Hannover 2010 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 31: Quantum Gases: Interaction Effects II

Q 31.4: Talk

Wednesday, March 10, 2010, 14:45–15:00, E 001

Variational studies of Bose-Einstein condensates with embedded vorticity — •Matthias Zimmer, Poulcheria Christou, Stefan Rau, and Günter Wunner — 1. Institut für Theoretische Physik, Universität Stuttgart, 70550 Stuttgart

The Gross-Pitaevskii equation of condensates with embedded vortices and 1/r interaction is solved using a variational principle and modified Gaussian wave packets to consider the vorticity in the Bose-Einstein condensate. The result provides insight in the stability of stationary solutions with respect to the vorticity and the attractive interaction strength. Unlike the direct numerical solutions, where the Gross-Pitaevskii equation is solved at every point in the mesh, it is possible to derive not only the stable branches of the stationary solution but also the unstable which are born in a tangent bifurcation.