Abstract
We study the dynamics of a nonintegrable system comprising interacting cold bosons trapped in an optical lattice in one dimension by means of exact time-dependent numerical density-matrix renormalization group techniques. Particles are confined by a parabolic potential, and dipole oscillations are induced by displacing the trap center of a few lattice sites. Depending on the system parameters this motion can vary from undamped to overdamped. We study the dipole oscillations as a function of the lattice displacement, the particle density, and the strength of interparticle interactions. These results explain the recent experiment [C. D. Fertig et al., Phys. Rev. Lett. 94, 120403 (2005)].
Highlights
Recent experiments with cold atoms [1, 2, 3, 4] have provided realizations of non-equilibrium quantum manybody systems, allowing to address a number of fundamental questions
We study the dynamics of a non-integrable system comprising interacting cold bosons trapped in an optical lattice in one-dimension by means of exact time-dependent numerical DMRG techniques
Particles are confined by a parabolic potential, and dipole oscillations are induced by displacing the trap center of a few lattice sites
Summary
We study the dynamics of a non-integrable system comprising interacting cold bosons trapped in an optical lattice in one-dimension by means of exact time-dependent numerical DMRG techniques. Particles are confined by a parabolic potential, and dipole oscillations are induced by displacing the trap center of a few lattice sites.
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