Abstract
Taiji space gravitational wave detection utilizes the laser interferometer to convert the tiny distance change into the phase fluctuation of the beat note. As to realize the sensitivity of 1 pm/√ Hz, the phasemeter needs to calculate the phase with the precision of 2πμ rad/√ Hz in the frequency range of 0.1 mHz and 1 Hz. In this paper, we report recent progress of the phasemeter for Taiji. Noises which possibly affect the measurement sensitivity are tested and discussed, especially the sampling noise and the frequency jitter. Finally, the accuracy of the phasemeter is calibrated. The result shows that the sensitivity has reached the requirement of Taiji in the frequencies between 0.01 Hz and 1 Hz, 0.1 mHz–1 mHz. Noises in the range of 1 mHz and 0.01 Hz, which have not yet depressed well, are dominated by the clocking jitter and the thermal fluctuation.
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Abbott, B.P., Abbott, R., Abbott, T.D., et al.: Observation of gravitational waves from a binary black hole merger. Phys. Rev. Lett. 116(6), 061102 (2016). https://doi.org/10.1103/PhysRevLett.116.061102
Amaro-Seoane, P., Aoudia, S., Babak, S., et al.: Low-frequency gravitational-wave science with eLISA/NGO. Class. Quantum Grav. 29(12), 124016 (2012). https://doi.org/10.1088/0264-9381/29/12/124016
Armano, M., Audley, H., Auger, G., et al.: Sub-Femto-gFree fall for space-based gravitational wave observatories: LISA pathfinder results. Phys. Rev. Lett. 116(23). https://doi.org/10.1103/PhysRevLett.116.231101 (2016)
Barke, S., Brause, N., Bykov, I., Delgado, J.J.E.: LISA metrology system final report. European Space Agency. European (2014)
Carraz, O., Siemes, C., Massotti, L., Haagmans, R., Silvestrin, P.: A spaceborne gravity gradiometer concept based on cold atom interferometers for measuring Earth’s gravity field. MiST 26(3), 139–145 (2014). https://doi.org/10.1007/s12217-014-9385-x
Cervantes, F.G.: Real-time phase-front detector for heterodyne interferometers. Appl. Opt. 46(21), 4541–4548 (2007)
Corbin, V., Cornish, N.J.: Detecting the cosmic gravitational wave background with the Big Bang Observer. Class. Quantum Grav. 23 (7), 2435–2446 (2006). https://doi.org/10.1088/0264-9381/23/7/014
Danzmann, K.: LISA: laser interferometer space antenna for gravitational wave measurements. Class. Quantum Grav. 13(11A), 247–250 (1996)
Danzmann, K.: LISA and its pathfinder. NatPh 11 (2015)
Dehne, M., Cervantes, F.G., Sheard, B., Heinzel, G., Danzmann, K.: Laser interferometer for spaceborne mapping of the Earth’s gravity field. JPC 154, 012023 (2009). https://doi.org/10.1088/1742-6596/154/1/012023
Dimopoulos, S., Graham, P.W., Hogan, J.M., Kasevich, M.A., Rajendran, S.: Gravitational wave detection with atom interferometry. Phys. Lett. B 678(1), 37–40 (2009). https://doi.org/10.1016/j.physletb.2009.06.011
Esteban, J.J., Bykov, I., Marín, A.F.G., Heinzel, G., Danzmann, K.: Optical ranging and data transfer development for LISA. JPC 154(1), 012025 (2009). https://doi.org/10.1088/1742-6596/154/1/012025
Esteban, J.J., García, A.F., Barke, S., Peinado, A.M., Cervantes, F.G., Bykov, I., Heinzel, G., Danzmann, K.: Experimental demonstration of weak-light laser ranging and data communication for LISA. OExpr. 19(17), 15937–15946 (2011)
Freise, A.: Interferometer techniques for gravitational-wave detection. LRR 13(1), 1–81 (2010)
Gair, J., Vallisneri, M., Larson, S.L., Baker, J.G.: Testing general relativity with low-frequency, space-based gravitational-wave detectors. LRR 16 (7), 1–109 (2013). https://doi.org/10.12942/lrr-2013-7
