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arXiv:cond-mat/0406190·v1·cond-mat.soft

Exactly-solvable models for atom-molecule hamiltonians

J. Dukelsky🇪🇸 · G. G. Dussel🇦🇷 · C. Esebbag🇪🇸 · S. Pittel🇺🇸

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) quasi-spins 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. Application to a system of bosonic atoms and molecules is reported.

Comments: To be published by Physical Review Letters

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