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| Format: | Preprint |
| Published: |
2025
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| Online Access: | https://arxiv.org/abs/2509.14293 |
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| _version_ | 1866916955490877440 |
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| author | Azizi, Arash |
| author_facet | Azizi, Arash |
| contents | We present a closed-form analysis of second-order two-photon emission from a uniformly accelerated Unruh-DeWitt detector with a smooth Gaussian switch and derivative coupling. The time-ordered Dyson integrals are evaluated exactly, yielding a single spectral amplitude that simultaneously covers all four channels--right-travelling/right-travelling (RR), left-travelling/left-travelling (LL), right-travelling/left-travelling (RL), and left-travelling/right-travelling (LR). The spectra are organized by narrow kinematic gates (sum-frequency for RR/LL, difference-frequency for RL/LR) and a causal resonant denominator encoded by the Faddeeva function. As the gate time increases, the Gaussian factors sharpen into delta constraints and recover the eternal-interaction response. We map scaling with acceleration, gap, and duration, and show that the single-particle marginal combines a sharp nonthermal resonance with an Unruh thermal tail. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_14293 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Two-Photon Emission from an Accelerated Detector with Gaussian Switching Azizi, Arash General Physics We present a closed-form analysis of second-order two-photon emission from a uniformly accelerated Unruh-DeWitt detector with a smooth Gaussian switch and derivative coupling. The time-ordered Dyson integrals are evaluated exactly, yielding a single spectral amplitude that simultaneously covers all four channels--right-travelling/right-travelling (RR), left-travelling/left-travelling (LL), right-travelling/left-travelling (RL), and left-travelling/right-travelling (LR). The spectra are organized by narrow kinematic gates (sum-frequency for RR/LL, difference-frequency for RL/LR) and a causal resonant denominator encoded by the Faddeeva function. As the gate time increases, the Gaussian factors sharpen into delta constraints and recover the eternal-interaction response. We map scaling with acceleration, gap, and duration, and show that the single-particle marginal combines a sharp nonthermal resonance with an Unruh thermal tail. |
| title | Two-Photon Emission from an Accelerated Detector with Gaussian Switching |
| topic | General Physics |
| url | https://arxiv.org/abs/2509.14293 |