Spin gravitational resonance and graviton detection

Abstract

We develop a gravitational analogue of spin magnetic resonance, called spin gravitational resonance, whereby a gravitational wave interacts with a magnetic field to produce a spin transition. In particular, an external magnetic field separates the energy spin states of a spin-1/2 particle, and the presence of the gravitational wave produces a perturbation in the components of the magnetic field orthogonal to the gravitational wave propagation. In this framework we test Dyson's conjecture that individual gravitons cannot be detected. Although we find no fundamental laws preventing single gravitons being detected with spin gravitational resonance, we show that it cannot be used in practice, in support of Dyson's conjecture.

6 pages, 1 figure

References in corpus (4)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• Spin-torsion coupling and gravitational moments of Dirac fermions: theory and experimental bounds
• Aspects of Graviton Detection: Graviton Emission and Absorption by Atomic Hydrogen
• Exact Foldy-Wouthuysen transformation for gravitational waves and magnetic field background

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