Spectral Analysis of Polarization Squeezed Light in Sherson-Molmer Four-Pass Protocol

This poster presents a theoretical study of the spectrum of polarization-squeezed light by examining the Faraday rotation of a linearly polarized laser field as it passes through two oppositely polarized atomic samples in the presence of a magnetic field (Sherson-Molmer Four-Pass Protocol). The input-output formalism serves as the primary theoretical framework for relating field variables after each pass through the atomic samples and for accounting for losses introduced by the optical setup. The squeezing spectrum is then calculated to quantify the degree of squeezing achieved. In collaboration with the Miami-Wisconsin experimental group, the primary objective of this project is to generate bright polarization-squeezed light for the detection of weak magnetic fields, aiming to achieve greater sensitivity than current state-of-the-art magnetometers such as SQUIDs.