First measurements of high frequency cross-spectra from a pair of large Michelson interferometers

Abstract

Measurements are reported of the cross-correlation of spectra of differential position signals from the Fermilab Holometer, a pair of co-located 39 m long, high power Michelson interferometers with flat, broadband frequency response in the MHz range. The instrument obtains sensitivity to high frequency correlated signals far exceeding any previous measurement in a broad frequency band extending beyond the 3.8 MHz inverse light crossing time of the apparatus. The dominant but uncorrelated shot noise is averaged down over $2\times 10^8$ independent spectral measurements with 381 Hz frequency resolution to obtain $2.1\times 10^{-20}\mathrm{m}/\sqrt{\mathrm{Hz}}$ sensitivity to stationary signals. For signal bandwidths $\Delta f>11$ kHz, the sensitivity to strain $h$ or shear power spectral density of classical or exotic origin surpasses a milestone $PS{D}_{\delta h}<t_p$ where $t_p=5.39\times 10^{-44}/\mathrm{Hz}$ is the Planck time.

5 pages, 3 figures

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• LIGO: The Laser Interferometer Gravitational-Wave Observatory
• Improved Upper Limits on the Stochastic Gravitational-Wave Background from 2009-2010 LIGO and Virgo Data
• High-frequency corrections to the detector response and their effect on searches for gravitational waves
• Searching for stochastic gravitational waves using data from the two co-located LIGO Hanford detectors

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