近日，中国人民大学物理学院的张威及其研究团队取得一项新进展。经过不懈努力，他们揭示有损非局部系统中的反常量子动力学。相关研究成果已于2024年12月19日在国际知名学术期刊《中国物理快报》上发表。

在本研究中，该研究团队探讨了一个具有非局域耦合的非厄米耗散晶格，并展示了多种有趣的静态和动态现象。在全局耦合（即所有格点之间相互耦合）的情况下，研究人员观察到了反常跳跃共振现象，即一个最初放置在单个格点的量子漫步者几乎能完全逃离系统边界，无论其初始位置如何。

在非全局耦合（即无限范围耦合）的情况下，非局域跳跃与非厄米趋肤效应之间的相互作用导致了局部体模式的出现，这些模式呈现出多部分密度分布。局部体模式的存在引发了量子漫步者的非平凡动力学行为，表现为在空间上分离的区域内出现多个损失概率的峰值。这项研究结果揭示了非厄米系统中由非局域耦合诱导的独特性质。

据悉，非厄米趋肤效应和边缘爆发从静态和动态两个角度反映了空间边界在非厄米系统中至关重要的作用。

附：英文原文

Title: Anomalous Quantum Dynamics in Lossy Nonlocal System

Author:Liwei Qiao¹, Wei Zhang^1,2,3*, and Kaiye Shi^1,2,4,5*

Issue&Volume: 2024-12-19

Abstract: The non-Hermitian skin effect and edge burst reflect the vital role of spatial boundaries in non-Hermitian systems from both static and dynamic perspectives. In this study, we investigate a non-Hermitian dissipative lattice with nonlocal coupling and demonstrate many interesting static and dynamic phenomena. In the case of global coupling with all sites coupled with each other, we observe anomalous hopping resonance, where a quantum walker initially placed at a single site almost completely escapes from the boundary of the system regardless of its initial position. In the case of non-global coupling, which is infinite-range coupling, the interplay between nonlocal hopping and the non-Hermitian skin effect results in the emergence of local bulk modes exhibiting a multipartite density distribution. The presence of local bulk modes induces the nontrivial dynamics of a quantum walker, which features multiple peaks of lost probability in spatially separated domains. Our findings demonstrate unique properties induced by nonlocal coupling in non-Hermitian systems.

DOI: 10.1088/0256-307X/41/12/120301

Source: https://cpl.iphy.ac.cn/10.1088/0256-307X/41/12/120301