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Q: Fachverband Quantenoptik und Photonik

Q 31: Precision Measurements: Atom Interferometry I (joint session Q/A)

Q 31.4: Vortrag

Mittwoch, 8. März 2023, 11:45–12:00, F102

Principal Component Analysis for Image processing in Atom Interferometry — •Stefan Seckmeyer¹, Holger Ahlers^1,2, Sven Abend¹, Ernst M. Rasel¹, and Naceur Gaaloul¹ — ¹Institut für Quantenoptik, Leibniz Universität Hannover, Hannover, Germany — ²Deutsches Zentrum für Luft- und Raumfahrt (DLR) Institut für Satellitengeodäsie und Inertialsensorik,, Hannover, Germany

Image analysis plays an important role in several current state-of-the-art atom interferometry experiments. We investigate the extraction of physical quantities from absorption images of atom interferometers using principal component analysis (PCA).

As a starting point we take a simple mathematical model for the images of the output ports of a two-port atom interferometer which is using a Bose-Einstein condensate as an atom source.

We show an analytic prediction of the PCA results for a subset of parameters which allows us to ascribe physical quantities to the output of a PCA analysis. Using this method we are not only able to extract the interferometer phase for each image but also a spatial phase aberration map shared by all images, here introduced at the final beam splitter.

We acknowledge financial support from the German Space Agency (DLR) with funds provided by the Federal Ministry of Economic Affairs and Energy (BMWi) due to an enactment of the German Bundestag under Grant No. 50WM2253A.