标题： 二维非厄米晶格中的自束缚和表面孤子 显示英文标题

标题： Self-trapping and skin solitons in two-dimensional non-Hermitian lattices

摘要： 在非厄米光子学的背景下，我们系统地研究了二维非线性Hatano-Nelson晶格的谱和动力学方面。特别是，我们检查了由于非线性引起的自陷效应与由于非厄米体态效应引起的传播之间的相互作用。这些对抗性效应产生了幅度阈值——超过该阈值时单通道自陷占主导地位——这高度依赖于初始激发的位置和耦合不对称的程度。此外，我们识别出二维体态孤子解，并对其功率阈值和空间轮廓进行了表征。 显示英文摘要

摘要： In the context of non-Hermitian photonics, we systematically investigate the spectral and dynamical aspects of two-dimensional nonlinear Hatano-Nelson lattices. In particular, we examine the interplay between self-trapping, due to nonlinearity, and propagation due to the non-Hermitian skin effect. These antagonistic effects give rise to amplitude thresholds - above which self-trapping in a single-channel dominates - that depend highly on the position of initial excitation and the degree of coupling asymmetry. Additionally, we identify two-dimensional skin soliton solutions and characterize their power thresholds and spatial profiles.