The Role of Exceptional Points and Transmission Peak Degeneracies in Non-Hermitian Sensing
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arXiv
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| Format: | Preprint |
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2025
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| author | Carney, Alexander S. Salcedo-Gallo, Juan S. Bedkihal, Salil K. Fitzpatrick, Mattias |
| author_facet | Carney, Alexander S. Salcedo-Gallo, Juan S. Bedkihal, Salil K. Fitzpatrick, Mattias |
| contents | Transmission peak degeneracies (TPDs) have emerged as a promising alternative to exceptional points (EPs) for non-Hermitian sensing, providing square-root frequency splitting without the eigenbasis collapse and associated noise amplification that limit EP sensors. However, existing treatments of TPDs remain fragmented, lacking a unified theoretical framework, systematic figures of merit, or design principles for practical implementation. Here, we develop a comprehensive theory of two-dimensional TPDs that clarifies their relationship to EPs, maps their locations in parameter space, and provides analytic figures of merit for sensor design. We validate our theory using a tunable cavity-magnonics platform with in situ control of mode frequency, dissipation, and complex coupling via an effective synthetic gauge field. Our platform enables systematic exploration of six representative EP-TPD configurations spanning PT-symmetric, anti-PT-symmetric and anyonic-PT-symmetric regimes. Crucially, we show that TPDs, unlike EPs, retain square-root splitting even under nuisance parameter drift through generalized transmission extrema degeneracies (TEDs). We further identify specific robust TPD configurations that minimize the impact of nuisance drift. These findings establish a unified theoretical and experimental framework for TPD-based non-Hermitian sensing. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_09141 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Role of Exceptional Points and Transmission Peak Degeneracies in Non-Hermitian Sensing Carney, Alexander S. Salcedo-Gallo, Juan S. Bedkihal, Salil K. Fitzpatrick, Mattias Applied Physics Optics Quantum Physics Transmission peak degeneracies (TPDs) have emerged as a promising alternative to exceptional points (EPs) for non-Hermitian sensing, providing square-root frequency splitting without the eigenbasis collapse and associated noise amplification that limit EP sensors. However, existing treatments of TPDs remain fragmented, lacking a unified theoretical framework, systematic figures of merit, or design principles for practical implementation. Here, we develop a comprehensive theory of two-dimensional TPDs that clarifies their relationship to EPs, maps their locations in parameter space, and provides analytic figures of merit for sensor design. We validate our theory using a tunable cavity-magnonics platform with in situ control of mode frequency, dissipation, and complex coupling via an effective synthetic gauge field. Our platform enables systematic exploration of six representative EP-TPD configurations spanning PT-symmetric, anti-PT-symmetric and anyonic-PT-symmetric regimes. Crucially, we show that TPDs, unlike EPs, retain square-root splitting even under nuisance parameter drift through generalized transmission extrema degeneracies (TEDs). We further identify specific robust TPD configurations that minimize the impact of nuisance drift. These findings establish a unified theoretical and experimental framework for TPD-based non-Hermitian sensing. |
| title | The Role of Exceptional Points and Transmission Peak Degeneracies in Non-Hermitian Sensing |
| topic | Applied Physics Optics Quantum Physics |
| url | https://arxiv.org/abs/2506.09141 |