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Anderson localization of solitons in optical lattices with random frequency modulation

Yaroslav V. Kartashov¹ and Victor A. Vysloukh²

¹ICFO-Institut de Ciencies Fotoniques and Universitat Politecnica de Catalunya, 08034, Barcelona, Spain
²Departamento de Fisica y Matematicas, Universidad de las Americas - Puebla, Santa Catarina Martir, 72820, Puebla, Mexico

Phys. Rev. E 72, 026606 – Published 15 August, 2005

DOI: https://doi.org/10.1103/PhysRevE.72.026606

Abstract

We report on the phenomenon of Anderson-type localization of walking solitons in optical lattices with random frequency modulation, manifested as dramatic enhancement of soliton trapping probability on lattice inhomogeneities with the growth of the frequency fluctuation level. The localization process is strongly sensitive to the lattice depth since in shallow lattices walking solitons experience random refraction and/or multiple scattering in contrast to relatively deep lattices, where solitons are typically immobilized in the vicinity of local minimums of modulation frequency.

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