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Asymmetric vortex solitons in nonlinear periodic lattices
Tristram J Alexander1, Andrey A Sukhorukov, Yuri S Kivshar
1Nonlinear Physics Centre, Research School of Physical Sciences and Engineering, Australian National University, Canberra ACT 0200.
Physical Review Letters
|August 25, 2004
Summary
We discovered asymmetric vortex solitons in symmetric lattices. These nonlinear structures, describing circular flows, can be systematically analyzed using energy-balance relations for various lattice configurations.
Area of Science:
- Nonlinear physics
- Condensed matter physics
- Optical physics
Background:
- Periodic lattices support various nonlinear localized structures.
- Vortex solitons are key nonlinear localized structures describing circular flows.
- Understanding their behavior in symmetric lattices is crucial for nonlinear systems.
Purpose of the Study:
- To reveal the existence of asymmetric vortex solitons in symmetric periodic lattices.
- To establish a systematic method for analyzing these nonlinear localized structures.
- To explore novel coherent states arising from nonlinearity-induced momentum exchange.
Main Methods:
- Analysis using energy-balance relations.
- Numerical simulations on square lattices.
- Investigation of rhomboid, rectangular, and triangular vortex solitons.
Main Results:
- Demonstrated the existence of asymmetric vortex solitons in symmetric lattices.
- Presented examples of rhomboid, rectangular, and triangular vortex solitons.
- Identified novel coherent states with periodically changing vortex mode populations.
Conclusions:
- Asymmetric vortex solitons are a fundamental phenomenon in nonlinear lattice systems.
- Energy-balance relations provide a systematic analysis framework.
- These findings have implications for photonic lattices and Bose-Einstein condensates.