Stuttgart 2012 – wissenschaftliches Programm
Q 34.29: Poster
Dienstag, 13. März 2012, 16:30–19:00, Poster.I+II
A Single Vortex in a Bose-Einstein Condensate — •Hamid Al-Jibbouri1, Nikolas Zöller1, and Axel Pelster2 — 1Institute for Theoretical Physics, Free University of Berlin, Germany — 2Hanse-Wissenschaftskolleg, Delmenhorst, Germany
Within a variational approach we describe the physical properties of a Bose-Einstein condensate in a cylinder-symmetric harmonic trap with a single vortex in the center. At first we analyze the equilibrium configuration and determine the vortex size as well as the Thomas-Fermi radii. Then we calculate the critical rotation frequency for the emergence of the vortex and compare our findings with the literature. Finally, we investigate how the presence of the vortex changes the collective excitation frequencies. All results are obtained analytically in form of an asymptotic series in the limit of strong two-particle interactions.