Dresden 2006 – wissenschaftliches Programm
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DY: Dynamik und Statistische Physik
DY 17: Superfluidity and Bose-Einstein-Condensation
DY 17.3: Vortrag
Montag, 27. März 2006, 17:45–18:00, SCH 251
Parametric Bose-Hubbard Hamiltonians and Structural Analysis of Eigenstates in the Chaotic Regime — •Moritz Hiller1,2, Tsampikos Kottos1,3, and Theo Geisel1,2 — 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.