Evolution of Fock states in three mixed harmonic oscillators: Quantum statistics

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