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arXiv:cond-mat/0407429 · Nuclear Physics B

Exactly-solvable models derived from a generalized Gaudin algebra

Gerardo Ortíz, Rolando D. Somma, J. Dukelsky, S. Rombouts

Published Dec 13, 2004• 191 citations
arXivHTMLPDF
DOI
10.1016/j.nuclphysb.2004.11.008

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The quasi-Gaudin algebra was introduced to construct integrable systems which are only quasi-exactly solvable. Using a suitable representation of the quasi-Gaudin algebra, we obtain a class of bosonic models which exhibit this curious property. These models have the notable feature that they do not preserve U(1) symmetry, which is typically associated to a non-conservation of particle number. An exact solution for the eigenvalues within the quasi-exactly solvable sector is obtained via the algebraic Bethe ansatz formalism.