Quadrature Squeezing in the Cavity Mode Driven by Coherent Light and Interacting with Two-Level Atom

We have analyzed the quadrature squeezing in a cavity mode driven by coherent light and interacting with a two-level atom. We have found that the cavity mode is in a squeezed state, with the maximum quadrature squeezing being $50\%$ below the vacuum-state level. We have also considered the superposition of a pair of cavity modes, each driven by coherent light and interacting with a two-level atom. We have found that the superposed cavity modes are in a squeezed state and the squeezing occurs in both quadratures. We have established that the uncertainty relation perfectly holds for this case. In addition, we have observed that the sum of the maximum squeezing in the plus and minus quadratures is $50\%$.