Simultaneous polarization squeezing in polarized N photon state and diminution on a squeezing operation

•This is a study of polarization squeezing in a polarized N photon state.•This study uses the most general criterion for polarization squeezing given by the authors.•It shows the simultaneous polarization squeezing in all the components of Stokes operators.•It is also observed that the simultaneous squeezing disappears under a squeezing operation.

We study polarization squeezing of a pure photon number state, which is obviously polarized but the mere change in the basis of polarization leads to simultaneous polarization squeezing in all the components of Stokes operator vector except those falling along or perpendicular to the direction of polarization state, is observed. We use the most general definition of polarization squeezing and discuss the experimental feasibility of the result. We also observe that a squeezing operation like non-degenerate parametric amplification of the state does not reveal simultaneous squeezing in all Stokes operator vectors and decreases in this sense.