Linear and nonlinear dynamics of matter wave packets in periodic potentials
arXiv:cond-mat/0401165 · doi:10.1364/OPEX.12.000011
Abstract
We investigate experimentally and theoretically the nonlinear propagation of 87Rb Bose Einstein condensates in a trap with cylindrical symmetry. An additional weak periodic potential which encloses an angle with the symmetry axis of the waveguide is applied. The observed complex wave packet dynamics results from the coupling of transverse and longitudinal motion. We show that the experimental observations can be understood applying the concept of effective mass, which also allows to model numerically the three dimensional problem with a one dimensional equation. Within this framework the observed slowly spreading wave packets are a consequence of the continuous change of dispersion. The observed splitting of wave packets is very well described by the developed model and results from the nonlinear effect of transient solitonic propagation.
7 pages, 4 figures
References in corpus (8)
- Discrete Solitons and Breathers with Dilute Bose-Einstein Condensates
- Josephson Junction Arrays with Bose-Einstein Condensates
- Effective wave-equations for the dynamics of cigar-shaped and disc-shaped Bose condensates
- Bloch oscillations and mean-field effects of Bose-Einstein condensates in 1-D optical lattices
- Modulational instability in cigar shaped Bose-Einstein condensates in optical lattices
- Dispersion management for atomic matter waves
- Nonlinear Bloch-wave interaction and Bragg scattering in optically-induced lattices
- Bloch function description of a Bose-Einstein condensate in a finite optical lattice
Cited by in corpus (6)
- Dark solitons in atomic Bose-Einstein condensates: from theory to experiments
- Role of transverse excitations in the instability of Bose-Einstein condensates moving in optical lattices
- Self-localization of polariton condensates in periodic potentials
- Dispersion control for matter waves and gap solitons in optical superlattices
- Period doubling, two-color lattices, and the growth of swallowtails in Bose-Einstein condensates
- Localized modes in mini-gaps opened by periodically modulated intersite coupling in two-dimensional nonlinear lattices