Berlin 2014 – scientific programme
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A: Fachverband Atomphysik
A 50: Ultra-cold atoms, ions and BEC VI (with Q)
A 50.4: Talk
Friday, March 21, 2014, 11:15–11:30, BEBEL E34
Energy dependent ℓ-wave Confinement-Induced Resonances — •Benjamin Heß1, Panagiotis Giannakeas1, and Peter Schmelcher1,2 — 1Zentrum für Optische Quantentechnologien, Universität Hamburg, Luruper Chaussee 149, 22761 Hamburg, Germany — 2The Hamburg Centre for Ultrafast Imaging, Universität Hamburg, Luruper Chaussee 149, 22761 Hamburg, Germany
The universal aspects of two-body collisions in the presence of a harmonic confinement are investigated for both particle exchange symmetries. The main focus of this study are the confinement-induced resonances (CIR) which are attrtibuted to different angular momentum states ℓ and we expliclty show that in alkaline collisions emerge only four universal ℓ-wave CIRs. Going beyond the single mode regime the energy dependence of ℓ-wave CIRs is studied. In particular we show that all the ℓ-wave CIRs may emerge even when the two-body potential cannot support any bound state. Even more, we observe that the intricate dependence on energy yields resonant features where the colliding system within the confining potential experiences an effective free-space scattering. Our analysis is done within the framework of the generalized K-matrix theory and the relevant analytical calculations are in good agreement with the corresponding ab initio numerical simulations