Geodesic
“Twisted” rational $r$-matrices and the algebraic Bethe ansatz:
Teoretičeskaâ i matematičeskaâ fizika, Tome 189 (2016) no. 1, pp. 125-146 Cet article a éte moissonné depuis la source Math-Net.Ru

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We construct quantum integrable systems associated with the Lie algebra $gl(n)$ and non-skew-symmetric "shifted and twisted" rational $r$-matrices. The obtained models include Gaudin-type models with and without an external magnetic field, $n$-level $(n-1)$-mode Jaynes–Cummings–Dicke-type models in the $\Lambda$-configuration, a vector generalization of Bose–Hubbard dimers, etc. We diagonalize quantum Hamiltonians of the constructed integrable models using a nested Bethe ansatz.
Keywords: integrable system, classical $r$-matrix, algebraic Bethe ansatz. 
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T. V. Skrypnyk. “Twisted” rational $r$-matrices and the algebraic Bethe ansatz:. Teoretičeskaâ i matematičeskaâ fizika, Tome 189 (2016) no. 1, pp. 125-146. http://geodesic.mathdoc.fr/item/TMF_2016_189_1_a9/

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