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2021

Bound on Quantum Fluctuations in Gravitational Waves from LIGO-Virgo

Hertzberg, Mark P., Litterer, Jacob A.

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We derive some of the central equations governing quantum fluctuations in gravitational waves, making use of general relativity as a sensible effective quantum theory at large distances.

We begin with a review of classical gravitational waves in general relativity, including the energy in each mode.
We then form the quantum ground state and coherent state, before then obtaining an explicit class of squeezed states.
Since existing gravitational wave detections arise from merging black holes, and since the quantum nature of black holes remains puzzling, one can be open-minded to the possibility that the wave is in an interesting quantum mechanical state, such as a highly squeezed state.

Bound on Quantum Fluctuations in Gravitational Waves from LIGO-Virgo · Around

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