Squeezing and non-oriented spin states

We classify the pure states of a spin-s system into oriented and non-orient ed states. A pure state is said to be non-oriented if it is not an eigensta te of S-2 and S-z with respect to any axis of quantization. If it is an eig enstate it is oriented. In this paper, we discuss the notion of spin squeez ing in these states. Our analysis shows that the oriented states are not sq ueezed while non-oriented states exhibit squeezing. We also present a new s cheme 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' natu re and hence squeezing arise from the intrinsic quantum correlations that e xist among the spinors in the coupled state.