Hannover 2020 – scientific programme
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Q: Fachverband Quantenoptik und Photonik
Q 14: Precision Measurements and Metrology
Q 14.7: Talk
Tuesday, March 10, 2020, 12:30–12:45, a310
Searching for a logarithmic nonlinearity in the Schrödinger equation using free expansion of Bose-Einstein condensates — •Sascha Vowe1 and Markus Krutzik1,2 — 1Institut für Physik, HU Berlin — 2Ferdinand-Braun-Institut Berlin
The time evolution of a quantum mechanical system as described by the Schrödinger Equation (SE) has been shown to yield correct predictions in many, very precise experiments [1]. However, whether the SE can be regarded as a complete description, or rather an linearized approximation of a more general theory, is still an open question.
One of the very first nonlinear additions to the SE which tried to preserve important physical properties such as the separability of noninteracting states was the so called logarithmic SE as proposed by Bialynicki-Birula and Mycielski [2]. We propose novel experiments using the free expansion of Bose-Einstein condensates which, in the light of future long free fall tests on microgravity platforms, are able to put new upper bounds on the strength of this nonlinearity.
This work is supported by the German Space Agency DLR with funds provided by the Federal Ministry of Economics and Technology (BMWi) under grant number DLR50WP1432 and DLR50WM1852
[1] S. Lamoreaux, A Review of the Experimental Tests of Quantum Mechanics. Int. J. Mod. Phys. A 07, 6691 (1992)
[2] I. Bialynicki-Birula and J. Mycielski, Nonlinear Wave Mechanics, Ann. Phys. (N.Y.)100, 62 (1976)