Soliton topology versus discrete symmetry in optical lattices

Details Soliton topology versus discrete symmetry in optical lattices Soliton topology versus discrete symmetry in optical lattices

2005-07-15

arxiv.org/abs/nlin/0507031v1

Nonlinear Sciences

Pattern Formation and Solitons

4 pages, 3 figures. To appear in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.95.123902

We address the existence of vortex solitons supported by azimuthally modulated lattices and reveal how the global lattice discrete symmetry has fundamental implications on the possible topological charges of solitons. We set a general ``charge rule'' using group-theory techniques, which holds for all lattices belonging to a given symmetry group. Focusing in the case of Bessel lattices allows us to derive also a overall stability rule for the allowed vortex solitons.

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