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

Symmetry Integrability and Geometry-Methods and Applications

article

Eduardo Mattei¹  Jon Links² 

[1] Centro Brasileiro de Pesquisas Físicas;School of Mathematics and Physics, The University of Queensland

关键词: mean-field analysis;    Bethe ansatz;    quantum phase transition;   

DOI  :  10.3842/SIGMA.2013.076

来源: National Academy of Science of Ukraine

【 摘 要 】

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.

【 授权许可】

Unknown