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

DOI10.1088/0305-4470/34/15/305zbMATH Open1028.82006arXivquant-ph/0106163OpenAlexW3098040502MaRDI QIDQ2735712

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Publication date: 4 September 2001

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Abstract: 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.

Full work available at URL: https://arxiv.org/abs/quant-ph/0106163

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