Two-dimensional discrete solitons in rotating lattices

Details Two-dimensional discrete solitons in rotating lattices Two-dimensional discrete solitons in rotating lattices

2007-09-21

arxiv.org/abs/0709.3399v1

Nonlinear Sciences

Pattern Formation and Solitons

To be published in Physical Review E

Scientific paper

10.1103/PhysRevE.76.046608

We introduce a two-dimensional (2D) discrete nonlinear Schr\"{o}dinger (DNLS) equation with self-attractive cubic nonlinearity in a rotating reference frame. The model applies to a Bose-Einstein condensate stirred by a rotating strong optical lattice, or light propagation in a twisted bundle of nonlinear fibers. Two species of localized states are constructed: off-axis fundamental solitons (FSs), placed at distance $R$ from the rotation pivot, and on-axis (R=0) vortex solitons (VSs), with vorticities $% S=1$ and 2. At a fixed value of rotation frequency $\Omega $, a stability interval for the FSs is found in terms of the lattice coupling constant $C$, $% 0

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