Solitary vortices and gap solitons in rotating optical lattices

Hidetsugu Sakaguchi, Boris A. Malomed

    研究成果: Contribution to journalArticle査読

    23 被引用数 (Scopus)

    抄録

    We report on results of a systematic analysis of two-dimensional solitons and localized vortices in models including a rotating periodic potential and the cubic nonlinearity, with the latter being both self-attractive and self-repulsive. The models apply to Bose-Einstein condensates stirred by rotating optical lattices and to twisted photonic-crystal fibers, or bundled arrays of waveguides, in nonlinear optics. In the case of the attractive nonlinearity, we construct compound states in the form of vortices, quadrupoles, and supervortices, all trapped in the slowly rotating lattice, and identify their stability limits (fundamental solitons in this setting were studied previously). In rapidly rotating potentials, vortices decouple from the lattice in the azimuthal direction and assume an annular shape. In the model with the repulsive nonlinearity, which was not previously explored in this setting, gap solitons and vortices are found in both cases of the slow and rapid rotations. It is again concluded that the increase in the rotation frequency leads to the transition from fully trapped corotating vortices to ring-shaped ones. We also study "crater-shaped" vortices in the attraction model, which, unlike their compound counterparts, are trapped, essentially, in one cell of the lattice. Previously, only unstable vortices of this type were reported. We demonstrate that they have a certain stability region. Solitons and vortices are found here in the numerical form, and, in parallel, by means of the variational approximation.

    本文言語英語
    論文番号043606
    ジャーナルPhysical Review A - Atomic, Molecular, and Optical Physics
    79
    4
    DOI
    出版ステータス出版済み - 4 1 2009

    All Science Journal Classification (ASJC) codes

    • 原子分子物理学および光学

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