One generalization of the Dicke-type models

We discuss one family of possible generalizations of the Jaynes-Cummings and the Tavis-Cummings models using the technique of algebraic Bethe ansatz related to the Gaudin-type models. In particular, we present a family of (generically) non-Hermitian Hamiltonians that generalize paradigmatic quantum-optical models. Further directions of our research include studying physical properties of the obtained generalized models.