Wavepacket Dynamics in Energy Space of a Chaotic Trimeric Bose-Hubbard System

POSTER

Abstract

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 $\delta k$. In the framework of (ultra-)cold atoms on optical lattices this perturbation corresponds to a modulation of the trapping potential height. Our analysis is based on a three-fold approach combining linear response theory calculations as well as semiclassical and random matrix theory considerations. The $\delta k$-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 $\delta k$-values, other moments exhibit this QCC only in the non-perturbative $\delta k$-regime.

Authors

  • Moritz Hiller

    Department of Physics, Albert Ludwigs University of Freiburg, Germany

  • Tsampikos Kottos

    Department of Physics, Wesleyan University, Middletown CT-USA and MPI for Dynamics and Self-Organization, G\"ottingen-Germany, Department of Physics, Wesleyan University, Middletown, Connecticut 06459, USA and MPI for Dynamics and Self-Organization, 37073 Goettingen, Germany, Department of Physics, Wesleyan University, Middletown, Connecticut, Department of Physics, Wesleyan University, Middletown CT-USA and MPI for Dynamics and Self-Organization, Goettingen-Germany, Max Planck Institute for Dynamics \& Self-Organization. AND Dept. of Physics, Wesleyan University

  • Theo Geisel

    MPI for Dynamics and Self-Organization, Goettingen-Germany, Max-Planck-Institute for Dynamics and Self-Organization and University of Goettingen, Germany