Anderson localization of solitons in optical lattices with random frequency modulation

Abstract

We report on 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 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 on modulation frequency.

13 pages, 4 figures, to appear in Physical Review E

References in corpus (3)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Soliton trains in photonic lattices
• Soliton eigenvalue control with optical lattices

Cited by in corpus (7)

• Dissipative Transport of a Bose-Einstein Condensate
• Enhanced soliton transport in quasi-periodic lattices with short-range aperiodicity
• Dynamics of surface solitons at the edge of chirped optical lattices
• Spin-orbit coupled soliton in a random potential
• Brownian soliton motion
• Soliton percolation in random optical lattices
• Disorder-induced soliton transmission in nonlinear photonic lattices