Statistical properties of a solvable three-boson squeeze operator model

In the present paper ne introduce a new squeeze operator, which is related to the time-dependent evolution operator for Hamiltonian representing mutua l interaction between three different modes. Squeezing phenomenon as well a s the variances of the photon-number sum and difference are considered. Mor eover Glauber second-order correlation function is discussed, besides the q uasiprobability distribution function and phase distribution for different states. The joint photon-number distribution is also reported.