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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

Published Jan 30, 2024• 0 citations
Publisher

Abstract

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.

DOI
10.1364/opticaopen.25102928

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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.
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.
Abstract This research investigates the intricate interplay between Gaussian beams and atomic media, introducing a novel approach by incorporating a Kerr field and spatially dependent refractive index. The study employs a Gaussian probe field as the primary interaction medium with the atomic ensemble, while simultaneously introducing two control fields. One of these control fields acts as a Kerr field, imparting a unique modulation on the propagation characteristics of the Gaussian beam. The key parameters under scrutiny encompass the probe field detuning (∆P /γ), as well as the Rabi frequencies and detunings of the control fields (Ω1,2/γ, ∆1,2/γ). Further exploration involves transforming one of the control fields into a Gaussian beam, resulting in the creation of a spatially dependent refractive index within the atomic medium. The investigation focuses on the spatial coordinates x/ω0 and y/ω0, where ω0 represents the Gaussian beam waist. This intricate configuration provides a unique platform for studying the manipulation and control of light propagation in atomic media. The research not only sheds light on fundamental interactions in quantum optics but also opens avenues for potential applications in quantum information processing and precision measurement. The outcomes of this study contribute valuable insights into the dynamics of Gaussian beams in complex atomic environments, with potential implications for quantum technology and communication.
We investigate the controlled manipulation of the Goos-H\"anchen (GH) shift in probe light beams, encompassing both plane and Gaussian beams, when introduced into a cavity housing a highly resonant five-level atomic system exhibiting a combined tripod and $\mathrm{\ensuremath{\Lambda}}$ (CTL) configuration. This complex scheme arises from the interaction of three atomic ground states with two excited states through five distinct light fields. Such a system effectively reduces to a $\mathrm{\ensuremath{\Lambda}}$- or N-shaped configuration by manipulating the light fields, resulting in the alteration of the dispersion behavior of the probe beam, ultimately inducing either a positive or negative GH shift. This unique behavior is a direct consequence of the closed-loop structure inherent to the five-level atomic scheme. For both plane and Gaussian beams, we demonstrate the superiority of CTL over $\mathrm{\ensuremath{\Lambda}}$ and NNN schemes in achieving substantial positive GH shifts. When considering Gaussian probe light, we observe a critical role played by the beam width in controlling the magnitude and sign of the GH shifts. Our proposed approach for studying the GH shift carries significant practical implications, particularly in its capacity to monitor media with either left-handed characteristics displaying negative permittivity and permeability or right-handed characteristics displaying positive permittivity and permeability through the manipulation of externally controlled parameters. This approach may find applications in various fields, including optical heterodyne sensors used to measure beam angle, displacement, temperature, and refractive index, thereby advancing our understanding and control of optical phenomena.
Abstract We have studied two-dimensional absorption, gain, and corresponding refractive index profiles in a ladder-type three-level atomic system interacting with three coherent fields. One is a weak probe field considered as a plane wave, while the other two are the control fields taken as two Laguerre–Gaussian doughnut beams. Position dependence of two vortex beams induces the spatially modulated coherence at the condition of resonance, which enables us to obtain space-dependent absorption, transparency, gain without inversion (GWI), and refractive index enhancement in the present scheme. The azimuthal modulation of coherence effects is attributed to the presence of optical angular momentum of the vortex beams. Under the influence of an additional travelling wave field with the presence of two vortex beams, the present model leads us to obtain an ultra-large enhancement of refractive index at the resonant detuning of the fields. This phenomenon makes the atom-field system to play the equivalent role of a high-refractive-index prism. The role of near dipole–dipole (NDD) interaction on the modulation of position-dependent coherence effects has also been investigated. It has been shown that, without any inclusion of the travelling wave field in the system, the phenomenon of resonant enhancement of refractive index may also occur in the presence of NDD effect. The new way of generating spatially controlled GWI and nonlinear refractive index enhancement is specific to the present model. This work seems to be useful for finding its applications in spatially modulated coherence controlled electromagnetically induced transparency-based quantum devices like quantum optical memory, switches, and quantum logic gates, where the refractive index switching phenomenon is a prerequisite.
This paper investigates the interaction dynamics of a four-level tripod-type atomic system coupled to a q-deformed binomial field state within a Kerr-medium. The interaction model incorporates time-dependent coupling parameter and detuning parameter, providing a more adaptable framework for describing atom-field interactions. Special focus is placed on examining how the q-deformation, time-dependent coupling parameter, detuning parameter and Kerr nonlinearity affect the system's fidelity properties and linear entropy dynamics. Our results demonstrate that the effects of the considered parameters have a significant impact on atom-field entanglement and fidelity. These findings offer valuable insights into controlled quantum systems, with potential applications in quantum information processing and nonlinear quantum optics.
Abstract In this article, Spin density and Torque of two interfering waves are controlled and manipulated by applying two interacting control fields in which one is the Kerr field with Rabi frequency Ω2 and a probe field using a four-level N-type atomic configuration of Rubidium-87 isotope. The spin density of light can be controlled coherently in the atomic medium by electromagnetically induced transparency (EIT). When the strong interacting control fields and the weak probe field are applied to the atomic medium, the Rubidium atoms become transparent to the probe field. It is due to the control fields that ”dress” the atoms, creating a new energy state that the weak probe field can interact with. As a result, the weak probe field can pass through the Rubidium atomic medium without being absorbed. Substantial variations can be seen in the electric SAM and Torque of two interfering waves with variations in the angle β between the two interfering waves, the Rabi frequencies of the control fields, the detuning of the probe field, and the phase difference δϕ between waves. By introducing these changes of parameters in the atomic medium, the spin density of two interfering waves can be made to rotate in a specific direction or at a specific rate. The parameters of control fields and probe field detuning play an essential role in the modification of electric SAM and electric spin vector field distribution of the probe field. The modified work of this manuscript is useful for Quantum computing, Optical communication, Quantum information processing.