Gap solitons in quasiperiodic optical lattices

Details Gap solitons in quasiperiodic optical lattices Gap solitons in quasiperiodic optical lattices

2006-07-04

arxiv.org/abs/cond-mat/0607068v1

Physics

Condensed Matter

Soft Condensed Matter

8 pages, 11 figures

Scientific paper

10.1103/PhysRevE.74.026601

Families of solitons in one- and two-dimensional (1D and 2D) Gross-Pitaevskii equations with the repulsive nonlinearity and a potential of the quasicrystallic type are constructed (in the 2D case, the potential corresponds to a five-fold optical lattice). Stable 1D solitons in the weak potential are explicitly found in three bandgaps. These solitons are mobile, and they collide elastically. Many species of tightly bound 1D solitons are found in the strong potential, both stable and unstable (unstable ones transform themselves into asymmetric breathers). In the 2D model, families of both fundamental and vortical solitons are found and are shown to be stable.

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