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STOCHASTIC MODEL FOR THE NUMBER OF ATOMS IN A MAGNETO-OPTICAL TRAP

Published online by Cambridge University Press:  06 March 2006

Andrew L. Rukhin  and
Ionut Bebu
Andrew L. Rukhin
Affiliation:
National Institute of Standards and Technology, and, University of Maryland at Baltimore County, Baltimore, MD 21250, E-mail: rukhin@math.umbc.edu
Ionut Bebu
Affiliation:
National Institute of Standards and Technology, and, University of Maryland at Baltimore County, Baltimore, MD 21250, E-mail: rukhin@math.umbc.edu
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Abstract

In this article a Markov chain for the distribution of single atoms is suggested and studied. We explore a recursive model for the number of atoms present in a magneto-optical trap under a feedback regime with a Poisson-distributed load. Formulas for the stationary distribution of this process are derived. They can be used to adjust the loading rate of atoms to maximize the proportion of time that a single atom spends in the trap. The (approximate) optimal regime for the Poisson loading and loss processes is found.

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 20 , Issue 2 , April 2006 , pp. 351 - 361
Copyright
© 2006 Cambridge University Press

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References

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