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Hamburg 2009 – wissenschaftliches Programm

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Q: Fachverband Quantenoptik und Photonik

Q 51: Quantengase: Gitter und Tunneln II

Q 51.8: Vortrag

Donnerstag, 5. März 2009, 18:15–18:30, Audi-A

Scattering Properties of Bose-Hubbard Hamiltonians with two and three sites — •Stefan Hunn1, Moritz Hiller1, Tsampikos Kottos2,3, Doron Cohen4, and Andreas Buchleitner11Albert-Ludwigs-Universität Freiburg, Hermann-Herder-Str. 3, 79104 Freiburg — 2Department of Physics, Wesleyan University, CT, USA — 3MPI für Dynamik und Selbstorganisation, Bunsentraße 10, 37073 Göttingen — 4Department of Physics, Ben-Gurion University, Beer-Sheva, Israel

We consider a probe particle in a tight binding geometry with two leads and a central site that is coupled to a Bose-Hubbard system consisting of two or three wells (dimer/trimer). For the case of the dimer, we find that the resonance widths undergo a sequence of bifurcations resulting from the complexity of the underlying classical phase space structure. In the case of the trimer, we focus on the parameter regime corresponding to classically chaotic motion. We analyze the statistical properties of the scattering matrix and compare our results to the predictions of random matrix theory for chaotic scattering.

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