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Symmetry Breaking of Discrete Solitons in Two-Component Waveguide Arrays with Long-Range Linearly Coupled Effect

机译:具有长距离线性耦合效应的两分量波导阵列中离散孤子的对称破坏

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摘要

In this work, we study the spontaneous symmetry breaking (SSB) of discrete solitons in two-component waveguide arrays with long-range linearly coupled effect. Stable symmetry and asymmetry two-component discrete solitons are found in the system. The symmetry transition between them are studied. We find that, increasing the strength of the linear long-range coupling, the process of the symmetry breaking from the symmetric soliton to the asymmetric soliton will switch from supercritical to subcritical type. The specific switch point is identified by numerical simulations. Compared to the case with nonlinear long-range couplings, the SSB with linear long-range coupling is opposite in behavior. These findings can help to fill the gap in our general picture of the symmetry breaking against nonlocal effects, and may possible have potential applications in optical communications and all-optical networks.
机译:在这项工作中,我们研究具有长距离线性耦合效应的两分量波导阵列中离散孤子的自发对称断裂(SSB)。系统中存在稳定的对称和不对称两组分离散孤子。研究了它们之间的对称过渡。我们发现,随着线性远程耦合强度的增加,对称性从对称孤子转变为非对称孤子的过程将从超临界型转变为亚临界型。通过数值模拟确定特定的开关点。与具有非线性远程耦合的情况相比,具有线性远程耦合的SSB在行为上是相反的。这些发现可以帮助填补我们克服非局部效应的对称性的一般情况中的空白,并可能在光通信和全光网络中具有潜在的应用。

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