Work

Real-Time Edge Dynamics of Non-Hermitian Lattices

Year: 2025

Type: article

Abstract: We derive the asymptotic forms of the Green's function at the open edges of general non-Hermitian band systems in all dimensions in the longtime limit, using a modified saddle point approximation and the analytic continuation of the momentum. The edge dynamics is determined by the "dominant saddle point," a complex momentum which, contrary to previous conjectures, may lie outside the generalized Brillouin zone. From this result, we obtain the effective edge Hamiltonians that evidently, as demonstrated by extensive numerical simulations, characterize the dynamics on the edges and can be probed in real-time experiments or spectroscopies.

Source: Physical Review Letters

DOI: 10.1103/llbb-pcgk

Authors: Tian-Hua Yang, Chen Fang

Institutions: Princeton University, Chinese Academy of Sciences, Kavli Institute for Theoretical Sciences, Institute of Physics

Language: English

Topic: Quantum Mechanics and Non-Hermitian Physics

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: Princeton University, National Natural Science Foundation of China, Chinese Academy of Sciences, National Key Research and Development Program of China

Awards: G4313370935, G5986343734, G7604532567, G8302581641, G8425566183