The linear entropy and atomic inversion and entropy squeezing in a system of double two-level atoms interacting with a single mode light field at Pólya state under intensity dependent coupling condition were studied by means of full quantum theory. The influences of the initial state of atoms and different parameters of the light field and parameters of Lamb-Dicke on the linear entropy, atomic inversion and entropy squeezing were discussed. The results show that, when the atom in different initial states, the quantum properties of the system are completely different. The period of oscillation increases with the light field parameter of p. Increasing the value of the light field parameter r, which causes the amplitude change and the collapse-recovery phenomenon and the entropy squeezing are destroyed.