发表机构
National University of Singapore（新加坡国立大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文揭示非厄米多体系统中希尔伯特空间连通性通过竞争放大通道与全局反馈回路控制谱放大和态局域化，粒子约束可诱导趋肤局域化，为多体非厄米临界转变提供新调控手段。
AI 中文摘要
各种奇异的多体现象，如量子疤痕和分形子，已被联系到希尔伯特空间碎裂。在本工作中，我们发现非厄米设置下希尔伯特空间连通性具有更普适和更根本的影响，紧密控制着谱放大和态局域化的本质。远比实空间晶格复杂，非厄米多体希尔伯特空间图不仅拥有复杂的竞争放大通道，还存在连接由粒子对称性关联的远程福克态的全局反馈回路。这些特征导致具有非常规标度行为和局域化性质的放大行为。粒子占据约束还能移除选定的希尔伯特空间路径，导致在原本互易过程中出现稳健的单极和不对称双极趋肤局域化。这些结果超越了简单的相互作用玻色子模型，确立了希尔伯特空间连通性作为多体非厄米临界转变的多功能控制旋钮。
英文摘要
Various exotic many-body phenomena such as quantum scars and fractons have been linked to Hilbert space fragmentation. In this work, we find that in non-Hermitian settings, Hilbert space connectivity has an even more universal and fundamental influence, tightly controlling the nature of spectral amplification and state localization. Far more complicated than real-space lattices, non-Hermitian many-body Hilbert space graphs not only possess intricate competing amplification channels, but also global feedback loops connecting remote Fock states related by particle symmetry. These features lead to amplification behavior with unconventional scaling and localization properties. Particle occupation constraints can furthermore remove selected Hilbert space pathways, leading to robust unipolar and asymmetric bipolar skin localization in otherwise reciprocal processes. These results extend beyond simple interacting bosonic models and establish Hilbert space connectivity as a versatile control knob for many-body non-Hermitian critical transitions.
Comments30 pages, 22 figures
