Enhanced soliton transport in quasi-periodic lattices with short-range aperiodicity

Details Enhanced soliton transport in quasi-periodic lattices with short-range aperiodicity Enhanced soliton transport in quasi-periodic lattices with short-range aperiodicity

2005-07-14

arxiv.org/abs/nlin/0507027v1

Phys. Rev. Lett. 96, 113902 (2006).

Nonlinear Sciences

Pattern Formation and Solitons

4 pages, 4 figures

Scientific paper

10.1103/PhysRevLett.96.113902

We study linear transmission and nonlinear soliton transport through quasi-periodic structures, which profiles are described by multiple modulation frequencies. We show that resonant scattering at mixed-frequency resonances limits transmission efficiency of localized wave packets, leading to radiation and possible trapping of solitons. We obtain an explicit analytical expression for optimal quasi-periodic lattice profiles, where additional aperiodic modulations suppress mixed-frequency resonances, resulting in dramatic enhancement of soliton mobility. Our results can be applied to the design of photonic waveguide structures, and arrays of magnetic micro-traps for atomic Bose-Einstein condensates.

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