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note
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Implicitly, we reach a three-dimensional squeezed vacuum, and a three-dimensional, not a two-dimensional, theory by choosing a beam of squeezed light directed along the x-axis incident on the beam from the ring cavity travelling along the z-axis thus the one-dimensional squeezed vacuum, equations (A.21a-A.21c), has all its modes directed along the x-axis and is isotropic in all directions orthogonal to that direction. In [34] for example we consider arbitrary three-dimensional squeezed vacua of any geometry.
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