Stuttgart 2012 – wissenschaftliches Programm
Q 34.30: Poster
Dienstag, 13. März 2012, 16:30–19:00, Poster.I+II
Geometric Resonances in BECs with Two- and Three-body Contact Interactions — •Hamid Al-Jibbouri1, Ivana Vidanović2, Antun Balaž2, and Axel Pelster3 — 1Institute for Theoretical Physics, Free University of Berlin, Germany — 2Scientific Computing Laboratory, Institute of Physics Belgrade, University of Belgrade, Serbia — 3Hanse-Wissenschaftskolleg, Delmenhorst, Germany
We study geometric resonances of collective BEC modes, which arise due to the anisotropy of an axially-symmetric trapping potential .
To this end, we solve the time-dependent Gross-Pitaevskii equation at first analytically
by using the perturbative expansion based on
analysis of a Gaussian variational ansatz . By changing the anisotropy of the confining potential, we observe resonances and significant
shifts in frequencies of collective modes, as well as mode coupling due to nonlinear effects.
calculated results are found to be in good agreement with our analytical results. Finally,
in addition to the previously studied case of
two-body contact interactions, we also take into account three-body interactions  and study their effects on the
properties of collective modes.
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 I. Vidanović, A. Balaž, H. Al-Jibbouri, and A. Pelster, Phys. Rev. A 84, 013618 (2011).
 B. L. Tolra, K. M. O’Hara, J. H. Huckans, W. D. Phillips, S. L. Rolston, and J. V. Porto, Phys. Rev. Lett. 92, 190401 (2004).