Duality in the dynamics of Unruh-DeWitt detectors in conformally related spacetimes
Quantum Physics
2020-04-29 v3 General Relativity and Quantum Cosmology
High Energy Physics - Theory
Abstract
We prove a nonperturbative duality concerning the dynamics of harmonic-oscillator-type Unruh-DeWitt detectors in curved spacetimes. Concretely, using the Takagi transformation we show that the action of a harmonic oscillator Unruh-DeWitt detector with one frequency in a spacetime is equal to that of a detector with a different frequency in a conformally related spacetime. As an example, we show that the dynamics of simple stationary detectors in flat spacetime is dual to that of detectors in a cosmological scenario. The nonperturbative duality enables us to investigate entanglement harvesting in new scenarios in curved spacetime by using results obtained in simpler, conformally related spacetimes.
Keywords
Cite
@article{arxiv.2002.00987,
title = {Duality in the dynamics of Unruh-DeWitt detectors in conformally related spacetimes},
author = {Masahiro Hotta and Achim Kempf and Eduardo Martín-Martínez and Takeshi Tomitsuka and Koji Yamaguchi},
journal= {arXiv preprint arXiv:2002.00987},
year = {2020}
}
Comments
10 pages, 2 figures