标题： 孤子在双通道势中的自发对称性破缺 显示英文标题

标题： Spontaneous symmetry breaking of solitons trapped in a double-channel potential

摘要： 我们考虑一个二维（2D）非线性薛定谔方程，具有自聚焦非线性以及准一维双通道势，即众所周知的双阱势的直接二维扩展。 该模型可以在非线性光学和玻色-爱因斯坦凝聚体中实现。 变分近似（VA）预测了在双通道中被捕获的二维孤子的对称性被破坏的分岔，该分岔为次临界类型。 VA的预测得到了数值模拟的验证。 这项工作展示了任何双芯系统中二维孤子自发对称性破缺（SSB）的第一个例子。 显示英文摘要

摘要： We consider a two-dimensional (2D) nonlinear Schrodinger equation with self-focusing nonlinearity and a quasi-1D double-channel potential, i.e., a straightforward 2D extension of the well-known double-well potential. The model may be realized in terms of nonlinear optics and Bose-Einstein condensates. The variational approximation (VA) predicts a bifurcation breaking the symmetry of 2D solitons trapped in the double channel, the bifurcation being of the subcritical type. The predictions of the VA are confirmed by numerical simulations. The work presents the first example of the spontaneous symmetry breaking (SSB) of 2D solitons in any dual-core system.