Probing the engineering squeezing and phase phenomena in defective light crystals

Abstract

Abstract This approach presents an investigation into the optical phenomena of squeezing and phase in ultracold boson atoms confined within an engineered faulty crystal. The analysis encompasses the impact of spin–orbit interaction and Zeeman field mechanisms, resulting in a substantial enhancement of sensitivity to these phenomena. An investigation of the phenomena is based on the Pancharatnam theory and the language of information entropy. The proposed approach offers a flexible and efficient means to manipulate the dynamics of atomic internal states. Challenges arising from crystal dissipation are addressed, and their influence on the observed phenomena is discussed. Additionally, an analytical solution of the Liouville equation is provided, accurately describing the behavior of the defective crystal. The findings of this study contribute to a deeper understanding of atom dynamics and provide a foundation for utilizing and manipulating geometric phases in quantum technologies.

Keywords: Ultracold Boson Atoms, Defective Crystal, Optical Squeezing, Phase Phenomena, Spin–Orbit Interaction