English

Response of the Unruh-DeWitt detector in a gravitational wave background

General Relativity and Quantum Cosmology 2022-02-03 v2

Abstract

Applying the techniques of light-front quantization to quantize a scalar field in a monochromatic gravitational wave background, we manage to investigate the response of the Unruh-DeWitt detector coupled to a scalar field in the presence of a gravitational wave for the two cases moving along a free-falling trajectory and a constant-accelerating trajectory. The transition rate of the Unruh-DeWitt detector, in both cases, is different from the result with no gravitational wave, and the leading-order correction due to the gravitational wave survives the long-wavelength limit that formally takes the wavelength of the gravitational wave to infinity. This new effect of the gravitational wave on a quantum system is qualitatively different from that on a classical mechanical system, and cannot be understood in terms of gravitational wave tidal force.

Keywords

Cite

@article{arxiv.2109.14183,
  title  = {Response of the Unruh-DeWitt detector in a gravitational wave background},
  author = {Bo-Hung Chen and Dah-Wei Chiou},
  journal= {arXiv preprint arXiv:2109.14183},
  year   = {2022}
}

Comments

32 pages, 2 figures; contains some of the same material in arXiv:1605.06656; v2: various minor improvements made, version to appear in PRD