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Published December 15, 2018 | Submitted + Published
Journal Article Open

Quantum interactions between a laser interferometer and gravitational waves

Abstract

LIGO's detection of gravitational waves marks a first step in measurable effects of general relativity on quantum matter. In their current operation, laser interferometer gravitational-wave detectors are already quantum limited at high frequencies, and planned upgrades aim to decrease the noise floor to the quantum level over a wider bandwidth. This raises the interesting idea of what a gravitational-wave detector—or, more generally, an optomechanical system—may reveal about gravity beyond detecting gravitational waves from highly energetic astrophysical events, such as its quantum versus classical nature. In this paper we develop a quantum treatment of gravitational waves and their interactions with the detector. We show that the treatment recovers known equations of motion in the classical limit for gravity, and we apply our formulation to study the system dynamics, with a particular focus on the implications of gravity quantization. Our framework can also be extended to study alternate theories of gravity and the ways in which their features manifest themselves in a quantum optomechanical system.

Additional Information

© 2018 American Physical Society. Received 29 August 2018; published 10 December 2018. The research of Y. C. and B. P. is supported by NSF Grants No. PHY-1708212, No. PHY-1404569, and No. PHY-1708213 and the Simons Foundation. We thank H. Miao and Y. Ma for their early contributions to this work, and also thank them along with R. Adhikari for productive discussions.

Attached Files

Published - PhysRevD.98.124006.pdf

Submitted - 1808.09122.pdf

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August 19, 2023
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