Breather mobility and the PN potential - Brief review and recent progress
2014 (English)Conference paper, Presentation (Other academic)
The question whether a nonlinear localized mode (discrete soliton/breather) can be mobile in a lattice has a standard interpretation in terms of the Peierls-Nabarro (PN) potential barrier. For the most commonly studied cases, the PN barrier for strongly localized solutions becomes large, rendering these essentially immobile. Several ways to improve the mobility by reducing the PN-barrier have been proposed during the last decade, and the first part gives a brief review of such scenarios in 1D and 2D. We then proceed to discuss two recently discovered novel mobility scenarios. The first example is the 2D Kagome lattice, where the existence of a highly degenerate, flat linear band allows for a very small PN-barrier and mobility of highly localized modes in a small-power regime. The second example is a 1D waveguide array in an active medium with intrinsic (saturable) gain and damping, where exponentially localized, travelling discrete dissipative solitons may exist as stable attractors.
Place, publisher, year, edition, pages
2014. 31- p.
Atom and Molecular Physics and Optics
IdentifiersURN: urn:nbn:se:liu:diva-113519OAI: oai:DiVA.org:liu-113519DiVA: diva2:782334
International workshop on Control of light and matter waves propagation and localization in photonic lattices, Linköping, 6-7 August 2014
FunderSwedish Research Council, 348-2013-6752