Multimode soliton dynamics in perturbed ladder lattices

Area of Science:

• Condensed Matter Physics
• Nonlinear Dynamics
• Wave Propagation

Background:

• Solitons are robust wave packets that maintain their shape during propagation.
• Ladder lattices are discrete systems exhibiting unique wave phenomena.
• Perturbations in lattices can significantly alter soliton dynamics.

Purpose of the Study:

• To investigate the interaction between longitudinal and lateral soliton modes in perturbed ladder lattices.
• To understand how lattice imperfections influence soliton transmission and dynamics.
• To explore potential applications of these phenomena in soliton filtering.

Main Methods:

• Theoretical analysis of soliton wave packet transmission in perturbed ladder lattices.
• Investigation of uniform longitudinal fields, on-site impurities, and modified transverse bonds.
• Examination of the Bloch-Zener mechanism and soliton mode-mode mixing.

Main Results:

• In uniform fields, longitudinal and lateral soliton modes are independent, with dynamics confined by the Bloch-Zener mechanism and lattice finiteness.
• On-site impurities induce mode mixing, leading to complex 2D/3D dynamics, radiation, and potential soliton trapping or slaloming.
• Modified transverse bonds act as attractive or repulsive potentials, filtering solitons based on their transverse energy.

Conclusions:

• Lattice perturbations introduce rich dynamics and control mechanisms for soliton propagation.
• Specific impurity configurations, like zigzag defects, enable soliton slaloming.
• Transverse bond modifications and zigzag impurities can function as soliton filters for specific soliton properties.