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Physical Review A

Nonlinear dynamics of coupled light and particle beam propagation

Prabhat Kumar, Derek Kuldinow, Andres M. Castillo, Alexandros Gerakis, Kentaro Hara

Published Apr 2, 2021• 5 citations
Publisher

Abstract

Propagation of a light beam through a collisional and inhomogeneous beam of neutral particles is investigated. The light beam can be manipulated through the refractive index that is affected by the gaseous medium. Simultaneously, neutral particles experience optical dipole force and scattering force due to atomic polarizability, leading to particle trapping. The simulation results of fully coupled light-particle propagation show agreement with experimental data from the literature. The effects of particle density, detuning frequency with respect to the resonance frequency, and light intensity on the mutual guiding of light and particle beams is studied for particle beam densities below the critical density that results in single-mode operation of optical waveguides.

DOI
10.1103/physreva.103.043502

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Propagation of a light beam through a collisional and inhomogeneous beam of neutral particles is investigated. The light beam can be manipulated through the refractive index that is affected by the gaseous medium. Simultaneously, neutral particles experience optical dipole force and scattering force due to atomic polarizability, leading to particle trapping. The simulation results of fully coupled light-particle propagation show agreement with experimental data from the literature. The effects of particle density, detuning frequency with respect to the resonance frequency, and light intensity on the mutual guiding of light and particle beams is studied for particle beam densities below the critical density that results in single-mode operation of optical waveguides.
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.
The motion of neutral, polarizable atoms (also called neutral particles in this work) in the field of the Bessel beam is considered. It is shown in the numerical way that the Bessel rings, i.e., the regions of high energy concentration, can trap particles of positive polarizability (atoms in red-detuned beams). This trapping occurs only in the plane perpendicular to the wave propagation, and the motion along the beam is unrestricted. When the beam is superposed with the plane wave of the same frequency propagating in the same direction, the particles are guided along helices, fixed in space. The shape of these helices depends on the parameters characterizing the electromagnetic fields but not on the initial state of guided particles. Depending on the vorticity of the Bessel beam, these helices can be made left- or right-handed. In the special case of zero vorticity, the helices are degenerated to the true, three-dimensional rings, which can serve as three-dimensional traps. The emerging structure of potential valleys can be applied to parallel guidance or capture several independent atoms, each in its own trap.
We present the theoretical model of coherent interactions of the light beams in a two-level resonant medium, taking into account a spatial-periodic modulation of the parameters of nonlinear medium in an interference field as well as nonlinear behavior of refractive index and absorption coefficient due to optical bleaching. As evidenced by the results of investigations described in this work, the process of light beams interaction via scattering from dynamically-induced optical gratings in two-level resonant medium is characterized by a number of interesting features like mutual attraction and repulsion, irradiation of additional beams probably due to soliton-soliton diffraction mode, formation of dark spatial solitons in the mode of defocusing interaction that can be used for all-optical control over the spatial structure of laser beams
Atom traps Light forces It is well known that a light beam carries momentum and that the scattering of light by an object produces a force. This property of light was first demonstrated by Frish [139] through the observation of a very small transverse deflection (3 × 10 –5 rad) in a sodium atomic beam exposed to light from a resonance lamp. With the invention of the laser, it became easier to observe effects of this kind because the strength of the force is greatly enhanced by the use of intense and highly directional light fields, as demonstrated by Ashkin [20, 21] with the manipulation of transparent dielectric spheres suspended in water. The results obtained by Frish and Ashkin raised the possibility of using light forces to control the motion of neutral atoms. Although the understanding of light forces acting on atoms was already established by the end of the 1970s, unambiguous demonstration of atom cooling and trapping was not accomplished before the mid 1980s. In this section we discuss some fundamental aspects of light forces and schemes employed to cool and trap neutral atoms. The light force exerted on an atom can be of two types: a dissipative, spontaneous force and a conservative, dipole force. The spontaneous force arises from the impulse experienced by an atom when it absorbs or emits a quantum of photon momentum.