Modelling Spatial Modes of Squeezed Vacuum

We develop a fully quantum model to describe the spatial mode properties of squeezed light generated as a strong laser beam propagates through a Rb vapor cell. Our results show that a Gaussian pump beam can generate a collection of higher order Laguerre-Gaussian squeezed vacuum modes, each carrying a particular squeeze parameter and squeeze angle. We show that a proper sorting of modes could lead to improved noise suppression and thus make this method of squeezed light generation very useful for precision metrology.