Integrability and exact solution for coupled BCS systems associated with the \(\mathrm{su}(4)\) Lie algebra

DOI10.1016/S0550-3213(02)00776-9zbMath0998.82038arXivcond-mat/0205124MaRDI QIDQ700851

Huan-Qiang Zhou, Xi-Wen Guan, Angela Foerster, J. R. Links

Publication date: 9 October 2002

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

Full work available at URL: https://arxiv.org/abs/cond-mat/0205124

zbMATH Keywords

energy spectrumYang-Baxter equationalgebraic Bethe ansatz

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) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20)

Related Items (5)

Integrability of the Russian doll BCS model ⋮ Gaudin-type models, non-skew-symmetric classical \(r\)-matrices and nested Bethe ansatz ⋮ Non-skew-symmetric classical r-matrices and integrable ``\(p_x +ip_y\) proton-neutron BCS models ⋮ Rational r-matrices, higher rank Lie algebras and integrable proton-neutron BCS models ⋮ Trigonometric SU(N) Richardson–Gaudin models and dissipative multi-level atomic systems

Cites Work

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• The quantum inverse scattering method for Hubbard-like models.
• Exact form factors in integrable quantum field theories: The sine-Gordon model
• Completeness of states of the generalized Heisenberg magnet
• Integrability and exact spectrum of a pairing model for nucleons
• Off-shell Bethe ansatz equations and N-point correlators in the SU(2) WZNW theory
• Chern-Simons theory and BCS superconductivity

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