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Journal of the Optical Society of America B

Transverse cooling and deflection of an atomic beam inside a Zeeman slower

Michael A. Joffe, Wolfgang Ketterle, Alex Martin, David E. Pritchard

Published Dec 1, 1993• 75 citations
Publisher

Abstract

We demonstrate the combined slowing and transverse cooling of a sodium atomic beam. Atoms have been slowed in a Zeeman slower with increasing magnetic field and transversely cooled by two-dimensional optical molasses inside the slower. The transverse molasses increases the brightness of the slow beam and allows it to be deflected out of the intense slowing laser light.

DOI
10.1364/josab.10.002257

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We demonstrate the combined slowing and transverse cooling of a sodium atomic beam. Atoms have been slowed in a Zeeman slower with increasing magnetic field and transversely cooled by two-dimensional optical molasses inside the slower. The transverse molasses increases the brightness of the slow beam and allows it to be deflected out of the intense slowing laser light.
Abstract We present a thorough analysis of a Zeeman slower for sodium atoms made of permanent magnets in a Halbach configuration. Due to the orientation of the magnetic field, the polarization of the slowing laser beam cannot be purely circular, leading to optical leakages into dark states. To circumvent this effect, we propose an atomic state preparation stage that is able to significantly increase the performance of the Zeeman slower. After a careful theoretical analysis of the problem, we experimentally implement an optical pumping stage leading to an increase in the magneto-optical trap loading rate by 3.5. Such a method is easy to set up and could be extended to other Zeeman slower architectures.
We have built a Zeeman-slower apparatus which produces a slow and cold cesium atomic beam. The atomic beam has a mean velocity in the range 35--120 m/s and a high atomic current of more than $2\ifmmode\times\else\texttimes\fi{}{10}^{10}$ cold atoms/s. A small longitudinal velocity spread was achieved by optimizing the termination of the slowing process. The measured value of less than 1 m/s is consistent with a numerical simulation of the slowing process. With a magnetic lens and a tilted two-dimensional optical molasses stage, the slow atomic beam is transversely compressed, collimated, and deflected. We achieve a transverse temperature below the Doppler limit. The brilliance of this beam has been determined to be $7\ifmmode\times\else\texttimes\fi{}{10}^{23}$ atoms ${\mathrm{s}}^{\ensuremath{-}1}{\mathrm{m}}^{\ensuremath{-}2}$ ${\mathrm{sr}}^{\ensuremath{-}1}.$ By optical pumping the slow atomic beam can be polarized in the outermost magnetic substates ${F=4,m}_{F}=\ifmmode\pm\else\textpm\fi{}4,$ of the cesium ground state. This brilliant beam is an ideal source for experiments in atom optics and atom lithography.
A sodium atomic beam has been decelerated and laser cooled to a longitudinal beam temperature of less than 30 mK. Subsequently these slow atoms with a typical velocity of 100 m/sec were selectively deflected by laser-light forces. The deflection angle was typically 30°. The deflection scheme permits a stabilization of the transverse velocities in the deflected atomic beam down to the quantum-limit temperature for one dimension (0.7 × 240 μK). The experimentally achieved temperatures are of the order of 1 mK.
We have developed a new scheme to produce a dense trap of sodium atoms in the magneto-optical trap using the transition of F=1 to F'=0 states. In a conventional Zeeman slower a bias magnetic field is applied in the deceleration region to prevent the optical pumping to the F=1 state, so that sodium atoms interact with the cooling radiation of F=2 to F'=3. As a result, many of slow atoms in the F=2 state continue to decelerate adiabatically even at the exit of the solenoid and remain inside the magnetic field. However, slow atoms could be extracted outside the magnetic field, if they are transferred to the F=1 state by the optical pumping via the F'=2 state. Therefore, we reduced the strength of the bias magnetic field. We trapped the slow sodium atoms in the F=1 state directly in the magneto-optical trap.
The general features of optical molasses,1 continuously loaded with slow sodium atoms, are described. Three orthogonal pairs of counterpropagating laser beams, tuned slightly below resonance, capture and viscously confine the slow atoms which are produced continuously by a Zeeman tuned laser-cooled atomic beam.2 The continuous loading of this molasses region is further enhanced by using optical depumping techniques (optically pumping the atoms out of the cooling cycle with another laser) to extract more slow atoms from the beam than are otherwise available. Results from simple analytic theories and Monte Carlo simulations of the molasses are compared to the experimental findings. In particular, we look at the molasses lifetime as a function of beam imbalance and laser frequency. Although some features of the molasses can be explained (in particular at low intensity) many discrepancies are noted. One most obvious of these is the relative insensitivity of the lifetime to intensity imbalance, the discrepancy being at least an order of magnitude in added rate.
We report a new cooling scheme used to actively collimate an atomic beam of 85Rb^{85}\mathrm{Rb}85Rb with one-dimensional optical molasses. The atoms' transverse velocity is damped by a standing wave of circularly polarized light in a magnetic field of \ensuremath{\sim}20 \ensuremath{\mu}T to 2 cm/s (rms), well below the Doppler velocity vD{v}_{D}vD​=(7\ensuremath{\Elzxh}\ensuremath{\gamma}/20M)1/2{)}^{1/2})1/2\ensuremath{\sim}10 cm/s for one-dimensional optical molasses. The minimum measured velocity is limited only by the experimental geometry. We have developed a model in which the mixing by the field and optical pumping combine to form a cycle that cools below the Doppler limit, in agreement with our measurements.