Demonstration of static atomic gravimetry using Kalman filter

Abstract

The measurement precision of the static atomic gravimetry is limited by white Gaussian noise in short term, which costs previous works an inevitable integration to reach the precision demanded. Here, we propose a statistical model based on the quantum projection noise and apply the associated Kalman filter with the waveform estimation in static atomic gravimetry. With the white Gaussian noise significantly removed by the Kalman-filter formalism, the measurement noise of the gravimetry is reshaped in short term and shows τ1/2 feature that corresponds to a random walk. During 200 h of static measurement of gravity, the atomic gravimeter using Kalman filter demonstrates a sensitivity as good as 0.6 [Formula: see text] and highlights a precision of 1.7 [Formula: see text] at the measuring time of a single sample. The measurement noise achieved is also lower than the quantum projection limit below ∼30 s.