https://doi.org/10.1140/epjc/s10052-020-8092-6
Regular Article - Theoretical Physics
A formalism for magnon gravitational wave detectors
Department of Physics, Kobe University, Kobe, 657-8501, Japan
* e-mail: asuka-ito@godzilla.kobe-u.ac.jp
Received:
18
April
2020
Accepted:
27
May
2020
Published online:
16
June
2020
In order to detect high frequency gravitational waves, we need a new detection method. In this paper, we develop a formalism for a gravitational wave detector using magnons in a cavity. Using Fermi normal coordinates and taking the non-relativistic limit, we obtain a Hamiltonian for magnons in gravitational wave backgrounds. Given the Hamiltonian, we show how to use the magnons for detecting high frequency gravitational waves. Furthermore, as a demonstration of the magnon gravitational wave detector, we give upper limits on GHz gravitational waves by utilizing known results of magnon experiments for an axion dark matter search.
© The Author(s), 2020
