Publication Date
2004
Journal or Book Title
Journal of Physics B: Atomic, Molecular, and Optical Physics
Abstract
We examine the parametric and modulational instabilities arising in a non-autonomous, discrete nonlinear Schrödinger equation. The principal motivation for our study stems from the dynamics of Bose–Einstein condensates trapped in a deep optical lattice. We find that under periodic variations of the heights of the interwell barriers (or equivalently of the scattering length), in addition to the modulational instability, a window of parametric instability becomes available to the system. We explore this instability through multiple-scale analysis and identify it numerically. Its principal dynamical characteristic is that, typically, it develops over much larger times than the modulational instability, a feature that is qualitatively justified by comparison of the corresponding instability growth rates.
Volume
37
Issue
7
Recommended Citation
Rapti, Z and Kevrekidis, PG, "Parametric and modulational instabilities of the discrete nonlinear Schrödinger equation" (2004). Journal of Physics B: Atomic, Molecular, and Optical Physics. 1098.
Retrieved from https://scholarworks.umass.edu/math_faculty_pubs/1098
Comments
This is the pre-published version harvested from arXiv. The published version is located at http://iopscience.iop.org/0953-4075/37/7/070/