Simultaneous squeezing of two orthogonal spin components

Abstract

Squeezing of spin is usually discussed for x and y components (Sx and Sy), considering the commutation relation [Sx,Sy] = i SZ for the triad (Sx, Sy, SZ) of three mutually perpendicular spin components. We generalize and discuss squeezing of the spin component Sθ = Sxcosθ+Sysinθ considering all possible such triads, which include Sθ. For an explicit example involving the interaction of an assembly of two excited two-level atoms with single-mode coherent radiation, we find that Sθ and Sθ+π/2 can be squeezed simultaneously.