# Hannover 2010 – wissenschaftliches Programm

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# A: Fachverband Atomphysik

## A 9: Ultra-Cold Atoms, Ions and BEC II (with Q)

### A 9.4: Vortrag

### Mittwoch, 10. März 2010, 11:15–11:30, F 303

**Rotating three-dimensional solitons in Bose Einstein condensates with attractive nonlocal interaction** — Fabian Maucher^{1}, Stefan Skupin^{1,2}, and •Wieslaw Krolikowski^{3} — ^{1}Max Planck Institute for the Physics of Complex Systems — ^{2}Friedrich-Schiller-University, Institute of Condensed Matter Theory and Solid State Optics, 07743 Jena, Germany — ^{3}Laser Physics Centre, Research School of Physics and Engineering, Australian National University, Canberra, ACT 0200, Australia

We study the dynamics of rotating high order solitons (azimuthons) in Bose Einstein condensates with attractive nonlinear, nonlocal and isotropic interaction. In particular, we consider a ``Gaussian'' and a ``1/r''-response, i.e., prototypes for short and long-range interaction. Azimuthons are a straightforward generalization of usual (nonrotating) solitons and feature an additional parameter, the angular frequency. The most simple three-dimensional azimuthons are tori with angular phase ramp and azimuthal amplitude modulations. Approximate variational methods allow a rather good approximation of the angular velocity of the azimuthons (compared to full 3d numerical simulation). It is possible to control this angular frequency by varying the repulsive contact interaction using Feshbach resonance techniques. The observed structures are very robust, even in cases where the initial conditions are rather far from the exact solutions. We conjecture that self-trapped azimuthons are generic for condensates with attractive nonlocal interaction.