标题： 非线性圆形波导阵列中的复合涡旋 显示英文标题

标题： Composite vortices in nonlinear circular waveguide arrays

摘要： 已知在连续介质中，由两个相互对称的涡旋成分组成的复合孤子，其总角动量为零，可能稳定，而具有显式涡旋和非零总角动量的对应物则不稳定。 在本工作中，我们证明在离散介质中情况相反：在相对较小的环形链中，隐藏涡旋态随着总功率的增加变得不稳定，而显式涡旋是稳定的，前提是相应的标量涡旋态也是稳定的。 还有稳定的混合态，其中各组分是具有不同拓扑电荷的涡旋。 此外，复合涡旋模式族中的简并现象导致了长寿命的呼吸态的存在，这些呼吸态可以在一个或两个组分中表现出涡旋电荷翻转。 显示英文摘要

摘要： It is known that, in continuous media, composite solitons with hidden vorticity, which are built of two mutually symmetric vortical components whose total angular momentum is zero, may be stable while their counterparts with explicit vorticity and nonzero total angular momentum are unstable. In this work, we demonstrate that the opposite occurs in discrete media: hidden vortex states in relatively small ring chains become unstable with the increase of the total power, while explicit vortices are stable, provided that the corresponding scalar vortex state is also stable. There are also stable mixed states, in which the components are vortices with different topological charges. Additionally, degeneracies in families of composite vortex modes lead to the existence of long-lived breather states which can exhibit vortex charge fipping in one or both components.