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Journal of King Saud University - Science

Bottle atom trapping configuration by optical dipole forces

Omar Marzook Al-Dossary

Published Aug 22, 2013• 23 citations
Publisher

Abstract

The bottle beam configuration is a light field created by the interference of a pair of Laguerre–Gauss light beams with zero orbital angular momentum. In this work we show the theoretical study of the bottle beam as well as the use of this beam for the creation of a novel atom optical dipole trap namely the bottle atom trap. In such a trap the resulting dark trapping region is three-dimensional and has a cylindrical symmetry. These promising results show that this trap is a nice candidate for trapping Bose–Einstein condensates and may serve as an optical tweezer mechanism potentially useful for trapping micron-sized dielectric particles.

DOI
10.1016/j.jksus.2013.08.002

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•Jul 21, 2023•0 citations
The bottle beam configuration is a light field created by the interference of a pair of Laguerre–Gauss light beams with zero orbital angular momentum. In this work we show the theoretical study of the bottle beam as well as the use of this beam for the creation of a novel atom optical dipole trap namely the bottle atom trap. In such a trap the resulting dark trapping region is three-dimensional and has a cylindrical symmetry. These promising results show that this trap is a nice candidate for trapping Bose–Einstein condensates and may serve as an optical tweezer mechanism potentially useful for trapping micron-sized dielectric particles.
Optical tweezers technique has aggrandized the light-matter interaction, whereby researchers have employed light forces from colloidal sciences to biomedical applications. There have been constant quests to integrate novel beams in tweezers system for myriads of novel applications. In this paper, we report optical tweezers system based on self-imaged optical bottle beams, which has some distinct advantages over other conventional beams like Gaussian, Laguerre-Gaussian and Bessel beams in few applications. A self-imaged bottle beam is obtained by superimposing two Bessel beams with varying radial wavevectors. A self-imaged bottle beam possesses three-dimensional intensity-null points along the propagation axis and by varying the radial wavevectors of the Bessel beams number of bottles; location of bottles and the dimension of the bottles can be pre-determined. Moreover, by dynamically varying the parameters of radial wavevector of interfering Bessel beams, the dynamic potential-well obtained are capable of transporting both high and low indices microparticle in conveyor-belt arrangement along the longitudinal axis. Bottle beams belongs to the family of propagation-invariant beams and hence inherent the propagation-invariance and self-reconstruction properties of Bessel beam together with three-dimensional trapping potential contrary to Bessel beam whereby the particles trapped in the central core are loosing defined in the longitudinal axis. Such bottle beams also holds promise applications in blue-detuned optical taps for the optical confinement of laser-cooled atoms in three-dimensional dark region.
We present an efficient three-dimensional dark-focus optical trapping potential for neutral atoms and Bose-Einstein condensates. This ``optical bottle'' is created by a single blue-detuned light field exploiting the phenomenon of conical refraction occurring in biaxial crystals. The conversion of a Gaussian input beam to the bottle beam has an efficiency of close to 100% and the optical setup requires the addition of the biaxial crystal and a circular polarizer only. Based on the conical-refraction theory, we derive the general form of the potential, the trapping frequencies, and the potential barrier heights. We present experiments on confining a 87Rb^{87}\mathrm{Rb}87Rb Bose-Einstein condensate in three dimensions. We determine the trap shape, the vibrational frequencies along the weak axis, as well as the lifetime of ultracold atoms in this type of potential.
We analyze the resonant cavity enhancement of a hollow ``optical bottle beam'' for the dipole-force trapping of dark-field-seeking species. We first improve upon the basic bottle beam by adding further Laguerre-Gaussian components to deepen the confining potential. Each of these components itself corresponds to a superposition of transverse cavity modes, which are then enhanced simultaneously in a confocal cavity to produce a deep optical trap needing only a modest incident power. The response of the trapping field to displacement of the cavity mirrors offers an unusual form of mechanical amplifier in which the Gouy phase shift produces an optical Vernier scale between the Laguerre-Gaussian beam components.
Optical tweezers system has aggrandized the understanding of the light-matter interaction and is used frequently to transfer angular momentum of light to microscopic particles. Here we demonstrate experimentally, for the first time to our knowledge the use of self-imaged bottle beam in an optical tweezers system and we report the mechanical transfer of 'pure' on-axis spin angular momentum to an absorptive particle. The self-imaged bottle beam has embedded optical bottles or null intensity points where the absorptive particles are trapped and the transfer of spin angular momentum is accomplished without the default transfer of orbital angular momentum of a singular beam, which are used conventionally to trap absorptive particles.
We investigate theoretically an original route to achieve Bose-Einstein condensation using dark power-law laser traps. We propose to create such traps with two crossing blue-detuned Laguerre-Gaussian optical beams. Controlling their azimuthal order $\ensuremath{\ell}$ allows for the exploration of a multitude of power-law trapping situations in one, two, and three dimensions, ranging from the usual harmonic trap to an almost square-well potential, in which a quasihomogeneous Bose gas can be formed. The usual cigar-shaped and disk-shaped Bose-Einstein condensates obtained in a 1D or 2D harmonic trap take the generic form of a ``finger'' or of a ``hockey puck'' in such Laguerre-Gaussian traps. In addition, for a fixed atom number, higher transition temperatures are obtained in such configurations when compared with a harmonic trap of the same volume. This effect, which results in a substantial acceleration of the condensation dynamics, requires a better but still reasonable focusing of the Laguerre-Gaussian beams.
A novel optical set-up which enables cold atoms to be trapped in a finite set of miniature (sub-wavelength) bottle traps is highlighted. These bottle traps are formed when the atoms interact with a tightly focused standing wave due to two-counter propagating optical vortex beams possessing the same winding number ℓ=±1\ell=\pm1ℓ=±1 and the same circular polarization (σ=∓1)\sigma=\mp 1)σ=∓1). Tight focusing generates strong longitudinal field components which become responsible for an on-axis standing wave. The resulting optical potential leads to the axial confinement of far blue-detuned atoms. This completes the formation of the bottle trap, since the off-axis radial confinement is, as usual, provided by the optical potential due to the interference of the transverse components of the light. The main characteristics of the bottle traps are illustrated using typical experimentally-accessible parameters. Due to the spin-orbit coupling the trap parameters are tunable by changing the ellipicity of the light.