Spatial Offset of Excited States in Non-Hermitian Lattices
Fuente:
arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866912375746068480 |
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| author | Jiang, Xiaohan Pan, Yuanyuan Zhang, Yang Xiong, Ye |
| author_facet | Jiang, Xiaohan Pan, Yuanyuan Zhang, Yang Xiong, Ye |
| contents | We investigate the behavior of light-wave packets injected into
non-Hermitian microcavity lattices under highly dissipative
conditions. While all eigenstates of the lattice exhibit exponential
decay, a specifically excited state maintains coherent propagation. In
a one-dimensional lattice, this state undergoes a spatial
displacement shift away from the injection position, which is
a fundamental property of non-Hermitian systems with a point
gap when the spectrum encircles a finite region in the
complex plane. Extending such a shift to two-dimensional lattices reveals
a geometrically anomalous V-shaped wave packet formation with orientation-tunable arms.
Notably, this geometric control mechanism
enables all-optical steering of non-Hermitian photonic states without
requiring structural modifications. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_09158 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Spatial Offset of Excited States in Non-Hermitian Lattices Jiang, Xiaohan Pan, Yuanyuan Zhang, Yang Xiong, Ye Optics Other Condensed Matter Applied Physics We investigate the behavior of light-wave packets injected into non-Hermitian microcavity lattices under highly dissipative conditions. While all eigenstates of the lattice exhibit exponential decay, a specifically excited state maintains coherent propagation. In a one-dimensional lattice, this state undergoes a spatial displacement shift away from the injection position, which is a fundamental property of non-Hermitian systems with a point gap when the spectrum encircles a finite region in the complex plane. Extending such a shift to two-dimensional lattices reveals a geometrically anomalous V-shaped wave packet formation with orientation-tunable arms. Notably, this geometric control mechanism enables all-optical steering of non-Hermitian photonic states without requiring structural modifications. |
| title | Spatial Offset of Excited States in Non-Hermitian Lattices |
| topic | Optics Other Condensed Matter Applied Physics |
| url | https://arxiv.org/abs/2505.09158 |