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

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 thro...

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Bibliographic Details
Main Authors: Mattei, E., Links, J.
Format: Article
Language:English
Published: Інститут математики НАН України 2013
Series:Symmetry, Integrability and Geometry: Methods and Applications
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/149368
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Summary: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.