Polarization squeezing in polarized light

Abstract

It is shown that polarized light can be polarization squeezed only if it exhibits sub-Poissonian statistics with the Mandel's Q factor less than -1/2.In classical optics, Stokes parameters are used to denote the polarization state [1,2]. For light beam travelling along the 3-direction, the Stokes parameters S 0,1,2,3 are defined by and lead to the uncertainty relations,

Alteration in non-classicality of light on passing through a linear polarization beam splitter

“…But, it is very important to notice that the squeezed vacuum is observed squeezed in polarization [14] when the first criterion for polarization squeezing [5] is used, however, the two mode squeezed vacuum shows no squeezing in polarization on using the general criterion that considers uncertainty relation followed by Stokes operators in addition to the commutation relations. We observe that it does not exhibit any squeezing in polarization as per the general criteria [7,8] for a general component of Stokes operator vector. In a similar way, we obtain the minimum squeezing factor in case of Stokes operator Ŝ3 for (φ x + φ y ) = π/2 and (φ y − φ x ) = 0 with a condition tanh kt = 2r x r y /r 2 x + r 2 y , as…”

“…Later, this definition was modified by Heersink et al [6] taking into account the uncertainty relations followed by these Stokes operators and generalized by Luis and Korolkova [7] for a general component of Stokes operator vector. The authors have written the criterion for polarization squeezing for a general component of Stokes vector operatorŜ n along the unit vector n [8][9][10] in the following form…”

Quantum concepts in optical polarization

“…which is referred to as planar squeezing [123,124]. Alternative results concerning the simultaneous squeezing of two or three [133] Stokes operators have been obtained. Finally, we mention that uncertainty relations can be assessed using measures of uncertainty other than variance; the most popular alternatives are entropic measures [134].…”

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

“…where |vac is vacuum state satisfyingâ ε |vac = 0. On considering the normal ordering of the operators [12], expectation values of Stokes operators (3) and their squares and anticommutators can be obtained by straight calculations which on simplification (usingâ ε ⊥ |ψ = 0) give Ŝ 0 = N, Ŝ 1 = N cos θ, Ŝ 2 = N sinθ cos φ, Ŝ 3 = N sin θsinφ,…”