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Physics Letters B

Studies of the ground-state properties of the Lipkin-Meshkov-Glick model via the atomic coherent states

Robert Gilmore, D.H. Feng

Published May 1, 1978• 80 citations
Publisher
DOI
10.1016/0370-2693(78)90090-4

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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.