Soliton Dynamics in Linearly Coupled Discrete Nonlinear Schrödinger Equations

2009/04/15 by Andrea Trombettoni, H. E. Nistazakis, Trombettoni, A. +7 · 1 citation
Physics and Astronomy · #Advanced Fiber Laser Technologies #FOS: Physical sciences #Nonlinear Photonic Systems #Pattern Formation and Solitons (nlin.PS) #Statistical Mechanics (cond-mat.stat-mech) #Strong Light-Matter Interactions

paper · pdf · doi:10.48550/arxiv.0904.2415

openalex publication_date 2009/04/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study soliton dynamics in a system of two linearly coupled discrete nonlinear Schrödinger equations, which describe the dynamics of a two-component Bose gas, coupled by an electromagnetic field, and confined in a strong optical lattice. When the nonlinear coupling strengths are equal, we use a unitary transformation to remove the linear coupling terms, and show that the existing soliton solutions oscillate from one species to the other. When the nonlinear coupling strengths are different, the soliton dynamics is numerically investigated and the findings are compared to the results of an effective two-mode model. The case of two linearly coupled Ablowitz-Ladik equations is also investigated.

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