  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.
