Characterization of an Atom Interferometer Gravimeter with Classical Sensors for the Use in Geodesy and Geophysics

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Characterization of an Atom Interferometer Gravimeter with Classical Sensors for the Use in Geodesy and Geophysics M. Schilling C. Freier V. Schkolnik M. Hauth H. Wziontek H.-G. Scherneck A. Peters and J. Müller schilling@ife.uni-hannover.de 1

Motivation Absolut Gravimetry is dominated by laser interferometers with falling corner cubes In recent years a number of Atom Interferometer (AI) gravimeters have been developed AOSense & µquans: commercial quantum gravimeter LNE Syrte: Cold Atom Gravimeter IQ LUH: in development (QUANTUS modification) HU Berlin: Gravimetric Atom Interferometer (GAIN) Characterization by comparison with SCG and AG 2

Agenda Motivation Atom interferometry Geodetic Observatory Wettzell 2013: GAIN + GWR SCG Onsala Space Observatory 2015: GAIN + GWR SCG + FG5X Summary and Conclusion 3

Atom interferometry simplified observation eq. P F =2 = 1 [1 cos( Φ)] 2 Φ = k eff gt 2 4

Atom interferometry g-experimental sequence 1 Magneto-Optical-Trap preparation of atoms 2 State selection 3 Light atom interaction 4 Detection of state populations 5 Tip/tilt mirror vertical alignment and Coriolis 6 Vibration isolation cycle rate of g-measurement: 1.5 s 5

Geodetic Observatory Wettzell 2013: GAIN + GWR SCG November 2013 Two weeks of measurements In parallel to SG-30 Determination of scale factor with 4 10 4 uncertainty Calibration with FG5: 1 10 3 [Francis and van Dam., (2002), van Camp et al., (2015)] Difference to gref : 62 ± 64 nm s 2 Error budget dominated by magnetic effect Hysteresis of vibration isolation revealed 6

Onsala Space Observatory 2015: GAIN + GWR SCG + FG5X Four week campaign in February OSG-054 and GAIN: precision almost 4 weeks of recordings FG5X-220 and GAIN: absolute accuracy switch of positions after 4 days Improvements of GAIN after Wettzell Magnetic shielding of MOT quicker setup of instrument removal of systematic effect Readjustment of vibration isolation Post-correction for residual vertical mirror movement [Le Gouët et al., (2008)] 7

Onsala Space Observatory 2015: GAIN + GWR SCG + FG5X Electronics Rack FG5X-220 Laser System Physics Package 8

Onsala Space Observatory 2015: GAIN + GWR SCG + FG5X 10 residuals [nm s 2 ] 5 0 5 10 19.2. 20.2. 21.2. 22.2. 23.2. 24.2. Difference of GAIN and OSG-054 from 30 minute averages. 9

OSO 2015 vs. Wettzell 2013 residuals [nm s 2 ] 20 10 0 10 Onsala Wettzell 20 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5 days Difference GAIN SCG (RMS: 3 nm s 2 /6 nm s 2 ). 10

OSO 2015 vs. Wettzell 2013 Allan deviation [g] 10 8 10 9 10 10 Onsala Wettzell 10 0 10 1 10 2 10 3 10 4 averaging time [s] Allan deviation of GAIN SCG. 10

OSO 2015: FG5X-220 100 gravity [nm s 2 ] 50 0 50 100 5.2. 6.2. 7.2 8.2. set 10.2. 11.2. 12.2. combined Pillar AC (σ = 5 nm s 2 ) and AA (σ = 9 nm s 2 ) with the ḡ of each pillar subtracted. 11

OSO 2015: FG5X-220 and GAIN AG RMS [nm s 2 ] 500 400 300 200 100 FG5X-220 GAIN 0 0 20 40 60 80 100 120 Seismometer RMS [nm s 2 ] RMS of Seismometer vs. AG (FG5X-220 from 4.2.-12.2. and GAIN from 7.2.-12.2.). 12

