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Claude Cohen-Tannoudji developed methods for controlling atomic internal states and motion with light. With Jean Dalibard, he explained how polarization gradients produce laser cooling below the simple Doppler cooling limit.

The essential link is between a spatially changing atomic light shift and state-changing optical pumping. The pumping delays let moving chemical atoms lose kinetic energy through repeated transitions between different light-shift potentials. This supplied a microscopic explanation for unexpectedly low experimental temperatures.^[ref]

Jean Dalibard developed, with Claude Cohen-Tannoudji, models explaining laser cooling below the simple Doppler cooling limit. Spatially changing wave polarization makes the light shifts of atomic sublevels vary with position.

In Sisyphus cooling, moving chemical atoms climb a light-shift potential and are optically pumped into a lower-energy sublevel. Repeating that sequence removes kinetic energy. The mechanism depends on internal-state structure and optical pumping, explaining why a two-level Doppler model misses the additional cooling.^[ref]

Awarded in equal thirds to Steven Chu, Claude Cohen-Tannoudji and William D. Phillips for developing methods to cool and trap chemical atoms using lasers.^[ref]

Polarization-gradient cooling uses spatial variation in electromagnetic polarization together with optical pumping between internal quantum states to cool moving chemical atoms.

Jean Dalibard and Claude Cohen-Tannoudji distinguish cooling by changing elliptical polarization from cooling by rotating linear polarization. The hill picture below concerns the former.^[ref]

The 1988 experiment loaded sodium optical molasses from a slowed atomic beam. After stopping loading, a shutter extinguished the six cooling beams. Released atoms crossed a lower probe; a photomultiplier recorded fluorescence versus arrival time. Calculations integrated the measured initial cloud distribution and an assumed three-dimensional Maxwell-Boltzmann distribution, including gravity and detection geometry. The minimum was $43\pm 20\mu \mathrm{K}$, versus the $240\mu \mathrm{K}$ Doppler cooling limit.^[ref]

Probe separation, probe intensity, cloud density and shutter timing were varied. Fountain-height, horizontal-spreading and release/recapture measurements also gave below-limit results. Geometry remained an uncertainty; agreement among complementary thermometers made a detector artifact less plausible. These measured released atoms, rather than an in-situ velocity distribution.^[ref]

Steven Chu's account connects the explanation to optical pumping, Stark effect shifts and spatially changing electromagnetic polarization; Claude Cohen-Tannoudji's lecture separates this mechanism from subrecoil schemes. Their lectures and William D. Phillips's describe complementary experimental and theoretical routes.^[ref][ref]