Variation from number- to chaotic-state fields: A generalized geometric state

We introduce a formal state of the radiation field which interpolates between the (pure) number (Fock) state and the (nonpure) chaotic state. The correlation functions and the squeezing properties are studied. The study of two quantum optical systems (namely, the Jaynes-Cummings model and resonance fluorescence for a single atom and many cooperative atoms) in such a state of the radiation field provides more insight into the gradual behavior as one goes from the number state to the chaotic state. A scheme for the production of such a state is sought to be realized in a model of multiphoton processes in a finite-level atomic system. The quasiprobability Wigner distribution function for such a state is also examined.