Exactly-solvable models derived from a generalized Gaudin algebra

By Gerardo Rodríguez Ortíz, Rolando D. Somma, J. Dukelsky, S. Rombouts. 2004

156 citations recorded by the source corpus.

Abstract We introduce a generalized Gaudin Lie algebra and a complete set of mutually commuting quantum invariants allowing the derivation of several families of exactly solvable Hamiltonians. Different Hamiltonians correspond to different representations of the generators of the algebra. The derived exactly-solvable generalized Gaudin models include the Hamiltonians of Bardeen–Cooper–Schrieffer, Suhl–Matthias–Walker, Lipkin–Meshkov–Glick, the generalized Dicke and atom–molecule, the nuclear interacting boson model, a new exactly-solvable Kondo-like impurity model, and many more that have not been exploited in the physics literature yet.

Subfields: Atomic and Molecular Physics, and Optics, Geometry and Topology, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/22b122ebf0b63d6c55355ebcf559d8166244b8b3

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The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Atomic and Molecular Physics, and Optics

1. Rosario Fazio
2. Luigi Amico
3. A. Osterloh
4. Vlatko Vedral
5. J. Cardy
6. Pasquale Calabrese
7. Michael J. Hartmann

In Statistical and Nonlinear Physics

1. Vlatko Vedral
2. Rosario Fazio

Citations in the corpus

• Entanglement in many-body systems (2007, methodology): “Both the LMG and the BCS type models can be solved exactly by Bethe Ansatz (Richardson, 1963; Richardson and Sherman, 1964) (see also Dukelsky et al., 2004 for a review) as they are quasi classical descendants of the six vertex model (Amico et al., 2001; Di Lorenzo et al., 2002; Ortiz et al., 2005).”