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Peierls-Nabarro energy surfaces and directional mobility of discrete solitons in two-dimensional saturable nonlinear Schrodinger lattices
University of Chile.
University of Chile.
Linköping University, Department of Physics, Chemistry and Biology, Theoretical Physics . Linköping University, The Institute of Technology.ORCID iD: 0000-0001-6708-1560
2011 (English)In: PHYSICAL REVIEW E, ISSN 1539-3755, Vol. 83, no 3, 036601- p.Article in journal (Refereed) Published
Abstract [en]

We address the problem of directional mobility of discrete solitons in two-dimensional rectangular lattices, in the framework of a discrete nonlinear Schrodinger model with saturable on-site nonlinearity. A numerical constrained Newton-Raphson method is used to calculate two-dimensional Peierls-Nabarro energy surfaces, which describe a pseudopotential landscape for the slow mobility of coherent localized excitations, corresponding to continuous phase-space trajectories passing close to stationary modes. Investigating the two-parameter space of the model through independent variations of the nonlinearity constant and the power, we show how parameter regimes and directions of good mobility are connected to the existence of smooth surfaces connecting the stationary states. In particular, directions where solutions can move with minimum radiation can be predicted from flatter parts of the surfaces. For such mobile solutions, slight perturbations in the transverse direction yield additional transverse oscillations with frequencies determined by the curvature of the energy surfaces, and with amplitudes that for certain velocities may grow rapidly. We also describe how the mobility properties and surface topologies are affected by inclusion of weak lattice anisotropy.

Place, publisher, year, edition, pages
American Physical Society , 2011. Vol. 83, no 3, 036601- p.
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:liu:diva-67008DOI: 10.1103/PhysRevE.83.036601ISI: 000288073200014OAI: oai:DiVA.org:liu-67008DiVA: diva2:406258
Note
Original Publication: Uta Naether, Rodrigo A Vicencio and Magnus Johansson, Peierls-Nabarro energy surfaces and directional mobility of discrete solitons in two-dimensional saturable nonlinear Schrodinger lattices, 2011, PHYSICAL REVIEW E, (83), 3, 036601. http://dx.doi.org/10.1103/PhysRevE.83.036601 Copyright: American Physical Society http://www.aps.org/ Available from: 2011-03-25 Created: 2011-03-25 Last updated: 2014-01-13

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