Publication Date
2004
Journal or Book Title
Physics Review Letters
Abstract
In a benchmark dynamical-lattice model in three dimensions, the discrete nonlinear Schrödinger equation, we find discrete vortex solitons with various values of the topological charge S. Stability regions for the vortices with S=0,1,3 are investigated. The S=2 vortex is unstable and may spontaneously rearranging into a stable one with S=3. In a two-component extension of the model, we find a novel class of stable structures, consisting of vortices in the different components, perpendicularly oriented to each other. Self-localized states of the proposed types can be observed experimentally in Bose-Einstein condensates trapped in optical lattices and in photonic crystals built of microresonators.
Volume
93
Issue
8
Recommended Citation
Kevrekidis, Panos, "Three-Dimensional Solitary Waves and Vortices in a Discrete Nonlinear Schrödinger Lattice" (2004). Physics Review Letters. 1056.
Retrieved from https://scholarworks.umass.edu/math_faculty_pubs/1056
Comments
This is the pre-published version harvested from arXiv. The published version is located at http://prl.aps.org/abstract/PRL/v93/i8/e080403