Abstract
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.
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