Low frequency gravitational waves through Berry phase

Article Type

Research Article

Publication Title

Physical Review D

Abstract

The detection of low-frequency gravitational waves astronomy has marked the advent of a new era in the domain of astrophysics and general relativity. Using the framework of interaction between gravitational waves (GWs) and a point two-particles-like detector, within a linearized gravity approach, we propose a toy detector model whose quantum state is being investigated at a low frequency of GWs. The detector is in simultaneous interaction with GWs and an external time-dependent (tuneable) two-dimensional harmonic potential. We observe that the interaction with low-frequency GWs naturally provides adiabatic approximation in the calculation and thereby can lead to a quantal geometric phase in the quantum states of the detector. Moreover, this can be controlled by tuning the frequency of the external harmonic potential trap. We argue that such a geometric phase detection may serve as a manifestation of the footprint of GWs. More importantly, our theoretical model may be capable of providing a layout for the detection of very-small-frequency GWs through the Berry phase.

DOI

https://10.1103/PhysRevD.108.124069

Publication Date

12-15-2023

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