论文标题
通过双核系统中的自旋轨道耦合对一维城镇孤子的稳定
Stabilization of one-dimensional Townes solitons by spin-orbit coupling in a dual-core system
论文作者
论文摘要
最近证明，在两大组件系统中，二维城镇孤子（TSS）具有立方自我关注的两种组分系统，通常通过临界崩溃而使它们不稳定，可以通过bose-inder-einstein Condens和Optics中的线性旋转式轨道耦合（SOC）稳定。我们证明，在平面双核波导中，具有光空间孤子的一维TSS，具有主要的五分五核自我关注，可以通过通过波导岩心之间的斜率模仿的SOC样术语来稳定。因此，SOC提供了稳定TSS的通用机制。系统的数值考虑和分析近似值的组合确定了系统主（半偶然）和附件（有限）带盖中偏斜的孤子子的巨大稳定区域。倾斜（“移动”）孤子不稳定，自发地演变成强大的呼吸器。对于宽孤子，可以忽略由系统中的第二个衍生物表示的衍射，从而导致具有有限带隙的简化模型。它的偏斜 - 抗对称缝隙孤子子几乎稳定，靠近缝隙的底部。
It was recently demonstrated that two-dimensional Townes solitons (TSs) in two-component systems with cubic self-focusing, which are normally made unstable by the critical collapse, can be stabilized by linear spin-orbit coupling (SOC), in Bose-Einstein condensates and optics alike. We demonstrate that one-dimensional TSs, realized as optical spatial solitons in a planar dual-core waveguide with dominant quintic self-focusing, may be stabilized by SOC-like terms emulated by obliquity of the coupling between cores of the waveguide. Thus, SOC offers a universal mechanism for the stabilization of the TSs. A combination of systematic numerical considerations and analytical approximations identifies a vast stability area for skew-symmetric solitons in the system's main (semi-infinite) and annex (finite) bandgaps. Tilted ("moving") solitons are unstable, spontaneously evolving into robust breathers. For broad solitons, diffraction, represented by second derivatives in the system, may be neglected, leading to a simplified model with a finite bandgap. It is populated by skew-antisymmetric gap solitons, which are nearly stable close to the gap's bottom.
