Fig. 1. Schematic diagram of our atom gravimeter.

Fig. 2. Below 500 Hz, the weighting function for the vibration phase noise as a function of frequency.

Fig. 3. 50 Hz vibration signal collected by the seismometer.

Fig. 4. Influence of different frequency vibrations on the atom interferometer.

Fig. 5. After calibration of the transfer functions A(50Hz) and φ(50Hz), a sinusoidal curve is obtained. The black dot is the relationship between transfer probability and vibration correction phase; we use the seismometer to record the vibration and calculate the correction phase, and the transfer probability is measured by the atom interferometer. The red line is the sine fit.

Fig. 6. Interference fringes in different vibration compensations. (a) The original fringe without vibration compensation while the vibration frequency is 50 Hz. (b) The fringe after vibration compensation while the vibration frequency is 50 Hz, A(50Hz)=−1.299dB, and φ(50Hz)=−64deg. (c) The original fringe without vibration compensation while the vibration frequency is 80 Hz. (d) The fringe after vibration compensation while the vibration frequency is 80 Hz, A(80Hz)=−1.299dB, and φ(80Hz)=−64deg. (e) The fringe after vibration compensation while the vibration frequency is 80 Hz, A(80Hz)=−4.895dB, and φ(80Hz)=−143.2deg.

Fig. 7. Atom interference fringe can be optimized by using vibration compensation.

Fig. 8. Atom interference fringe in an extremely noisy environment. The black dot is the data before vibration compensation, the green dot is the data after vibration compensation, and the red line is the sine fit of the green dot.

Fig. 9. Allan standard deviation of three different situations.

Fig. 10. Gravity measurement versus the different vibration amplitudes.

Fig. 11. Gravity measurement result at different vibration frequencies.