Quantum Noise from Vacuum Field Injection in Optical Cavities with Diffraction-related Loss
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arXiv
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| Autores principales: | , , , , , , , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866914546765004800 |
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| author | Umemura, Kurumi Ishikawa, Tomohiro Tsuji, Kenji Iwaguchi, Shoki Enomoto, Yutaro Michimura, Yuta Komori, Kentaro Kokeyama, Keiko Kawamura, Seiji |
| author_facet | Umemura, Kurumi Ishikawa, Tomohiro Tsuji, Kenji Iwaguchi, Shoki Enomoto, Yutaro Michimura, Yuta Komori, Kentaro Kokeyama, Keiko Kawamura, Seiji |
| contents | The space-based gravitational wave detector DECIGO is designed to observe primordial gravitational waves with 1,000 km Fabry-Perot cavities. Its sensitivity is limited by quantum noise, and although squeezing can suppress it, its effectiveness is reduced by diffraction-related loss, which leads to the injection of vacuum fields into the interferometer. This paper presents a rigorous treatment of quantum field propagation in the presence of diffraction and higher-order mode losses, deriving input-output relations, and modeling their impact via an optomechanical block diagram. The analysis shows that diffraction-induced vacuum fields slightly increase radiation pressure noise, while shot noise remains unaffected. Nevertheless, cavity detuning with homodyne detection yields a dip in the noise spectrum. By accurately capturing these effects, this framework enables a detailed study of sensitivity improvements made by either just detuning the main cavity while implementing homodyne detection, or by combining this with optical-spring quantum locking using auxiliary cavities, laying a firm foundation for enhancing DECIGO's capability to detect primordial gravitational waves. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_04630 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quantum Noise from Vacuum Field Injection in Optical Cavities with Diffraction-related Loss Umemura, Kurumi Ishikawa, Tomohiro Tsuji, Kenji Iwaguchi, Shoki Enomoto, Yutaro Michimura, Yuta Komori, Kentaro Kokeyama, Keiko Kawamura, Seiji Optics General Relativity and Quantum Cosmology Instrumentation and Detectors The space-based gravitational wave detector DECIGO is designed to observe primordial gravitational waves with 1,000 km Fabry-Perot cavities. Its sensitivity is limited by quantum noise, and although squeezing can suppress it, its effectiveness is reduced by diffraction-related loss, which leads to the injection of vacuum fields into the interferometer. This paper presents a rigorous treatment of quantum field propagation in the presence of diffraction and higher-order mode losses, deriving input-output relations, and modeling their impact via an optomechanical block diagram. The analysis shows that diffraction-induced vacuum fields slightly increase radiation pressure noise, while shot noise remains unaffected. Nevertheless, cavity detuning with homodyne detection yields a dip in the noise spectrum. By accurately capturing these effects, this framework enables a detailed study of sensitivity improvements made by either just detuning the main cavity while implementing homodyne detection, or by combining this with optical-spring quantum locking using auxiliary cavities, laying a firm foundation for enhancing DECIGO's capability to detect primordial gravitational waves. |
| title | Quantum Noise from Vacuum Field Injection in Optical Cavities with Diffraction-related Loss |
| topic | Optics General Relativity and Quantum Cosmology Instrumentation and Detectors |
| url | https://arxiv.org/abs/2505.04630 |