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DY: Fachverband Dynamik und Statistische Physik
DY 21: Quantum chaos II
DY 21.7: Talk
Thursday, March 26, 2009, 12:00–12:15, ZEU 255
Wavepacket dynamics in energy space of a chaotic trimeric Bose-Hubbard system — •Moritz Hiller1, Tsampikos Kottos2,3, and Theo Geisel3 — 1Fakultät für Physik, Albert-Ludwigs-Universität Freiburg, Germany — 2Department of Physics, Wesleyan University, Middletown CT, USA — 3Max-Planck-Insitut für Dynamik und Selbstorganisation, Göttingen, Germany
We study the energy redistribution of interacting bosons in a ring-shaped quantum trimer as the coupling strength between neighboring sites of the corresponding Bose-Hubbard Hamiltonian undergoes a sudden change δ k. In the framework of (ultra-)cold atoms on optical lattices this perturbation corresponds to a modulation of the trapping potential. Our analysis is based on a three-fold approach combining linear response theory calculations as well as semiclassical and random matrix theory considerations. The δ k-borders of applicability of each of these methods are identified by direct comparison with the exact quantum mechanical results. We find that while the variance of the evolving quantum distribution shows a remarkable quantum-classical correspondence (QCC) for all δ k-values, other moments exhibit this QCC only in the non-perturbative δ k-regime.