas Físicas, Rua Dr. Xavier Sigaud 150, Rio de Janeiro, Brazil
^b School of Mathematics and Physics, The University of Queensland, 4072, Australia

Abstract: We introduce a Hamiltonian for two interacting $\mathfrak{su}(2)$ 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.

Keywords: mean-field analysis; Bethe ansatz; quantum phase transition.

MSC: 81R05; 17B80; 81R12

Received: July 23, 2013; in final form November 22, 2013; Published online November 30, 2013

Language: English

DOI: 10.3842/SIGMA.2013.076

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ArXiv: 1206.3364