Summary and Conclusion Results GAIN Continuous operation with minor down time Improvement of sensitivity to < 1 10 10 g Difference to FG5X-220 mean g-result 32 ± 39 nm s 2 Error budget dominated by wavefront aberration [Schkolnik et al. (2015)] Confirmation of SCG scale factor with uncertainty 2.6 10 4 13

Summary and Conclusion Results FG5X-220 Measurements under unfavorable conditions due to microseismic activity Results fit to land-uplift determined with previous FG5 Measurements [Timmen et al. (2015)] Currently no indication for orientation dependent instrumental effect improvement over FG5-220 [Gitlein, (2009)] 13

Summary and Conclusion Next Steps Comparison with SCG essential for characterization of AI sensitivity and identification of instrumental effects Reduction of systematic effect Participation in international comparison of absolute gravimeters 14

Thank you for your attention This work was in part supported by the German Research Foundation (MU 1141/16-1)

Literature I Van Camp, M., Meurers, B., de Viron, O., Forbriger, T.: Optimized strategy for the calibration of superconducting gravimeters at the one per mille level. Journal of Geodesy, DOI 10.1007/s00190-015-0856-7, pp. 1 9, (2015) Francis, O., van Dam, T.: Evaluation of the precision of using absolute gravimeters to calibrate superconducting gravimeters. Metrologia 39(5), pp. 485 488, (2002) Gitlein, Olga: Absolutgravimetrische Bestimmung der Fennoskandischen Landhebung mit dem FG5-220. Wissenschaftliche Arbeiten der Fachrichtung Geodäsie und Geoinformatik Nr. 281, (2009) Le Gouët, J., Mehlstäubler, T.E., Kim, J., Merlet, S., Clairon, A., Landragin, A., Pereira Dos Santos, F.: Limits to the sensitivity of a low noise compact atomic gravimeter. Applied Physics B 92(2), pp. 133 144 (2008) Niebauer, T. M., Sasagawa, G. S., Faller, J. E., Hilt, R., Klopping, F.: A new generation of absolute gravimeters Metrologia 32(3),pp. 159 180, (1995) Schkolnik, V., Leykauf, B., Hauth, M., Freier, C., Peters, A..: The effect of wavefront aberrations in atom interferometry. Applied Physics B 120(2), pp.311 316, (2015) Timmen, L., Engfeldt, A., Scherneck, H.-G.: Observed secular gravity trend at Onsala station with the FG5 gravimeter from Hannover. Journal of Geodetic Science 5(1),pp. 18 25, (2015) 16

Annex: ambiguity solution Fringes with different T from scanning α: Φ = (k eff g α) T 2 + φ L 17

Annex: Microseismic activity recorded by OSG-054 Time derivation of 1 Hz SCG data. 18

Annex: Error budget GAIN systematic error Budget for the 2 nd campaign. Values for the 1 st campaign are denoted with an asterisk. The bias was subtracted from gravity measurements. Bias Error Systematic effect [nm s 2 ] [nm s 2 ] Raman Wavefronts 28 ±22 Coriolis Effect 0 ±15 Magnetic Field Effects 0 ±10 RF Groupdelay 0 ±10 Self Gravitation 19 ±5 Ref-Laser Frequency 12 10 ±5 Sync. Vibrations 0 92 ±5 50 AC Stark Shift (1PLS) 0 ±5 Rb Background Vapor 5 ±3 AC Stark Shift (2PLS) 0 ±2 Vertical Alignment 0 1 ±1 Total 16 77 ±32 61 19

Annex: Absolute gravity comparisons Gravity Uncertainty First Campaign nm s 2 nm s 2 GAIN gravity value 9 808 369 285 ±61 meas. height correction 400 ±10 Reference value 9 808 369 623 ±18 Difference GAIN Ref. 62 ±64 Second campaign GAIN gravity value 9 817 158 312 ±32 meas. height correction 727 ±10 Reference value 9 817 159 023 ±20 Difference GAIN Ref. 32 ±39 Comparison of absolute gravity values. The vertical gravity gradient was determined previous to GAIN measurements. 20