Abstract: The higher-order single mode squeezing effects of different field modes in couple cavity optomechanical system are investigated using short time dynamics up to the second order Hamiltonian interaction term. The occurrence of amplitude squeezing for both quadratures of different field modes are observed and dependence on the coupling strength, photon hopping interaction term and phase values of the field amplitude are also investigated. Depth of nonclassicalities increases with increasing order.

Keywords: higher-order squeezing, non classical, optomechanics.