Quantum statistics of a new two mode squeeze operator model

In this paper we introduce a new squeeze operator which is a combination of the two single photon squeezing operator and two mode correlated operator. We construct the general coherent-state wave function, and study the effec ts of this operator on the photon number sum and difference. We find in abs ence of the squeezing parameters lambda(1) and lambda(2) both the sum and t he difference are conserved by the two mode correlated operator. The squeez ing phenomenon is discussed, and the minimum uncertainty state is found for small value of the squeezing parameter lambda. Besides the Glauber second order correlation function, the statistical investigations are carried out for the quasi-probability distribution functions (P-representation, Wigner function and Q-function). The discussion related to the phase space distrib ution function is given, and the matrix elements of the density operator ar e calculated. The photocount distribution is also considered.