Figure 16

Figure 16: Schematic plot of a vacuum state transformation under the action of the squeezing operator Sˆ[r,ϕ ]. Eqs. (74View Equation) demonstrate the equivalence of the general squeezing operator ˆS[r,ϕ] to a sequence of phase plane counterclockwise rotation by an angle ϕ (transition from a) to b)), phase plane squeezing and stretching by a factor r e (transition from b) to c)) and rotation back by the same angle ϕ (transition from c) to d)). Point P ′ tracks how transformations change the initial state marked with point P.