Photon Statistics for Superposed Squeezed Vacuum States

Abstract

This research looks at the compressed light beams superposed on top of each other and their statistical and compressive properties. It is possible to construct the anti-normally ordered characteristics function using the density operator of single-mode squeezed vacuum states. The quasi-probability distribution functions (Q-function) for identical two-mode superposed states, three-mode squeezed vacuum states, and one-mode squeezed vacuum states can be obtained using this function. We calculate the statistical and squeezing characteristics of single mode and superposed light beams with the function Q that was derived. The correlation between the average photon number and quadrature variance of the superimposed light beams and their corresponding values for the average photon number and quadrature variance of the single-mode compressed vacuum states is found to be equal to zero. The average amount of photons also rises as the squeezing parameter is increased. In addition, we find that the superposed light beams' quadrature squeezing is the same as the one in the single-mode squeezed vacuum. As the squeeze parameter gets closer to infinity, the plus quadrature, where the compression occurs, approaches unity.