The Rev Dodgson said:
In some science show on last night they said that in seeking evidence of gravity waves they were measuring distances of the order of km to a precision of 1/billionth 1/thousandth the diameter of a proton.
Is that correct? If so, how can they possibly do that? If not, what precision do they work to?
I wish I knew how they could possibly do that. I do know that they adjust distances on a very fine scale using piezoelectricity. In piezoelectricity each atom is slightly squeezed when an electric charge is applied, and this allows accurate squeezing to much less than the diameter of an atom.
An article on the limitations on the accuracy of positioning can be found here https://ligo.caltech.edu/page/research-development
I don’t claim to fully understand it, but it refers to concepts of:
“More than thirty different control systems are required to hold all of the lasers and mirrors in proper alignment and position”.
“Gravitational wave interferometric detectors are the most sensitive position meters in existence, aiming to measure strain (∆L/L) sensitivities of the order of 10 -23. In order to achieve such incredible sensitivities, the LIGO detectors employ 4 km long Fabry-Perot cavities in the interferometer arms”
“Thermal fluctuations in mechanical systems (“thermal noise”) are a limiting noise source in current gravitational wave detectors, in the best frequency references, and in the field of macroscopic quantum measurement. Thermal fluctuations can be limiting, despite having a magnitude typically of order 10 -18 m”
“At frequencies below 200 Hz LIGO’s detector is limited by the Brownian motion noise”
“The fluctuating radiation pressure from the photons will result in fluctuations in the positions of the mirrors. This quantum radiation pressure noise (RPN) limits LIGO’s ability to measure accurately the strain of a passing gravitational wave” … “this quantum noise is more rigorously described by the interaction of quantum vacuum fluctuations, which enter the readout port of the interferometer with the circulating laser light.”
“The variances in orthogonal quadratures of a vacuum state are governed by a Heisenberg-like-inequality. One can reduce the variance in one quadrature, mitigating the corresponding noise term at the expense of heightened noise of a different type. The result is called a ‘squeezed vacuum state’, with the act itself known as squeezing.”