Compton scattering of birefringence beams of light via a chiral atomic medium

We examine controlling and analyzing the differences in Compton shifts among birefringent beams. We focus on how absorption birefringence, dispersion, and Compton shifts are influenced by variations in the strength of the control field, its phase, and probe detuning. Our model reveals that the birefringence of absorption, dispersion, and Compton shifts, as well as their relationship with the inverse Doppler effect. We find that the birefringence of Compton shifts and their divergence decrease with increasing inverse Doppler effects, ultimately reaching saturation at high values of this parameter. Specifically, the Compton shift is maximized at the Compton angle θ = π and minimized at θ =0 and θ =2 π . This behavior underscores the sensitivity of the system to control parameters and the significance of phase relationships in quantum optical processes. Remarkably, we also measure the maximum absolute fractional divergence change in the birefringent shifts to be 10% λ , indicating a substantial degree of control over the optical properties of the system. These results not only enhance our understanding of the interplay between control fields and birefringent phenomena but also demonstrate the potential for optimizing quantum optical applications, such as precision measurements and quantum information processing.