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Applied Mathematics & Information Sciences

Enhanced Quadrupole Interaction by Co and Counter-Propagating Hermite-Gaussian Beams

S. Al‐Awfi

Published Jan 1, 2015• 0 citations
OpenAlex

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Dynamics of Hermite-Gaussian Beam Propagation in a Five-Level Tripod-Type Atomic Medium with Spatially Dependent Refractive Index

Muhammad Tariq, Abuzar Khan

This research investigates the intricate interplay between a Hermite-Gaussian (HG) weak probe field and a five-level tripod atomic medium, modulated by three laser fields. The atomic medium's refractive index is made spatially dependent by a Hermite-Gaussian beam of light and influenced further by a Kerr field and a control field. The study focuses on exploring the impact of key parameters on the propagation dynamics of the HG probe field. The primary parameters under scrutiny include the probe field detuning ($\Delta_P/\gamma$), Kerr, coherent pump, and control field characteristics such as Rabi frequencies and detunings ($\Omega_{1,2,3}/\gamma$, $\Delta_{1,2,3}/\gamma$), as well as spatial coordinates $x/\omega_0$ and $y/\omega_0$, where $\omega_0$ denotes the Gaussian beam waist. Through systematic analysis, we elucidate the intricate effects of these parameters on the modulation of the HG probe field within the atomic medium. The study not only contributes to the fundamental understanding of light-matter interactions in complex atomic systems but also holds promise for potential applications in quantum information processing and communication. The results provide valuable insights into the control and manipulation of light beams in spatially varying media, paving the way for advancements in quantum optics and atomic physics.

•Jan 30, 2024•0 citations
Modern studies have confirmed the possibility of making atomic mirrors using quadrupole-active atomic transition evanescent waves. The reflection process has been shown to be enhanced to approach specular behavior in several ways. In this study, we considered the atomic mirror due to the optical quadrupole potential generated by two counter-propagating optical Gaussian beams. This arrangement provides good enhancement for the evanescent field in the vacuum above the surface, which can be used as an atomic mirror. A high-quality atomic mirror should reflect the atoms specularly while maintaining the coherence of the de Broglie wave function. We focused on a particular atomic transition in Cs, which is a dipole-forbidden but quadrupole-allowed transition. We illustrate the optical quadrupole potential and suggest that quadrupolar transitions generally ignored in atom optics exist for exploitation. This study investigated the conditions facilitating atomic mirrors using typical experimentally accessible parameters.
This research investigates the intricate interplay between a Hermite-Gaussian (HG) weak probe field and a five-level tripod atomic medium, modulated by three laser fields. The atomic medium's refractive index is made spatially dependent by a Hermite-Gaussian beam of light and influenced further by a Kerr field and a control field. The study focuses on exploring the impact of key parameters on the propagation dynamics of the HG probe field. The primary parameters under scrutiny include the probe field detuning (ΔP/γ\Delta_P/\gammaΔP​/γ), Kerr, coherent pump, and control field characteristics such as Rabi frequencies and detunings (Ω1,2,3/γ\Omega_{1,2,3}/\gammaΩ1,2,3​/γ, Δ1,2,3/γ\Delta_{1,2,3}/\gammaΔ1,2,3​/γ), as well as spatial coordinates x/ω0x/\omega_0x/ω0​ and y/ω0y/\omega_0y/ω0​, where ω0\omega_0ω0​ denotes the Gaussian beam waist. Through systematic analysis, we elucidate the intricate effects of these parameters on the modulation of the HG probe field within the atomic medium. The study not only contributes to the fundamental understanding of light-matter interactions in complex atomic systems but also holds promise for potential applications in quantum information processing and communication. The results provide valuable insights into the control and manipulation of light beams in spatially varying media, paving the way for advancements in quantum optics and atomic physics.