| Issue |
Europhys. Lett.
Volume 72, Number 5, December 2005
|
|
|---|---|---|
| Page(s) | 698 - 704 | |
| Section | General | |
| DOI | https://doi.org/10.1209/epl/i2005-10295-7 | |
| Published online | 26 October 2005 | |
Higher-order vortex solitons, multipoles, and supervortices on a square optical lattice
1
Department of Applied Science for Electronics and Materials Interdisciplinary Graduate School of Engineering Sciences Kyushu University - Kasuga, Fukuoka 816-8580, Japan
2
Department of Interdisciplinary Studies School of Electrical Engineering, Faculty of Engineering Tel Aviv University - Tel Aviv 69978, Israel
Received:
4
April
2005
Accepted:
29
September
2005
We predict new generic types of vorticity-carrying soliton
complexes in a class of physical systems including an attractive
Bose-Einstein condensate in a square optical lattice (OL) and
photonic lattices in photorefractive media. The patterns include
ring-shaped higher-order vortex solitons and supervortices.
Stability diagrams for these patterns, based on direct
simulations, are presented. The vortex ring solitons are stable if
the phase difference 
between adjacent solitons in
the ring is larger than 
, while the supervortices are
stable in the opposite case, 
. A qualitative
explanation to the stability is given.
PACS: 03.75.Lm – Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations / 05.45.Yv – Solitons / 42.65.Tg – Optical solitons; nonlinear guided waves
© EDP Sciences, 2005
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