Brownian soliton motion

Physics – Optics

Scientific paper

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14 pages, 4 figures, to appear in Physical Review A

Scientific paper

10.1103/PhysRevA.77.051802

We reveal fundamental analogies between soliton dynamics in light-induced random photonic lattices and Brownian motion of particles. In particular, we discover that the average squared soliton displacement increases linearly with distance after an initial ballistic regime of propagation. We also find that in shallow lattices the average soliton displacement grows linearly with increasing lattice depth.

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