Coakley, K.
(2007),
Optimal Ion Trapping Experiment, Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)
(Accessed May 17, 2024)
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Optimal Ion Trapping Experiment
Published
Author(s)
Abstract
In each run of an experiment, ions are confined in a trap for duration {\tau}. After the trapping stage, ions are purged and detected. The detector provides incomplete information because it goes dead after detecting the first trapped ion. There is a dead time {\delta} between the end of the trapping stage in one run and the beginning of the next trapping stage in the next run. Based on the fraction of runs where no ions are detected, I estimate the trapping rate {\lambda} by the method of maximum likelihood. I present asymptotically valid formulas for the bias, variance, and mean-square-error of this maximum likelihood estimate computed from a subsample of all possible realizations of the data. This subsample excludes an exceedingly rare realization of the data that yields an infinite estimate. Based on nominal values of {\lambda} and the dead time {\delta}, I determine the optimal trapping stage duration {\tau} by minimizing the mean-square-error of the estimate.Citation
Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)
Pub Type
Journals
Keywords
ion traps, probability theory, statistics
Citation
Issues
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Created May 10, 2007, Updated February 17, 2017