Regular Article - Theoretical Physics
A formalism for magnon gravitational wave detectors
Department of Physics, Kobe University, Kobe, 657-8501, Japan
* e-mail: email@example.com
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