A quasi-exactly solvable Lipkin-Meshkov-Glick model
We prove that a special Lipkin-Meshkov-Glick model is quasi-exactly solvable with solutions that can be expressed in the SU(2) coherent state form. Ground-state properties of the model are studied analytically. We also show that the model reduces to the standard two-site Bose-Hubbard model in the large-N limit for finite U/t or large (N - 1)|U|/t cases with finite N, which proves that in these cases the ground state of the standard two-site Bose-Hubbard model is an SU(2) coherent state. © 2010 IOP Publishing Ltd.
Publication Source (Journal or Book title)
Journal of Physics A: Mathematical and Theoretical
Pan, F., Lin, J., Xue, X., & Draayer, J. (2010). A quasi-exactly solvable Lipkin-Meshkov-Glick model. Journal of Physics A: Mathematical and Theoretical, 43 (18) https://doi.org/10.1088/1751-8113/43/18/185203