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Exactly solvable models for atom-molecule Hamiltonians
Authors:Dukelsky J  Dussel G G  Esebbag C  Pittel S
Affiliation:Instituto de Estructura de la Materia, CSIC, Serrano 123, 28006 Madrid, Spain.
Abstract:We present a family of exactly solvable generalizations of the Jaynes-Cummings model involving the interaction of an ensemble of SU(2) or SU(1,1) quasispins with a single boson field. They are obtained from the trigonometric Richardson-Gaudin models by replacing one of the SU(2) or SU(1,1) degrees of freedom by an ideal boson. The application to a system of bosonic atoms and molecules is reported.
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