Higher-order vortex solitons, multipoles, and supervortices on a square optical lattice

H. Sakaguchi; B. A. Malomed

doi:10.1209/epl/i2005-10295-7

Higher-order vortex solitons, multipoles, and supervortices on a square optical lattice

H. Sakaguchi, B. A. Malomed

Research output: Contribution to journal › Article › peer-review

67 Citations (Scopus)

Abstract

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 Δφ between adjacent solitons in the ring is larger than π/2, while the supervortices are stable in the opposite case, Δφ < π/2. A qualitative explanation to the stability is given.

Original language	English
Pages (from-to)	698-704
Number of pages	7
Journal	Europhysics Letters
Volume	72
Issue number	5
DOIs	https://doi.org/10.1209/epl/i2005-10295-7
Publication status	Published - Dec 1 2005

All Science Journal Classification (ASJC) codes

Physics and Astronomy(all)

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N2 - 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 Δφ between adjacent solitons in the ring is larger than π/2, while the supervortices are stable in the opposite case, Δφ < π/2. A qualitative explanation to the stability is given.

AB - 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 Δφ between adjacent solitons in the ring is larger than π/2, while the supervortices are stable in the opposite case, Δφ < π/2. A qualitative explanation to the stability is given.

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Higher-order vortex solitons, multipoles, and supervortices on a square optical lattice

Abstract

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