Hannover 2010 – wissenschaftliches Programm
Q 9.8: Vortrag
Montag, 8. März 2010, 18:30–18:45, A 320
Probing a Bose-Hubbard system with a scattering particle — •Stefan Hunn1, Moritz Hiller1, Tsampikos Kottos2,3, 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, Bunsenstrasse 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 attached to a central site that is coupled to a Bose-Hubbard system consisting of two or three wells. We find that the characteristic properties of the target’s underlying phase-space structure are reflected in the scattering signal. Hence, this scattering setup constitutes a non-destructive method to measure the properties of a Bose-Einstein condensate confined on an optical lattice. We focus on the parameter regime where the corresponding classical dynamics is chaotic and follow a three-fold approach to the scattering process: Besides the quantum mechanical scattering theory we employ an improved random matrix model and propose a time-dependent, semi-classical formulation of the scattering process where the Bose-Hubbard Hamiltonian is treated in the mean-field (Gross-Pitaevskii) limit.