Ground-state analysis for an exactly solvable coupled-spin Hamiltonian

Mattei, Eduardo and Links, Jon (2013) Ground-state analysis for an exactly solvable coupled-spin Hamiltonian. Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 9 . doi:10.3842/SIGMA.2013.076


Author Mattei, Eduardo
Links, Jon
Title Ground-state analysis for an exactly solvable coupled-spin Hamiltonian
Journal name Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)   Check publisher's open access policy
ISSN 1815-0659
Publication date 2013-11
Year available 2013
Sub-type Article (original research)
DOI 10.3842/SIGMA.2013.076
Open Access Status DOI
Volume 9
Total pages 15
Place of publication Kyiv, Ukraine
Publisher National Academy of Sciences of Ukraine, Institute of Mathematics
Collection year 2014
Language eng
Formatted abstract
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.
Keyword Bethe ansatz
Mean-field analysis
Quantum phase transition
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status UQ

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Mathematics and Physics
Official 2014 Collection
 
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