One Generalization of the Dicke-Type Models

Abstract

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 Gaudintype models. In particular, we present a family of (generically) non-Hermitian Hamiltonians that generalize paradigmatic quantum optical problems. New directions of our research may include studying physical properties of the obtained generalized models.