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Physical Review A

Calculation of enhanced slowing and cooling due to the addition of a traveling wave to an intense optical standing wave

D. Gottesman, Jeffrey Mervis, Mara Goff Prentiss, N. P. Bigelow

Published Jul 1, 1992• 1 citation
Publisher

Abstract

We investigate the force on a two-level atom interacting with intense monochromatic laser fields which are combinations of standing and traveling waves. We present a continued-fraction solution to the optical Bloch equations. Using this solution to calculate the force on an atom, we have examined the slowing and cooling of a thermal Na atomic beam. We find that the addition of a traveling wave to an intense standing wave can significantly improve the slowing rate and simultaneously decrease the final velocity of the cooled beam.

DOI
10.1103/physreva.46.356

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We investigate the force on a two-level atom interacting with intense monochromatic laser fields which are combinations of standing and traveling waves. We present a continued-fraction solution to the optical Bloch equations. Using this solution to calculate the force on an atom, we have examined the slowing and cooling of a thermal Na atomic beam. We find that the addition of a traveling wave to an intense standing wave can significantly improve the slowing rate and simultaneously decrease the final velocity of the cooled beam.
We have demonstrated a new slowing and cooling technique which uses a standing-wave laser field collinear with a thermal Na atomic beam to produce a continuous supply of slow atoms, with most probable velocities ranging from -40 to + 80 m/sec. The velocity spread can be \ensuremath{\sim}10 m/sec (150 mK), the density >108{>10}^{8}>108, and the peak density in phase space \ensuremath{\sim}100 times that at the peak of the original Maxwell-Boltzmann distribution.
We have examined the mechanical effects of light on a three level atom. A single excited state decays to two long-lived ground states. One of the transitions is driven by an intense standing wave, while the other is driven by a traveling wave. We examine this system using analytical and computational techniques, and compare with experimental observations of {sup 7}Li. In the absence of the second ground state and laser field, the atom can be cooled by the familiar two level dipole force. In the three level system, the dipole force cooling mechanism is still present, and can be considerably enhanced. As in the two level system, the cold three level atoms are channeled, or localized in space with respect to the standing wave. In the three level case, the atoms can be channeled in the second ground state, even though that state interacts only with the traveling wave laser, which has no spatial structure. We will discuss applications of the three level cooling force to atomic beam slowing experiments, and the attainment of ultra-cold final temperatures using adiabatic cooling.
A new method is proposed for laser cooling atoms with Doppler shifts an order of magnitude larger than the homogeneous linewidth of the atomic transition. Two traveling waves cross at a small angle and form standing waves whose wavelength is much longer than that of either traveling wave. This allows one to extend the region in which the laser cooling force is proportional to velocity. The resulting broadband stimulated cooling forces are predicted to stop 0.1% of the flux of a 500-K atomic sodium beam in a distance of 300 μm and a time of a few microseconds. This is more than 100 times faster than current methods. Numerical integration and the method of Gordon and Ashkin have been used to calculate the cooling forces which result when two traveling waves cross at an angle 2a. The stimulated cooling forces are reduced in intensity by sin2a but are proportional to velocity over an interval which is larger by 1/sin a. This allows one to stop a substantial fraction of an atomic beam without chirping the laser or Zeeman tuning the atoms.
As a theoretical background for an ongoing experiment on longitudinal cooling of an energetic atomic beam by an intense laser field, we generalize the dressed-atom description of the atom–laser interaction from a two-level to a multilevel system. Expressions are presented for the average force on the atom, in particular in the limits of high and low velocities with respect to a standing wave, and the influence of fluctuations is studied through a Monte Carlo simulation. Appreciable cooling is predicted for a beam of 200-eV neon atoms traversing a 75-cm-long resonator in which the energy density is maintained by two 0.5-W cw lasers.