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arXiv:cond-mat/0008479 · Physical Review A

Toroidal optical dipole traps for atomic Bose-Einstein condensates using Laguerre-Gaussian beams

Ewan M. Wright, Jochen Arlt, Kishan Dholakia

Published Dec 12, 2000• 161 citations
arXivHTMLPDF

Abstract

We theoretically investigate the use of red-detuned Laguerre-Gaussian (LG) laser beams of varying azimuthal mode index for producing toroidal optical dipole traps in two-dimensional atomic Bose-Einstein condensates. Higher-order LG beams provide deeper potential wells and tighter confinement for a fixed toroid radius and laser power. Numerical simulations of the loading of the toroidal trap from a variety of initial conditions are also given.

DOI
10.1103/physreva.63.013608

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We theoretically investigate the use of red-detuned Laguerre-Gaussian (LG) laser beams of varying azimuthal mode index for producing toroidal optical dipole traps in two-dimensional atomic Bose-Einstein condensates. Higher-order LG beams provide deeper potential wells and tighter confinement for a fixed toroid radius and laser power. Numerical simulations of the loading of the toroidal trap from a variety of initial conditions are also given.
Summary form only given. The production of tight toroidal traps, or rings, for Bose-Einstein condensates (BECs) opens up the way to a variety of both fundamental and applied studies. By providing tight transverse confinement one can produce a quasi-one-dimensional motion for the BEC on a ring, which allows for studies of vortices and persistent currents. On the applied side, such mesoscopic rings could be used for rotation sensing via the Sagnac effect for counter-propagating atoms around the ring. In this paper, we show that Laguerre-Gaussian (LG) laser modes of high azimuthal mode index l and containing one radial ring can be used to create tight confined optical dipole traps for 2D BECs.
Laser cooling and trapping has led to a revolution in Atomic and Molecular physics. Optical traps created with blue-detuned laser beams are desired for numerous studies. One method of creating such a trap is with Laguerre-Gaussian laser beams. Laguerre-Gaussian (LG) laser beams are interesting because of their orbital angular momentum and radial intensity modes. Previous methods of creating higher-order LG beams did not yield pure LG modes. In collaboration with Digital Optics Corporation diffraction optics have been manufactured that yield higher-order LG laser beams with purities consistent with 100% of the intensity in the desire mode. We then create a donut-mode LG beam with this method to confine atoms from a MOT in both a blue-detuned and a red-detuned optical dipole force trap.
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.
•Our trap is generated from the AC Stark effect induced by a laser in higherorder Laguerre-Gaussian modes detuned both to the red and blue of the resonance frequency. • Common practice is to make an harmonic expansion about the outer node of the LG geometry. •Here, we compare the effects of including the potential in its entirety. •We present experimental results for a Bose gas trapped in the LG dipole trap. •A dipole trap is arises from the AC Stark effect, whose potential takes the form:
We report on our progress towards realization of a toroidal trap for Bose-Einstein condensates (BECs) of 87Rb using a time-averaged optical dipole potential. To achieve BEC we utilize a 20 W laser operating at 1064 nm to form an optical dipole trap in which we evaporatively cool the gas. Loading of the dipole trap is achieved by overlapping the dipole beams with a standard magnetic optical trap. Evaporative cooling is first performed in a single beam trap, followed by compression and additional confinement with a second orthogonal beam. This prevents stagnation of the evaporative cooling cycle, and allows the gain of 105 in phase space density necessary to achieve quantum degeneracy.
We report on our progress towards realization of a toroidal trap for Bose-Einstein condensates (BECs) of 87Rb using a time-averaged optical dipole potential. To achieve BEC we utilize a 20 W laser operating at 1064 nm to form an optical dipole trap in which we evaporatively cool the gas . Loading of the dipole trap is achieved by overlapping the dipole beams with a standard magnetic optical trap. Evaporative cooling is first performed in a single beam trap, followed by compression and additional confinement with a second orthogonal beam. This prevents stagnation of the evaporative cooling cycle, and allows the gain of 105 in phase space density necessary to achieve quantum degeneracy.