2010
DOI: 10.1103/physreva.82.061606
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Detection of small atom numbers through image processing

Abstract: We demonstrate improved detection of small trapped atomic ensembles through advanced postprocessing and optimal analysis of absorption images. A fringe removal algorithm reduces imaging noise to the fundamental photon-shot-noise level and proves beneficial even in the absence of fringes. A maximum-likelihood estimator is then derived for optimal atom-number estimation and is applied to real experimental data to measure the population differences and intrinsic atom shot-noise between spatially separated ensembl… Show more

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Cited by 99 publications
(93 citation statements)
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“…In order to reduce the shot noise in the absorption images, we use a ten times longer reference pulse. To further improve the quality of the absorption images, we apply a fringe removal algorithm [52].…”
Section: Absorption Imaging Parameters and Calibrationsmentioning
confidence: 99%
“…In order to reduce the shot noise in the absorption images, we use a ten times longer reference pulse. To further improve the quality of the absorption images, we apply a fringe removal algorithm [52].…”
Section: Absorption Imaging Parameters and Calibrationsmentioning
confidence: 99%
“…One straightforward application of this new capability is to image the spatial distribution of a molecular ensemble and, by taking images at different times, to access the phase-space distribution. Similar experiments have been used with ultracold atoms to measure their temperature [21][22][23][24]. In such experiments, the typical densities are high enough to guarantee thermalization of the ensemble, but in our experiments the densities are much too low, yet we nevertheless observe a nearly Maxwell-Boltzmann energy distribution.…”
Section: Introductionmentioning
confidence: 73%
“…In the atomic case, an atom cloud is illuminated with a laser beam tuned to a closed optical transition. To gain an image of the cloud, either the many scattered photons are imaged (fluorescence imaging), or the shadow cast in the laser beam is imaged (absorption imaging) [21][22][23][24]. The expansion of the gas over time is related to the temperature of the gas, and hence, this method is a relatively straightforward way of ascertaining the temperature.…”
Section: Measuring the Temperaturementioning
confidence: 99%
“…Between these two, a transverse laser beam blows away the F = 2 atoms. Numerical frame re-composition generates the respective reference images and largely reduces the effect of optical fringes [51]. Calculation of the optical density and correction for the high saturation [52] give access to the atom column density.…”
Section: Experimental Set-upmentioning
confidence: 99%