Gerberding, O., Sheard, B., Bykov, I., Kullmann, J., Delgado, J.J.E., Danzmann, K., Heinzel, G.: Phasemeter core for intersatellite laser heterodyne interferometry: modelling, simulations and experiments. Class. Quantum Grav. 30(23), 235029 (2013). https://doi.org/10.1088/0264-9381/30/23/235029
Gerberding, O., Diekmann, C., Kullmann, J., Tröbs, M: Readout for intersatellite laser interferometry: measuring low frequency phase fluctuations of HF signals with microradian precision. Rev. Sci. Instrum. 86(7), 074501 (2015). https://doi.org/10.1063/1.4927071
Gerberding, O., Isleif, K.-S., Mehmet, M., Danzmann, K., Heinzel, G.: Laser-frequency stabilization via a quasimonolithic Mach-Zehnder interferometer with arms of unequal length and balanced dc readout. Phys. Rev. Appl. 7(2). https://doi.org/10.1103/PhysRevApplied.7.024027 (2017)
Heinzel, G., Esteban, J.J., Barke, S., Otto, M., Wang, Y., Garcia, A.F., Danzmann, K.: Auxiliary functions of theLISA laser link: ranging, clock noise transfer and data communication. Class. Quantum Grav. 28(9), 094008 (2011). https://doi.org/10.1088/0264-9381/28/9/094008
Hu, W.-R., Wu, Y.-L.: The Taiji Program in Space for gravitational wave physics and the nature of gravity. Natl. Sci. Rev. 4(5), 685–686 (2017). https://doi.org/10.1093/nsr/nwx116
Kulas, S., Vogt, C., Resch, A., et al.: Miniaturized lab system for future cold atom experiments in microgravity. MiST 29(1–2), 37–48 (2016). https://doi.org/10.1007/s12217-016-9524-7
Liang, Y.-R.: Note: a new method for directly reducing the sampling jitter noise of the digital phasemeter. Rev. Sci. Instrum. 89(3). https://doi.org/10.1063/1.5011654 (2018)
Liu, H.S., Dong, Y.H., Li, Y.Q., Luo, Z.R., Jin, G.: The evaluation of phasemeter prototype performance for the space gravitational waves detection. Rev. Sci. Instrum. 85(2), 024503 (2014). https://doi.org/10.1063/1.4865121
Luo, J., Chen, L.-S., Duan, H.-Z., et al.: TianQin: a space-borne gravitational wave detector. Class. Quantum Grav. 33(3), 035010 (2016). https://doi.org/10.1088/0264-9381/33/3/035010
Pitkin, M., Reid, S., Rowan, S., Hough, J.: Gravitational wave detection by interferometry (ground and space). LRR 14(5), 1–75 (2011)
Pollack, S.E., Stebbins, R.T.: Demonstration of the zero-crossing phasemeter with a LISA test-bed interferometer. Class. Quantum Grav. 23(12), 4189–4200 (2006). https://doi.org/10.1088/0264-9381/23/12/014
Schütze, D.: Measuring Earth: current status of the GRACE follow-on laser ranging interferometer. JPC 716, 012005 (2016). https://doi.org/10.1088/1742-6596/716/1/012005
Shaddock, D., Ware, B., Halverson, P., Spero, R.E., Klipstein, B.: Overview of the LISA phasemeter. AIP Conf. Proc. 873(1), 654–660 (2006)
Sheard, B., Heinzel, G., Danzmann, K.: LISA long-arm interferometry: an alternative frequency pre-stabilization system. Class. Quantum Grav. 27(8), 084011 (2010). https://doi.org/10.1088/0264-9381/27/8/084011
Tinto, M., Yu, N.: Time-delay interferometry with optical frequency comb. Phys. Rev. D 92(4), 042002 (2015)
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This work was financially supported by the Strategic Priority Research Program of the Chinese Academy of Sciences (Grant No. XDB23030000).
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This article belongs to the Topical Collection: Approaching the Chinese Space Station - Microgravity Research in China
Guest Editors: Jian-Fu Zhao, Shuang-Feng Wang
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Liu, H., Luo, Z. & Jin, G. The Development of Phasemeter for Taiji Space Gravitational Wave Detection. Microgravity Sci. Technol. 30, 775–781 (2018). https://doi.org/10.1007/s12217-018-9625-6
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DOI: https://doi.org/10.1007/s12217-018-9625-6