Enhanced Soliton Transport in Quasiperiodic Lattices with Introduced Aperiodicity | Zendy

Andrey A. Sukhorukov | Zendy

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Enhanced Soliton Transport in Quasiperiodic Lattices with Introduced Aperiodicity

Author(s) -

Andrey A. Sukhorukov

Publication year - 2006

Publication title -

physical review letters

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 3.688

H-Index - 673

eISSN - 1079-7114

pISSN - 0031-9007

DOI - 10.1103/physrevlett.96.113902

Subject(s) - quasiperiodic function , physics , soliton , lattice (music) , modulation (music) , condensed matter physics , aperiodic graph , trapping , nonlinear system , scattering , photonic crystal , quantum mechanics , quantum electrodynamics , mathematics , combinatorics , ecology , biology , acoustics

We study linear transmission and nonlinear soliton transport throughquasi-periodic structures, which profiles are described by multiple modulationfrequencies. We show that resonant scattering at mixed-frequency resonanceslimits transmission efficiency of localized wave packets, leading to radiationand possible trapping of solitons. We obtain an explicit analytical expressionfor optimal quasi-periodic lattice profiles, where additional aperiodicmodulations suppress mixed-frequency resonances, resulting in dramaticenhancement of soliton mobility. Our results can be applied to the design ofphotonic waveguide structures, and arrays of magnetic micro-traps for atomicBose-Einstein condensates.Comment: 4 pages, 4 figure

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