On the exact solutions of the Lipkin-Meshkov-Glick model

Details On the exact solutions of the Lipkin-Meshkov-Glick model On the exact solutions of the Lipkin-Meshkov-Glick model

2001-06-28

arxiv.org/abs/quant-ph/0106163v1

J.Phys.A34:3265-3276,2001

Physics

Quantum Physics

18 pages, 2 figures, RevTeX

Scientific paper

10.1088/0305-4470/34/15/305

We present the many-particle Hamiltonian model of Lipkin, Meshkov and Glick in the context of deformed polynomial algebras and show that its exact solutions can be easily and naturally obtained within this formalism. The Hamiltonian matrix of each $j$ multiplet can be split into two submatrices associated to two distinct irreps of the deformed algebra. Their invariant subspaces correspond to even and odd numbers of particle-hole excitations.

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