Berlin 2005 – scientific programme
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DY: Dynamik und Statistische Physik
DY 13: Quantum Chaos
DY 13.11: Talk
Friday, March 4, 2005, 16:45–17:00, TU H2032
Wavefunction analysis of coupled Bose-Einstein condensates: A non-perturbative approach — •Moritz Hiller, Tsampikos Kottos, and Theo Geisel — Max-Planck-Institut für Strömungsforschung und Fakultät Physik der Universität Göttingen, Bunsenstraße 10, 37073 Göttingen, Germany
We study a BEC in a double well trap. As we turn on the coupling between the two wells, the wavefunctions undergo a crossover from a perturbative to a non-perturbative structure. The latter is analyzed by employing semiclassical methods which allows us to identify traces of the underlying phase-space structure. The limitations of perturbation theory are exposed and analytical expressions for the wavefunction shape in all regimes are given.