Dragging two-dimensional discrete solitons by moving linear defects

Abstract

We study the mobility of small-amplitude solitons attached to moving defects which drag the solitons across a two-dimensional (2D) discrete nonlinear-Schrödinger (DNLS) lattice. Findings are compared to the situation when a free small-amplitude 2D discrete soliton is kicked in the uniform lattice. In agreement with previously known results, after a period of transient motion the free soliton transforms into a localized mode pinned by the Peierls-Nabarro potential, irrespective of the initial velocity. However, the soliton attached to the moving defect can be dragged over an indefinitely long distance (including routes with abrupt turns and circular trajectories) virtually without losses, provided that the dragging velocity is smaller than a certain critical value. Collisions between solitons dragged by two defects in opposite directions are studied too. If the velocity is small enough, the collision leads to a spontaneous symmetry breaking, featuring fusion of two solitons into a single one, which remains attached to either of the two defects.

References in corpus (3)

• Laser tweezers for atomic solitons
• Peierls-Nabarro energy surfaces and directional mobility of discrete solitons in two-dimensional saturable nonlinear Schrödinger lattices
• Localization and delocalization of two-dimensional discrete solitons pinned to linear and nonlinear defects

Cited by in corpus (4)

• Generating, dragging and releasing dark solitons in elongated Bose-Einstein condensates
• Two-dimensional intra-band solitons in lattice potentials with local defects and self-focusing nonlinearity
• Experimental Observation of Single- and Multisite Matter-Wave Solitons in an Optical Accordion Lattice
• Tunable optical lattices for the creation of matter-wave lattice solitons