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

Hervé Leblond*, Boris A. Malomed, Dumitru Mihalache

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

We consider the three-dimensional (3D) Gross-Pitaevskii/nonlinear Schrödinger 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 5 = 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.

Original languageEnglish
Title of host publicationROMOPTO 2006
Subtitle of host publicationEighth Conference on Optics
PublisherSPIE
ISBN (Print)0819469491, 9780819469496
DOIs
StatePublished - 2007
EventROMOPTO 2006: Eighth Conference on Optics - Sibiu, Romania
Duration: 4 Sep 20067 Sep 2006

Publication series

NameProceedings of SPIE - The International Society for Optical Engineering
Volume6785
ISSN (Print)0277-786X

Conference

ConferenceROMOPTO 2006: Eighth Conference on Optics
Country/TerritoryRomania
CitySibiu
Period4/09/067/09/06

Keywords

  • Light bullets
  • Optical lattices
  • Vortex solitons

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