Vortex Solutions of the Defocusing Discrete Nonlinear Schroedinger Equation

Journal Article · Wed Sep 09 00:00:00 EDT 2009 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.3241338· OSTI ID:21322905

Cuevas, J ^[1]; James, G ^[2]; Kevrekidis, P G; Law, K J. H. ^[3]

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1. Grupo de Fisica No Lineal, Departamento de Fisica Aplicada I, Escuela Universitaria Politecnica, Universidad de Sevilla, C/Virgen de Africa, 7, 41011 Sevilla (Spain)
2. Institut National Polytechnique de Grenoble and CNRS, Laboratoire Jean Kuntzmann (UMR 5224), tour IRMA, BP 53, 38041 Grenoble Cedex 9 (France)
3. Department of Mathematics and Statistics, University of Massachusetts, Amherst MA 01003-4515 (United States)

We consider the existence, stability and dynamical evolution of dark vortex states in the two-dimensional defocusing DNLS equation, a model of interest both to atomic physics and to nonlinear optics. Our considerations are chiefly based on initializing such vortex configurations at the anti-continuum limit of zero coupling between adjacent sites, and continuing them to finite values of the coupling. Discrete defocusing vortices become unstable past a critical coupling strength and, subsequently feature a cascade of alternating stabilization-destabilization windows for any finite lattice.

• OSTI ID: 21322905
• Journal Information: AIP Conference Proceedings, Vol. 1168, Issue 1; Conference: International conference on numerical analysis and applied mathematics 2009, Rethymno, Crete (Greece), 18-22 Sep 2009; Other Information: DOI: 10.1063/1.3241338; (c) 2009 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
COUPLING
MATHEMATICAL SOLUTIONS
NONLINEAR PROBLEMS
SCHROEDINGER EQUATION
SOLITONS
STABILITY
STABILIZATION
TWO-DIMENSIONAL CALCULATIONS
VORTICES