Nonadiabatic nonlinear non-Hermitian quantized pumping
Fuente:
arXiv
Guardado en:
| Autores principales: | , , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2023
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866916384837992448 |
|---|---|
| author | Ezawa, Motohiko Ishida, Natsuko Ota, Yasutomo Iwamoto, Satoshi |
| author_facet | Ezawa, Motohiko Ishida, Natsuko Ota, Yasutomo Iwamoto, Satoshi |
| contents | We analyze a quantized pumping in a nonlinear non-Hermitian photonic system with nonadiabatic driving. The photonic system is made of a waveguide array, where the distances between adjacent waveguides are modulated. It is described by the Su-Schrieffer-Heeger model together with a saturated nonlinear gain term and a linear loss term. A topological interface state between the topological and trivial phases is stabilized by the combination of a saturated nonlinear gain term and a linear loss term. We study the pumping of the topological interface state. We define the transfer-speed ratio $ω/Ω$ by the ratio of the pumping speed $% ω$ of the center of mass of the wave packet to the driving speed $ Ω$ of the topological interface. It is quantized as $ω/Ω=1$ in the adiabatic limit. It remains to be quantized for slow driving even in the nonadiabatic regime, which is a nonadiabatic quantized pump. On the other hand, there is almost no pump for fast driving. We find a transition in pumping as a function of the driving speed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_17987 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Nonadiabatic nonlinear non-Hermitian quantized pumping Ezawa, Motohiko Ishida, Natsuko Ota, Yasutomo Iwamoto, Satoshi Mesoscale and Nanoscale Physics Optics We analyze a quantized pumping in a nonlinear non-Hermitian photonic system with nonadiabatic driving. The photonic system is made of a waveguide array, where the distances between adjacent waveguides are modulated. It is described by the Su-Schrieffer-Heeger model together with a saturated nonlinear gain term and a linear loss term. A topological interface state between the topological and trivial phases is stabilized by the combination of a saturated nonlinear gain term and a linear loss term. We study the pumping of the topological interface state. We define the transfer-speed ratio $ω/Ω$ by the ratio of the pumping speed $% ω$ of the center of mass of the wave packet to the driving speed $ Ω$ of the topological interface. It is quantized as $ω/Ω=1$ in the adiabatic limit. It remains to be quantized for slow driving even in the nonadiabatic regime, which is a nonadiabatic quantized pump. On the other hand, there is almost no pump for fast driving. We find a transition in pumping as a function of the driving speed. |
| title | Nonadiabatic nonlinear non-Hermitian quantized pumping |
| topic | Mesoscale and Nanoscale Physics Optics |
| url | https://arxiv.org/abs/2310.17987 |