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Stationary Distributions in the Atom-on-Demand Problem

Published

Author(s)

I Bebu, Andrew L. Rukhin

Abstract

In this note a probability model for the number of atoms in a magneto-optical trap is suggested. We study an ergodic Markov Chain for the number of atoms in the trap under a feedback regime for different load distributions. Formulas for the stationary distribution of the process are derived in several cases. They can be used to adjust the loading rate of atoms to maximize the probability of a single atom in the trap. The (approximate) optimal regimes are also found.
Citation
Probability in Engineering and Physical Sciences
Volume
76
Issue
15

Keywords

binomial distribution, geometric distribution, geometric ergodicity, Poisson distribution, stationary distribution

Citation

Bebu, I. and Rukhin, A. (2006), Stationary Distributions in the Atom-on-Demand Problem, Probability in Engineering and Physical Sciences, [online], https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=150359 (Accessed April 23, 2024)
Created August 31, 2006, Updated October 12, 2021