Stable higher-order vortices and quasivortices in the discrete nonlinear Schroedinger equation

Journal Article · Mon Nov 01 04:00:00 EST 2004 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

DOI:https://doi.org/10.1103/PhysRevE.70.056612· OSTI ID:20636883

Kevrekidis, P G ^[1]; Malomed, Boris A ^[2]; Zhigang, Chen ^[3]; Frantzeskakis, D J ^[4]

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1. Department of Mathematics and Statistics, University of Massachusetts, Amherst, Massachusetts 01003-4515 (United States)
2. Department of Interdisciplinary Studies, Faculty of Engineering, Tel Aviv University, Tel Aviv 69978 (Israel)
3. Department of Physics and Astronomy, San Francisco State University, California 94132 (United States)
4. Department of Physics, University of Athens, Panepistimiopolis, Zografos, Athens 15784 (Greece)

Vortex solitons with the topological charge S=3, and 'quasivortex' (multipole) solitons, which exist instead of the vortices with S=2 and 4, are constructed on a square lattice in the discrete nonlinear Schroedinger equation (true vortices with S=2 were known before, but they are unstable). For each type of solitary wave, its stability interval is found, in terms of the intersite coupling constant. The interval shrinks with increase of S. At couplings above a critical value, oscillatory instabilities set in, resulting in breakup of the vortex or quasivortex into lattice solitons with a lower vorticity. Such localized states may be observed in optical guiding structures, and in Bose-Einstein condensates loaded into optical lattices.

• OSTI ID: 20636883
• Journal Information: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Journal Name: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics Journal Issue: 5 Vol. 70; ISSN PLEEE8; ISSN 1063-651X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BOSE-EINSTEIN CONDENSATION
COUPLING CONSTANTS
INSTABILITY
LATTICE FIELD THEORY
NONLINEAR PROBLEMS
SCHROEDINGER EQUATION
SOLITONS
STABILITY
TOPOLOGY
VORTICES
WAVEGUIDES