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Erlangen 2018 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 38: Poster: Quantum Optics and Photonics I

Q 38.18: Poster

Tuesday, March 6, 2018, 16:15–18:15, Orangerie

Optimal focusing of free matter waves — •Patrick B. Boegel1, Maxim A. Efremov1, and Wolfgang P. Schleich1,21Institut für Quantenphysik and Center for Integrated Quantum Science and Technology (IQST), Universität Ulm, D-89069 Ulm — 2Institute for Quantum Science and Engineering (IQSE), Department of Physics and Astronomy, Texas A&M University, College Station, TX 77843

A common way to control the position and the size of maximal focusing of a matter-wave is to use a lens, which imprints a position-dependent phase on the initial wave. However, even quantum mechanics allows focusing even without [1,2] a lens, that is when the initial wave function is a real-valued one. Hence, the optimal focusing relies on a smart choice of this initial wave function [3].

Here we find the optimal real-valued wave function of a free particle for the case of two dimensions and study the role of anti-centrifugel forces [4] in matter-wave focusing.

[1] Case, W.B.; Sadurni, E.; Schleich, W.P., Optics Express 20, 27253 (2012)

[2] Weisman D. et al. Phys. Rev. Lett. 118, 154301 (2017)

[3] Vogel, K. et al., Chem. Phys. 375, 133-143 (2010)

[4] Białynicki-Birula I., et al., Phys. Rev. Lett. 89, 060404 (2002)

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