Squeezing and non-oriented spin states

We classify the pure states of a spin-s system into oriented and non-oriented states. A pure state is said to be non-oriented if it is not an eigenstate of S-2 and S-z with respect to any axis of quantization. If it is an eigenstate it is oriented. In this paper, we discuss the notion of spin squeezing in these states. Our analysis shows that the oriented states are not squeezed while non-oriented states exhibit squeezing. We also present a new scheme for the construction of spin-s states using 2s spinors oriented along different axes. Taking the case of s = 1, we show that 'non-oriented' nature and hence squeezing arise from the intrinsic quantum correlations that exist among the spinors in the coupled state.