| Izvleček: | In this paper, we study the quantum properties of the three-mode squeezed operator. This operator is
constructed from the optical parametric oscillator based on the three concurrent χ(2) nonlinearities. We give
a complete treatment for this operator including the symmetric and asymmetric nonlinearity cases. The
action of the operator on the number and coherent states is studied in the framework of squeezing, secondorder
correlation function, Cauchy–Schwartz inequality and single-mode quasiprobability function. The
nonclassical effects are remarkable in all these quantities. We show that the nonclassical effects generated by
the asymmetric case–for certain values of the system parameters–are greater than those of the symmetric
one. This reflects the important role for the asymmetry in the system. Moreover, the system can generate
particular types of the superposition states.
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