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Signatures of the Quantization of Gravity at Gravitational Wave Detectors

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arxiv 2010.08208 v1 pith:DIC5OD4T submitted 2020-10-16 hep-th gr-qc

Maulik Parikh , Frank Wilczek , George Zahariade This is my paper
classification hep-thgr-qc
keywords gravitationalfieldnoisedetectorquantizationcoherentgravitylength
verification ladder T0 review T1 audit T2 compute T3 formal
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We develop a formalism to calculate the response of a model gravitational wave detector to a quantized gravitational field. Coupling a detector to a quantum field induces stochastic fluctuations ("noise") in the length of the detector arm. The statistical properties of this noise depend on the choice of quantum state of the gravitational field. We characterize the noise for vacuum, coherent, thermal, and squeezed states. For coherent states, corresponding to classical gravitational configurations, we find that the effect of gravitational field quantization is small. However, the standard deviation in the arm length can be enhanced -- possibly significantly -- when the gravitational field is in a non-coherent state. The detection of this fundamental noise could provide direct evidence for the quantization of gravity and for the existence of gravitons.

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Cited by 13 Pith papers

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