N–Level System Interacting with Single Radiation Mode and Multi Cat States of Schrödinger in the Strong Coupling Regime

In this paper we consider some (generalized) models which deal with n–level atom interacting with a single radiation mode and study a general structure of Rabi floppings of these generalized ones in the strong coupling regime. To solve these models we introduce multi cat states of Schrödinger in our terminology and extend the result in (quant–ph/0203135) which Rabi frequencies are given by matrix elements of generalized coherent operators (quant–ph/0202081) under the rotating–wave approximation. Our work is a full generalization of Frasca (quant–ph/0111134) and Fujii (quant–ph/0203135). In last we make a brief comment on an application to Quantum Computation on the space of qudits. ∗E-mail address : [email protected]