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One can emphasize the symmetry of the atomic and optical fields by describing the process in the moving frame of the excited atoms that have absorbed one laser photon. Because the total momentum is zero in this frame, photons and atoms are emitted into opposite directions, preferentially along the long axis of the elongated cloud. Transforming back into the laboratory frame results in preferential emission of light still along the long axis but of atoms at 45°.
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The probability for reabsorption of scattered light was less than 3% and could be neglected. Optical amplification is accounted for by treating all the atoms as a single quantum mechanical system.
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0345658973
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In (3), the recoiling atoms propagated perpendicular to the long axis of the condensate. The "finite size" contribution to the Doppler broadening was therefore twice that of the present geometry.
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22
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0344364368
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note
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j, although they reduce the number of atoms in the superradiant peak by ∼50%.
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23
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Stimulated Raman scattering and four-wave mixing between matter waves [see L. Deng et al., Nature 398, 218 (1999)] may couple the different recoil modes and further affect the momentum distribution.
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This is called the coherent atomic recoil laser. See R. Bonifacio and L. De Salvo, Nucl. Instrum. Methods Phys. Res. A 341, 360 (1994); M. C. Moore and P. Meystre, Phys. Rev. A 58, 3248 (1998); P. R. Berman, ibid. 59, 585 (1999); M. C. Moore, O. Zobay, P. Meystre, http://xxx.lanl.gov/abs/cond-mat/9902293.
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0000995818
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This is called the coherent atomic recoil laser. See R. Bonifacio and L. De Salvo, Nucl. Instrum. Methods Phys. Res. A 341, 360 (1994); M. C. Moore and P. Meystre, Phys. Rev. A 58, 3248 (1998); P. R. Berman, ibid. 59, 585 (1999); M. C. Moore, O. Zobay, P. Meystre, http://xxx.lanl.gov/abs/cond-mat/9902293.
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This is called the coherent atomic recoil laser. See R. Bonifacio and L. De Salvo, Nucl. Instrum. Methods Phys. Res. A 341, 360 (1994); M. C. Moore and P. Meystre, Phys. Rev. A 58, 3248 (1998); P. R. Berman, ibid. 59, 585 (1999); M. C. Moore, O. Zobay, P. Meystre, http://xxx.lanl.gov/abs/cond-mat/9902293.
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We thank C. E. Kuklewicz for experimental assistance. D. A. Kokorowski for critical reading of the manuscript, and H. M. Gibbs, P. Meystre, J. H. Eberly, E. M. Wright, and M. S. Feld for helpful discussions. This work was supported by the Office of Naval Research, NSF, Joint Services Electronics Program (Army Research Office), NASA, and the David and Lucile Packard Foundation. A.P.C acknowledges support from NSF, D.M.S.-K. from the Joint Services Electronics Program Graduate Fellowship Program, and J.S. from the Alexander von Humboldt-Foundation.
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