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 cooperativ
e 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 cha
otic state. A scheme for the production of such a state is sought to b
e realized in a model of multiphoton processes in a finite-level atomi
c system. The quasiprobability Wigner distribution function for such a
state is also examined.