Kinematics of Acceleration-Induced Excitations in Confined Quantum Fields

Fuente: arXiv
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Main Authors: Shah, Hemansh, Kolekar, Sanved
Format: Preprint
Published: 2025
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_version_ 1866911395139813376
author Shah, Hemansh
Kolekar, Sanved
author_facet Shah, Hemansh
Kolekar, Sanved
contents We investigate quantum field excitations in a rigid cavity that undergoes a transition from inertial motion to uniform acceleration while maintaining constant proper length. By constructing exact Bogoliubov transformations between inertial and accelerated mode bases, we analyze the induced excitations and identify a universal power-law decay in the excitation power spectrum and an alternating pattern in particle production. The spectrum's dependence solely on the acceleration, and not on the size of the box or the observer's position, highlights a kinematic universality akin to that seen in horizon thermodynamics. Generalization to time-dependent accelerations reveals a convolution structure for the Bogoliubov coefficients, with resonant oscillations selectively enhancing mode excitations. These results provide new analytical insights into the interplay between acceleration, confinement, and quantum excitations.
format Preprint
id arxiv_https___arxiv_org_abs_2510_22797
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Kinematics of Acceleration-Induced Excitations in Confined Quantum Fields
Shah, Hemansh
Kolekar, Sanved
General Relativity and Quantum Cosmology
81Txx
We investigate quantum field excitations in a rigid cavity that undergoes a transition from inertial motion to uniform acceleration while maintaining constant proper length. By constructing exact Bogoliubov transformations between inertial and accelerated mode bases, we analyze the induced excitations and identify a universal power-law decay in the excitation power spectrum and an alternating pattern in particle production. The spectrum's dependence solely on the acceleration, and not on the size of the box or the observer's position, highlights a kinematic universality akin to that seen in horizon thermodynamics. Generalization to time-dependent accelerations reveals a convolution structure for the Bogoliubov coefficients, with resonant oscillations selectively enhancing mode excitations. These results provide new analytical insights into the interplay between acceleration, confinement, and quantum excitations.
title Kinematics of Acceleration-Induced Excitations in Confined Quantum Fields
topic General Relativity and Quantum Cosmology
81Txx
url https://arxiv.org/abs/2510.22797