Gaudin-type models, non-skew-symmetric classical \(r\)-matrices and nested Bethe ansatz

DOI10.1016/j.nuclphysb.2014.12.004zbMath1328.82018OpenAlexW2046189463MaRDI QIDQ901945

T. V. Skrypnik

Publication date: 6 January 2016

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

Full work available at URL: https://doi.org/10.1016/j.nuclphysb.2014.12.004

Mathematics Subject Classification ID

Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Yang-Baxter equations (16T25)

Related Items (4)

``Generalized algebraic Bethe ansatz, Gaudin-type models and \(Z_{p}\)-graded classical \(r\)-matrices ⋮ Twisted rational \(r\)-matrices and algebraic Bethe ansatz: application to generalized Gaudin and Richardson models ⋮ ``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

Cites Work

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• Separation of variables in the Gaudin model
• Integrability and exact solution for coupled BCS systems associated with the \(\mathrm{su}(4)\) Lie algebra
• Non-skew-symmetric classical r-matrices and integrable ``\(p_x +ip_y\) proton-neutron BCS models
• ``\(Z_2\)-graded Gaudin models and analytical Bethe ansatz
• Lie algebras with triangular decompositions, non-skew-symmetric classical \(r\)-matrices and Gaudin-type integrable systems
• The quantum Gaudin system
• Classical Yang–Baxter equations and quantum integrable systems
• Non-skew-symmetric classical r-matrices, algebraic Bethe ansatz, and Bardeen–Cooper–Schrieffer–type integrable systems
• Colloquium: Exactly solvable Richardson-Gaudin models for many-body quantum systems
• Diagonalisation of GL(N) invariant transfer matrices and quantum N-wave system (Lee model)
• SU(3) Richardson–Gaudin models: three-level systems
• s l 2 Gaudin model with jordanian twist
• Integrability and superintegrability of the generalized n-level many-mode Jaynes–Cummings and Dicke models
• Algebraic Bethe ansatz method for the exact calculation of energy spectra and form factors: applications to models of Bose Einstein condensates and metallic nanograins
• Solution for the dynamics of the BCS and central spin problems
• Spectroscopy of discrete energy levels in ultrasmall metallic grains
• Quadratic algebras and integrable systems

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