Elliptic three-boson system, ``two-level three-mode JCD-type models and non-skew-symmetric classical r-matrices

DOI10.1016/J.NUCLPHYSB.2011.11.016zbMath1246.82027OpenAlexW1986498998MaRDI QIDQ447218

T. V. Skrypnik

Publication date: 3 September 2012

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nuclphysb.2011.11.016

zbMATH Keywords

integrable systemsalgebraic Bethe ansatzclassical r-matrices

Mathematics Subject Classification ID

Quantum optics (81V80) Exactly solvable models; Bethe ansatz (82B23) Groups and algebras in quantum theory and relations with integrable systems (81R12)

Related Items (7)

Integrable spin-${\frac{1}{2}}$ Richardson–Gaudin XYZ models in an arbitrary magnetic field ⋮ Separation of variables in anisotropic models and non-skew-symmetric elliptic \(r\)-matrix ⋮ Classical $r$-matrices, ``elliptic BCS and Gaudin-type Hamiltonians and spectral problem ⋮ Separation of variables in anisotropic models: anisotropic Rabi and elliptic Gaudin model in an external magnetic field ⋮ ``Twisted rational \(r\)-matrices and the algebraic Bethe ansatz: applications to generalized Gaudin models, Bose-Hubbard dimers, and Jaynes-Cummings-Dicke-type models ⋮ Z₂-graded classicalr-matrices and algebraic Bethe ansatz: applications to integrable models of quantum optics and nuclear physics ⋮ ‘Bethe-ansatz-free’ eigenstates for spin-1/2 Richardson–Gaudin integrable models

Cites Work

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