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Q: Fachverband Quantenoptik und Photonik

Q 51: Quantengase: Gitter und Tunneln II

Q 51.8: Talk

Thursday, March 5, 2009, 18:15–18:30, Audi-A

Scattering Properties of Bose-Hubbard Hamiltonians with two and three sites — •Stefan Hunn¹, Moritz Hiller¹, Tsampikos Kottos^2,3, Doron Cohen⁴, and Andreas Buchleitner¹ — ¹Albert-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.