2025/07/30 by Arash Azizi, Azizi, Arash
Medicine · Physics and Astronomy · #FOS: Physical sciences #General Physics (physics.gen-ph) #Nuclear Physics and Applications #Radiation Detection and Scintillator Technologies #Radiation Therapy and Dosimetry
paper · pdf · doi:10.48550/arxiv.2508.11637
openalex publication_date 2025/07/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/03
We present a generalized framework for n-photon processes involving a uniformly accelerated Unruh-DeWitt detector interacting with a massless scalar field. We utilize the nth order Dyson series to derive the final quantum state for an arbitrary number of interactions. Our analysis covers both even-order processes, which return the detector to its initial state, and odd-order processes, which result in a change of the detector's state. By employing a unified formalism and performing a complete, time-ordered integration, we obtain exact analytical expressions for the n-photon states. The results reveal a rich structure of resonant denominators corresponding to multi-particle processes, including new field-mediated resonances independent of the detector's energy gap for n>2. Crucially, the analysis of odd-order transitions reveals an exponential factor, exp(-πω/a), characteristic of the Unruh thermal bath. By considering processes starting from the detector's excited state, we demonstrate that the ratio of excitation to de-excitation amplitudes precisely recovers the Boltzmann factor, providing a higher-order confirmation of thermal detailed balance for the Unruh effect. This work provides a unified tool for studying multipartite entanglement and thermal phenomena in non-inertial frames.