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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.

Information

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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