The non-Hermitian skin effect describes the concentration of an extensive number of eigenstates near the boundaries of certain dissipative systems. This phenomenon has raised a huge interest in different areas of physics, including photonics, deeply expanding our understanding of non-Hermitian systems and opening up new avenues in both fundamental and applied aspects of topological phenomena. The skin effect has been associated to a nontrivial point-gap spectral topology and has been experimentally demonstrated in a variety of synthetic matter systems, including photonic lattices. In most of physical models exhibiting the non-Hermitian skin effect full or partial wave coherence is generally assumed. Here we push the concept of skin effect into the fully incoherent regime and show that rather generally (but not universally) the non-Hermitian skin effect persists under dephasing dynamics. The results are illustrated by considering incoherent light dynamics in non-Hermitian photonic quantum walks.

非厄米集肤效应描述了某些耗散系统边界附近大量本征态的浓度。这种现象引起了人们对包括光子学在内的不同物理领域的巨大兴趣，深入扩展了我们对非厄米系统的理解，并在拓扑现象的基础和应用方面开辟了新的途径。集肤效应与重要的点隙光谱拓扑相关，并已在包括光子晶格在内的各种合成物质系统中得到实验证明。在大多数表现出非厄米集肤效应的物理模型中，通常假设完全或部分波相干性。在这里，我们将趋肤效应的概念推入完全不相干的状态，并表明非厄米趋肤效应在相移动力学下通常（但不是普遍）持续存在。通过考虑非厄米光子量子行走中的非相干光动力学来说明结果。