SAMOP 2023 – wissenschaftliches Programm
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Q: Fachverband Quantenoptik und Photonik
Q 22: Poster II
Q 22.1: Poster
Dienstag, 7. März 2023, 16:30–19:00, Empore Lichthof
Conformal duality of Bose-Einstein condensates with two- and three-body interactions — •David Reinhardt1, Matthias Meister1, Dean Lee2, and Wolfgang P. Schleich3 — 1German Aerospace Center (DLR), Institute of Quantum Technologies, Ulm, Germany — 2Michigan State University, Department of Physics and Astronomy, East Lansing, Michigan, USA — 3Institute of Quantum Physics, Ulm University, Ulm, Germany
It is well known that the eigenstates of nonlinear quantum systems (e.g. Bose-Einstein condensates described by the Gross-Pitaevskii equation) differ from those of the linear Schrödinger equation [1]. For instance, solitons only occur in nonlinear systems. When additionally considering three-body interactions new solution types emerge [2]. By analyzing the different solution spaces, we find that there exists a conformal duality between systems with two- and three-body interactions. This allows to predict the properties in the three-body case by means of the two-body case. For example, irregular two-body solutions can become bound solutions when including three-body interactions.
[1] L. D. Carr et al., PRA 62, 063610 (2000).
[2] H. Schürmann, PRE 54, 4312 (1996).