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Precise angular deflection of thermal atomic beams by light

Mara Goff Prentiss, N. P. Bigelow

Published May 21, 1990• 0 citations
OpenAlex

Abstract

In the early 1970s, various researchers showed that the force exerted by light on an atomic beam could deflect the beam. In particular, traveling wave light perpendicular to the beam could be used to impart velocity along the wave vector k of the light.1,2 In these experiments, the angular deflection of an atom depended on the interaction time between the atom and field and thus on the longitudinal velocity of the atoms; consequently, the resulting atomic beam had an increased angular divergence. Other experiments have demonstrated that light could be used to collimate an atomic beam.3 In this experiment we show that a 1-D spontaneous optical molasses nearly perpendicular to an atomic beam can be used to both collimate and angularly deflect an atomic beam, where the deflection is insensitive to longitudinal velocity. In fact, this technique decreases rather than increases the angular divergence of the initial beam. In our experiment we started with a 300°C thermal sodium atomic beam with an angular divergence of ~10 mrad. The light was detuned by Δ ≈ − 20 MHz from the 32S1/2 → 32P3/2 transition in sodium, which corresponds to twice the natural linewidth Γ. Using 1-D molasses formed from counterpropagating light beams of the 1/e waist size of the order of 3 mm, we were able to produce an atomic beam with an ~l-mrad divergence and an angular deflection of >10 mrad. The maximum possible angular deflection θ is of the order.

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In the early 1970s, various researchers showed that the force exerted by light on an atomic beam could deflect the beam. In particular, traveling wave light perpendicular to the beam could be used to impart velocity along the wave vector k of the light.1,2 In these experiments, the angular deflection of an atom depended on the interaction time between the atom and field and thus on the longitudinal velocity of the atoms; consequently, the resulting atomic beam had an increased angular divergence. Other experiments have demonstrated that light could be used to collimate an atomic beam.3 In this experiment we show that a 1-D spontaneous optical molasses nearly perpendicular to an atomic beam can be used to both collimate and angularly deflect an atomic beam, where the deflection is insensitive to longitudinal velocity. In fact, this technique decreases rather than increases the angular divergence of the initial beam. In our experiment we started with a 300°C thermal sodium atomic beam with an angular divergence of ~10 mrad. The light was detuned by Δ ≈ − 20 MHz from the 32S1/2 → 32P3/2 transition in sodium, which corresponds to twice the natural linewidth Γ. Using 1-D molasses formed from counterpropagating light beams of the 1/e waist size of the order of 3 mm, we were able to produce an atomic beam with an ~l-mrad divergence and an angular deflection of >10 mrad. The maximum possible angular deflection θ is of the order.
We have measured the deflection of a thermal sodium beam by a force existing in a field of two counterpropagating short laser pulses. This field was created by a Π-pulse train of a mode-locked (mode) (spacing 82 MHz) dye laser beam, perpendicularly crossing a thermal sodium beam and retroreflected from a mirror behind it. Unlike the spontaneous force, this Π-pulse force is not limited by saturation effects and does not heat up the sodium beam transversally. Calculations yield a maximum Π-pulse force about three times larger than the spontaneous force, being in good agreement with our experimental results.
We report the efficient transverse deflection of all atoms in a well-collimated sodium atomic beam by the spontaneous radiation pressure of a beam of resonance light which illuminates the atomic beam at right angles. Our results are obtained using two cw single-mode dye lasers to excite the two ground-state levels of sodium; this enables all atoms to interact with the light and it also eliminates optical pumping of the ground state. We obtained deflection angles greater than 5\ifmmode\times\else\texttimes\fi{}${10}^{\ensuremath{-}3}$ rad which was ten times the divergence angle of the undeflected atomic beam; these deflections are due to the spontaneous scattering of more than 200 photons by each atom. The distribution of deflection angles is well described by a simple calculation. Fitting theory to experiment indicates that a fractional atomic excitation of 24 percent was obtained at an intensity of approximately 1 W/cm2{\mathrm{cm}}^{2}cm2. When single-frequency light was used, only a fraction of the atoms were deflected, and the deflection angles were much smaller due to optical pumping.
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.
A thermal atomic beam from a cesium oven was slowed down by use of the Hoffnagle modified white-light cooling technique. In addition, the atomic beam was collimated by use of a two-dimensional optical molasses that was installed transverse to the atomic-beam direction. The flux of the atomic beam was 2×1010 atoms/s, an increase of a factor of 16 as a result of the collimation. The mean longitudinal velocity was ∼24.4 m/s, and the rms velocity spread of the slowed atomic beam was ∼1 m/s. Compared with other methods, we found that the Hoffnagle method is suitable for the generation of slow atomic beams to be used in an atomic clock, which requires an ultralow magnetic field environment. This atomic beam was deflected by an angle of 30° by a one-dimensional optical molasses to separate it from laser light and high-velocity atoms.
The transverse cooling of a beam of sodium atoms in an axisymmetric light field formed by a reflecting axicon is studied. It is shown that transverse cooling leads to a decrease in angular divergence (collimation) of the atomic beam. The transverse velocities of the beam are reduced from 5.5 × 102 to 1.6 × 102 cm/sec, which corresponds to the decrease in effective transverse temperature of the beam from T = 42 to T = 3.3 mK. The spatial and velocity distributions of the atomic beam are calculated numerically. It is found that theory and experiment are in good agreement.