An algebraic solution to the master equation for atomic damping by a squeezed vacuum
H. A. Schmitt · Journal of Physics B Atomic Molecular and Optical Physics · 1993
An algebraic solution to the problem of atomic damping by a squeezed vacuum in the presence of an external field is presented. The master equation is solved by exploiting its formal similarity with the S-matrix equation and using group theoretical techniques. This method provides quantities of interest, such as expectation values, variances and statistics without solving additional differential equations. The effect on dipole squeezing of several physical parameters, such as the average number of squeezed photons and the magnitude and phase of the squeezing parameter, is studied graphically.