标题： 一维费米格点碎片化希尔伯特空间中的非厄米皮肤效应 显示英文标题

标题： Non-Hermitian skin effect in fragmented Hilbert spaces of one-dimensional fermionic lattices

摘要： 我们发现，希尔伯特空间碎片化与多个非厄米泵浦通道之间的相互作用导致了实空间和福克空间中的不同非厄米皮肤效应（NHSE）。 以一个具有次近邻跃迁和强相互作用的扩展哈塔诺-纳尔逊模型为例，我们发现加载在晶格中的两个费米子根据它们所属的希尔伯特空间碎片表现出不同的实空间NHSE。 此外，在由碎片化产生的高能区域中，两粒子束缚态在福克空间中形成一维晶格，从而导致福克空间的NHSE。 在半填充情况下，虽然实空间的NHSE被多体效应抑制，但发现不同碎片化的能级区域和子区域中出现了更丰富的福克空间类似皮肤的局域化模式。 这项工作扩展了我们对NHSE与希尔伯特空间碎片化之间相互作用的理解，并为它们在相互作用非厄米系统中的表现提供了详细的见解。 显示英文摘要

摘要： We discover that the interplay between Hilbert space fragmentation and multiple non-Hermitian pumping channels leads to distinct non-Hermitian skin effect (NHSE) in real and Fock spaces. Using an extended Hatano-Nelson model with next-nearest neighbor hopping and a strong interaction as an example, we find that two fermions loaded in the lattice exhibit different real-space NHSE depending on the Hilbert space fragments they belong to. Moreover, in the high-energy sector resulting from the fragmentation, the two-particle bound states form a one-dimensional lattice in Fock space, resulting in the Fock-space NHSE. At half-filling, while real-space NHSE is suppressed by many-body effects, richer patterns of Fock-space skin-like localization are found to emerge for different fragmented energy sectors and subsectors. This work extends our understanding of the interplay between NHSE and Hilbert space fragmentation and provides detailed insights into their manifestation in interacting non-Hermitian systems.