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paper

Exactly-solvable models for atom-molecule hamiltonians

arXiv:cond-mat/0406190 · doi:10.1103/PhysRevLett.93.050403

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.

To be published by Physical Review Letters