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Exactly-solvable models for atom-molecule hamiltonians

J. Dukelsky·G. G. Dussel·C. Esebbag·S. Pittel
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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.

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J. Dukelsky, G. G. Dussel, C. Esebbag, S. Pittel. 2004-06-08. Exactly-solvable models for atom-molecule hamiltonians. https://doi.org/10.1103/physrevlett.93.050403

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