  Recent studies on non-perturbation aspects of noncommutative quantum
mechanics explored a new type of boson commutation relations at the deformed
level, described by deformed annihilation-creation operators in noncommutative
space. This correlated boson commutator correlates different degrees of
freedom, and shows an essential influence on dynamics. This paper devotes to
the development of formalism of deformed two-photon squeezed states in
noncommutative space. General representations of deformed annihilation-creation
operators and the consistency condition for the electromagnetic wave with a
single mode of frequency in NC space are obtained. Two-photon squeezed states
are studied. One finds that variances of the dimensionless hermitian
quadratures of the annihilation operator in one degree of freedom include
variances in the other degree of freedom. Such correlations show the new
feature of spatial noncommutativity and allow a deeper understanding of the
correlated boson commutator.
