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We characterize the frequency-sensitivity of a cavity-stabilized laser toinertial forces and temperature fluctuations, and perform real-timefeed-forward to correct for these sources of noise. We measure the sensitivityof the cavity to linear accelerations, rotational accelerations, and rotationalvelocities by rotating it about three axes with accelerometers and gyroscopespositioned around the cavity. The worst-direction linear accelerationsensitivity of the cavity is $2(1) \times 10^{-11}$/g measured over 0-50 Hz,which is reduced by a factor of 50 to below $10^{-12}$/g for low-frequencyaccelerations by real-time feed-forward corrections of all of theaforementioned inertial forces. A similar idea is demonstrated in which laserfrequency drift due to temperature fluctuations is reduced by a factor of 70via real-time feed-forward from a temperature sensor located on the outer wallof the cavity vacuum chamber.

A cavity-stabilized laser with acceleration sensitivity below $10^{-12}$/g