Abstract
We discuss laser cooling of a trapped ion. The problem is formulated for a harmonic trapping well and one-dimensional cooling. We carry out an adiabatic elimination and a Fokker-Planck expansion in the limit of a slowly oscillating particle. The ensuing Fokker-Planck equation is discussed and solved in certain limits. Especially the final cooling stages and ultimate width are of interest. The approach is related to earlier work and its validity is discussed.
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References
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