Abstract
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 effects of this operator on the photon number
sum and difference. We find in absence of the squeezing parameters
λ1 and λ2 both the sum and the difference are conserved by the two mode correlated operator. The squeezing phenomenon
is discussed, and the minimum uncertainty state is found for small
value of the squeezing parameter λ. 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 distribution function is given, and the
matrix elements of the density operator are calculated. The photocount
distribution is also considered.