Erlangen 2022 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 63: Matter Wave Optics

Q 63.2: Talk

Friday, March 18, 2022, 10:45–11:00, Q-H10

Efficient aberration analysis of Bose-Einstein condensates — •Jan Teske and Reinhold Walser — Institut für Angewandte Physik, Technische Universität Darmstadt, Hochschulstraße 4A, Darmstadt, D-64289, Germany

Matter-wave interferometry with ultracold atoms is paving the way to a new era of quantum technologies. Recent milestones of space application are space-borne Bose-Einstein condensates [1] and BECs in Earth’s orbit on ISS [2]. These achievements require precision modeling of matter-wave optics. In photonic optics, aberrations are efficiently described by Zernike’s orthogonal “Kreisflächenpolynome” representing the optical path difference between light waves and a reference wavefront [3].
In this contribution, we present a (3+1)-dimensional aberration analysis for matter-wave optics with Bose-Einstein condensates. Motivated by the intrinsic properties of an interacting condensate, we use a set of orthogonal basis functions to perform a multipole expansion to quantify distortions of the atomic cloud. The resulting aberration coefficients encode the relevant information of the condensate wave function leading to efficient data compression of realistic 3D simulations.
1 D. Becker et al., Nature 562, 391 (2018)
2 D. C. Aveline et al., Nature 582, 193 (2020)
3 F. Zernike, Physica 1, 689 (1934)