Squeezing versus photon-number fluctuations
Giacomo Mauro D’Ariano, S. Morosi, Mario Rasetti, Jacob Katriel, A. I. Solomon · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · 1987
After deriving a general formula for the quantum probability distribution function higher moments, we apply it to the multiphoton squeezed states [the usual Gaussian and the new non-Gaussian Weyl-Heisenberg, SU(2), and SU(1,1)]. The resulting moments are discussed as functions of the photon-number fluctuations. General criteria are considered to determine optimal squeezing properties with respect to photon-number noise. There result interesting generalized uncertainty relations in the form of scaling laws.