Real-time edge dynamics of non-Hermitian lattices
Fuente:
arXiv
Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2025
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866912673155776512 |
|---|---|
| author | Yang, Tian-Hua Fang, Chen |
| author_facet | Yang, Tian-Hua Fang, Chen |
| contents | 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 long-time 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_11505 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Real-time edge dynamics of non-Hermitian lattices Yang, Tian-Hua Fang, Chen Mesoscale and Nanoscale Physics Quantum Gases Classical Physics Quantum Physics 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 long-time 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. |
| title | Real-time edge dynamics of non-Hermitian lattices |
| topic | Mesoscale and Nanoscale Physics Quantum Gases Classical Physics Quantum Physics |
| url | https://arxiv.org/abs/2503.11505 |