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Annual Meeting Optical Society of America

Transverse magneto-optical compression of a frequency-chirping, slowed cesium atomic beam

Jia Yu, J. Djemaa, P. Nosbaum, P. Pillet

Published Jan 1, 1993• 0 citations

Abstract

We have transversally compressed a monokinetic cesium atomic beam in a 2D MOT1,2 on the F=4→F′=5 transition of the cesium IX, line. The longitudinal cooling was obtained by frequency-chirped diode lasers.3 Preliminary results have been obtained showing a final diameter of about 50pm and a density of 108at./cm3. We have studied the specificities of a multi-V system as the transition F=4→F′=5 in the cesium atom. Originally proposed for a three-level V-type atomic system4, the process can be easily generalized to F→F+1 (F>=1) transitions. In this case, the atom is assumed to be polarized into the Zeeman sub-level Mf=-F with respect to the local magnetic field inside of the trap. For a non-polarized statistic mixture, two effects modify the compression process. The first one is due to the large variation in the Clebsch-Gordan coefficients.3 The second one comes from the difference between the Larmor frequencies associated to the lower and the upper levels. The both effects lead to a mF-dependent restoring force. Efficient compression can be obtained by preparing the atomic population in the “good” Zeeman sub-levels, |MF|=F. Two methods have been explored in our experiments to polarize the atomic beam. The first one used an additional blue-detuned laser beam to increase the atomic population in the |MF|=f Zeeman sub-levels by optical pumping. In the second one, the σ-polarized cooling laser beam orientated the atomic population in the axial direction during the slowing process. This orientation was adiabatically transformed into transversal ones by entering in the trap. Further experiments are in progress.

DOI: 10.1364/oam.1993.thdd.18

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The results of two experiments involving the rapid frequency modulation of diode lasers are presented. In the first experiment, a cesium beam of 10('14) atoms/sec is produced with more than 98% of the atoms in a single spin state. The beam is polarized by optically pumping it with a single diode laser whose frequency is switched between the 6s(F = 4)-6p(,3/2)(F = 5) and 6s(F = 3)-6p(,3/2)(F = 4) transitions at 100 kHz. To do this, the frequency response of a diode laser to changes in injection current was first determined and the injection current modified to force a jump of 9.2 GHz in 1.5 (mu)sec. The same laser is used to probe the atomic population distribution simultaneously. In the second experiment, two diode lasers, tuned to the 6s(F = 4)-6p(,3/2)(F = 5) and 6s(F = 3)-6p(,3/2)(F = 4) transitions, are used to cool and stop a beam of cesium atoms. The laser frequencies are swept to keep them in resonance with the slowing atoms. The same lasers are used to probe the resulting velocity distribution. More than 10('10) atoms/sec are slowed to a velocity of 0 (+OR-) 15 m/sec, corresponding to a temperature of 1(DEGREES)K. Both of these experiments demonstrate extremely simple and inexpensive ways to manipulate atomic cesium.

We consider the propagation of an atomic beam in a quadrupole magnetic field under transverse irradiation by a cooling laser field. The cooling laser field was chosen in the form of a two-dimensional σ + -σ − configuration. We show that the sub-Doppler resonance in the radiation force can be used to reduce the diameter of the atomic beam to a value on the order of 10 mm. We establish that the simultaneous transverse cooling and compression of the atomic beam allow its phase density to be increased to values of the order of 10 −4 –10 −3 . The dipole interaction of an atom with the cooling and compressing laser field in a quadrupole magnetic field is analyzed in terms of a simple (3 + 5)-level model atom.

The D1 line spectrally selective pumping process in Doppler-broadened cesium is analyzed by solving the optical Bloch equations. The process, described by a three-level model with the Λ scheme, shows that the saturation intensity of broadened atoms is three orders of magnitude larger than that of resting atoms. The |Fg = 3〉 → |Fe = 4〉 resonance pumping can result in the ground state |Fg = 4, mF = 4〉 sublevel having a maximum population of 0.157 and the population difference would be about 0.01 in two adjacent magnetic sublevels of the hyperfine (HF) state Fg = 4. To enhance the anisotropy in the ground state, we suggest employing dichromatic optical HF pumping by adding a laser to excite D1 line |Fg = 4〉 → |Fe = 3〉 transition, in which the cesium magnetometer sensitivity increases by half a magnitude and is unaffected by the nonlinear Zeeman effect even in Earth's average magnetic field.

The D1 line spectrally selective pumping process in Doppler-broadened cesium is analyzed by solving the optical Bloch equations. The process, described by a three-level model with the A scheme, shows that the saturation intensity of broadened atoms is three orders of magnitude larger than that of resting atoms. The 丨Fg = 3） →丨Fe = 4） resonance pumping can result in the ground state丨Fg = 4, mF = 4） sublevel having a maximum population of 0.157 and the population difference would be about 0.01 in two adjacent magnetic sublevels of the hyperfine （HF） state Fg = 4. To enhance the anisotropy in the ground state, we suggest employing dichromatic optical HF pumping by adding a laser to excite D1 line 丨Fg = 4） → 丨Fe = 3） transition, in which the cesium magnetometer sensitivity increases by half a magnitude and is unaffected by the nonlinear Zeeman effect even in Earth＇s average magnetic field.

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.