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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Vol. 1, Iss. 1 — Mar. 1, 1984
  • pp: 111–115

Laser cooling of trapped ions: dynamics of the final stages

J. Javanainen, M. Lindberg, and S. Stenholm  »View Author Affiliations


JOSA B, Vol. 1, Issue 1, pp. 111-115 (1984)
http://dx.doi.org/10.1364/JOSAB.1.000111


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Abstract

We present a master equation that describes the dynamics of laser cooling of a trapped ion. It is valid in the Lamb–Dicke limit and rests on an adiabatic elimination combined with a degenerate perturbation treatment. It describes relaxation of probabilities and coherences in the harmonic-trap degrees of freedom. The eigenvalue spectrum the of the time-evolution operator is derived, and it follows that only one zero eigenvalue exists, giving the unique steady-state probability distribution. The coherences all decay to zero with time. The ultimate steady state is distribution, which can be characterized by a temperature. We also report a numerical calculation that a Planck supports our analytical work. The final energy of the cooling is given and discussed. Finally there is a comparison between the present results and our earlier, approximate, treatments.

© 1984 Optical Society of America

Citation
J. Javanainen, M. Lindberg, and S. Stenholm, "Laser cooling of trapped ions: dynamics of the final stages," J. Opt. Soc. Am. B 1, 111-115 (1984)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-1-1-111

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