Abstract
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.