Dresden 2006 – scientific programme

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DY: Dynamik und Statistische Physik

DY 17: Superfluidity and Bose-Einstein-Condensation

DY 17.3: Talk

Monday, March 27, 2006, 17:45–18:00, SCH 251

Parametric Bose-Hubbard Hamiltonians and Structural Analysis of Eigenstates in the Chaotic Regime — •Moritz Hiller^1,2, Tsampikos Kottos^1,3, and Theo Geisel^1,2 — ¹Max-Planck-Institut für Dynamik und Selbstorganisation, Bunsenstraße 10, D-37073 Göttingen, Germany — ²Fakultät für Physik, Universität Göttingen, Friedrich-Hund-Platz 1, D-37077 Göttingen, Germany — ³Department of Physics, Wesleyan University, Middletown, CT-06459, USA

We consider a family of chaotic Bose-Hubbard Hamiltonians (BHH) parameterized by the coupling strength k between neighboring sites. As k increases, the eigenstates undergo changes which are reflected in the structure of the Local Density of States. We analyze these changes both numerically and analytically, using perturbative and semiclassical methods. The outcome of our studies is relevant to a vast number of experimental realizations of Bose-Hubbard Hamiltonians, like condensate systems in optical lattices and atom lasers.