Three-dimensional spinning solitons in quasi-two-dimensional optical lattices

Hervé Leblond; Boris A. Malomed; Dumitru Mihalache

doi:10.1117/12.757861

1 August 2007 Three-dimensional spinning solitons in quasi-two-dimensional optical lattices

Hervé Leblond, Boris A. Malomed, Dumitru Mihalache

Proceedings Volume 6785, ROMOPTO 2006: Eighth Conference on Optics; 678510 (2007) https://doi.org/10.1117/12.757861
Event: ROMOPTO 2006: Eighth Conference on Optics, 2006, Sibiu, Romania

Abstract

We consider the three-dimensional (3D) Gross-Pitaevskii/nonlinear Schrodinger equation with a quasi-2D square-lattice potential, which corresponds to the optical lattice trapping a self-attractive Bose-Einstein condensate (BEC), or to a photonic-crystal fiber, in terms of nonlinear optics. Stable 3D solitons, with embedded vorticity S = 1 and 2, are found by means of the variational approximation and in a numerical form. They are built, basically, as sets of four fundamental solitons forming a rhombus, with phase shifts πS/2 between adjacent sites, and an empty site in the middle. The results provide for the first examples of stable 3D vortex solitons ("spinning light bullets", in terms of optics) with S > 1, and the first ever examples of vortex solitons (with any S ≠ 0) supported by a lattice in the 3D space. Typical scenarios of instability development (collapse or decay) of unstable localized vortices are identified too.

Citation Download Citation

Hervé Leblond, Boris A. Malomed, and Dumitru Mihalache "Three-dimensional spinning solitons in quasi-two-dimensional optical lattices", Proc. SPIE 6785, ROMOPTO 2006: Eighth Conference on Optics, 678510 (1 August 2007); https://doi.org/10.1117/12.757861

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