Normal and higher order squeezing in eight-wave mixing process

We investigate theoretically the generation of squeezed states in spontaneous and stimulated eight wave mixing process. It has been found that squeezing occurs in field amplitude, amplitude-squared, amplitude-cubed and fourth power of amplitude states of fundamental mode in the eight wave mixing process. It is found to be dependent on coupling parameter g interaction time t and phase values of the field amplitude. Eight-wave mixing is a process which involves absorption of three pump photons and emission of four probe photons of same frequency and a signal photon of different frequency. It is shown that squeezing is greater in a stimulated interaction than the corresponding squeezing in spontaneous process. It is found that the degree of squeezing depends upon the photon number in first and higher orders. We study the Poissonian behaviour of quantum field in the fundamental mode. It has been found that the field shows sub-Poissonian behaviour in the fundamental mode. The signal to noise ratio has also been studied in different orders and found to be higher in lower orders.