Anomalous Quantum Dynamics in Lossy Nonlocal System

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.