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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Vol. 2, Iss. 11 — Nov. 1, 1985
  • pp: 1743–1750

Dynamics of trapped particle cooling in the Lamb–Dicke limit

Stig Stenholm  »View Author Affiliations


JOSA B, Vol. 2, Issue 11, pp. 1743-1750 (1985)
http://dx.doi.org/10.1364/JOSAB.2.001743


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Abstract

This paper reviews our current understanding of the dynamics of a laser-cooled trapped particle in the Lamb–Dicke regime, where the quantum structure of the energy levels cannot be ignored. The derivation and validity of a master equation are surveyed, and its physical interpretation is discussed in some detail. The structure and physical nature of the ultimate steady state are discussed. Using a generating function method, we can solve for both the complete eigenvalue spectrum and the general time-dependent solution of the master equation. These results are derived and interpreted physically. They have earlier been scattered in our various publications and are presented here in a coherent way for the first time. Also included are some new results and a physical discussion of the situation. The paper concludes with a discussion of the validity and limitations of the model as treated so far.

© 1985 Optical Society of America

History
Original Manuscript: April 8, 1985
Manuscript Accepted: July 2, 1985
Published: November 1, 1985

Citation
Stig Stenholm, "Dynamics of trapped particle cooling in the Lamb–Dicke limit," J. Opt. Soc. Am. B 2, 1743-1750 (1985)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-2-11-1743


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