  In this communication we investigate the quantum statistics of three harmonic
oscillators mutually interacting with each other considering the modes are
initially in Fock states. After solving the equations of motion, the squeezing
phenomenon, sub-Poissonian statistics and quasiprobability functions are
discussed. We demonstrate that the interaction is able to produce squeezing of
different types. We show also that certain types of Fock states can evolve in
this interaction into thermal state and squeezed thermal state governed by the
interaction parameters.
