High-order exceptional points and stochastic resonance in pseudo-Hermitian systems
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866909353550807040 |
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| author | Panahi, Shirin Ye, Li-Li Lai, Ying-Cheng |
| author_facet | Panahi, Shirin Ye, Li-Li Lai, Ying-Cheng |
| contents | Exceptional points, a remarkable phenomenon in physical systems, have been exploited for sensing applications. It has been demonstrated recently that it can also utilize as sensory threshold in which the interplay between exceptional-point dynamics and noise can lead to enhanced performance. Most existing works focused on second-order exceptional points. We investigate the stochastic dynamics associated with high-order exceptional points with a particular eye towards optimizing sensing performance by developing a theoretical framework based on pseudo-Hermiticity. Our analysis reveals three distinct types of frequency responses to external perturbations. A broad type of stochastic resonance is uncovered where, as the noise amplitude increases, the signal-to-noise ratio reaches a global maximum rapidly but with a slow decaying process afterwards, indicating achievable high performance in a wide range of the noise level. These results suggest that stochastic high-order exceptional-point dynamics can be exploited for applications in signal processing and sensor technologies. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_13724 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | High-order exceptional points and stochastic resonance in pseudo-Hermitian systems Panahi, Shirin Ye, Li-Li Lai, Ying-Cheng Applied Physics Dynamical Systems Adaptation and Self-Organizing Systems Exceptional points, a remarkable phenomenon in physical systems, have been exploited for sensing applications. It has been demonstrated recently that it can also utilize as sensory threshold in which the interplay between exceptional-point dynamics and noise can lead to enhanced performance. Most existing works focused on second-order exceptional points. We investigate the stochastic dynamics associated with high-order exceptional points with a particular eye towards optimizing sensing performance by developing a theoretical framework based on pseudo-Hermiticity. Our analysis reveals three distinct types of frequency responses to external perturbations. A broad type of stochastic resonance is uncovered where, as the noise amplitude increases, the signal-to-noise ratio reaches a global maximum rapidly but with a slow decaying process afterwards, indicating achievable high performance in a wide range of the noise level. These results suggest that stochastic high-order exceptional-point dynamics can be exploited for applications in signal processing and sensor technologies. |
| title | High-order exceptional points and stochastic resonance in pseudo-Hermitian systems |
| topic | Applied Physics Dynamical Systems Adaptation and Self-Organizing Systems |
| url | https://arxiv.org/abs/2410.13724 |