Doppler cooling to the recoil limit using sharp atomic transitions

Details Doppler cooling to the recoil limit using sharp atomic transitions Doppler cooling to the recoil limit using sharp atomic transitions

2002-07-23

arxiv.org/abs/quant-ph/0207133v1

J. Opt. Soc. Am. B 20, 931-936 (2003)

Physics

Quantum Physics

5 pages, RevTex 4, submitted to JOSA B (special issue "laser cooling of atoms")

Scientific paper

10.1364/JOSAB.20.000931

In this paper, we develop an analytical approach to Doppler cooling of atoms by one- or two-photon transitions when the natural width of the excited level is so small that the process leads to a Doppler temperature comparable to the recoil temperature. A ``quenching'' of the sharp line is introduced in order to allow control of the time scale of the problem. In such limit, the usual Fokker-Planck equation does not correctly describe the cooling process. We propose a generalization of the Fokker-Planck equation and derive a new model which is able to reproduce correctly the numerical results, up to the recoil limit. Two cases of practical interest, one-photon Doppler cooling of strontium and two-photon Doppler cooling of hydrogen are considered.

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