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Noise resilience in a high-bandwidth atom interferometer

Jonathan M. Kwolek1,*, Sunil Upadhyay2, and Adam T. Black1

  • 1U.S. Naval Research Lab, 4555 Overlook Ave SW, Washington, DC 20375, USA
  • 2Amentum, 4800 Westfields Blvd, Suite #400, Chantilly, VA 20151, USA

  • *Contact author: jonathan.m.kwolek.civ@us.navy.mil

Phys. Rev. Applied 24, 034041 – Published 17 September, 2025

DOI: https://doi.org/10.1103/m7tr-tm4w

Abstract

The utility of inertial sensors depends on resilience against real-world dynamics and noise. Atom interferometry offers a sensing technology with the advantages of good long-term stability, high sensitivity, and accuracy. High measurement bandwidth improves an atom interferometer’s ability to reject errors due to dynamics and noise. Here we demonstrate resilience against time-varying environmental noise by rapidly switching the direction of inertial sensitivity in the atom interferometer through a common technique known as k-reversal. We demonstrate sub-interrogation-time k-reversal at 592 Hz in a cold-beam atomic interferometer with an inverse interrogation time of 148 Hz. The interferometer fringe output is read out continuously and postprocessed using nonlinear Kalman filters to determine both the inertial and error contributions to the output phase. The resulting power spectral densities show a significant reduction of phase error due to a noisy magnetic field as the k-reversal frequency increases.

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References (58)

  1. T. L. Gustavson, P. Bouyer, and M. A. Kasevich, Precision rotation measurements with an atom interferometer gyroscope, Phys. Rev. Lett. 78, 2046 (1997).
  2. B. Fang, I. Dutta, P. Gillot, D. Savoie, J. Lautier, B. Cheng, C. L. Garrido Alzar, R. Geiger, S. Merlet, F. Pereira Dos Santos, and A. Landragin, Metrology with atom interferometry: Inertial sensors from laboratory to field applications, J. Phys. Conf. Ser. 723, 012049 (2016).
  3. C. Jekeli, Navigation error analysis of atom interferometer inertial sensor, Navigation 52, 1 (2005).
  4. F. A. Narducci, A. T. Black, and J. H. Burke, Advances toward fieldable atom interferometers, Adv. Phys.: X 7, 1946426 (2022).
  5. Y. Bidel, N. Zahzam, A. Bresson, C. Blanchard, A. Bonnin, J. Bernard, M. Cadoret, T. E. Jensen, R. Forsberg, C. Salaun, S. Lucas, M. F. Lequentrec-Lalancette, D. Rouxel, G. Gabalda, L. Seoane, D. T. Vu, S. Bruinsma, and S. Bonvalot, Airborne Absolute gravimetry with a quantum sensor, comparison with classical technologies, J. Geophys. Res.: Solid Earth 128, e2022JB025921 (2023).
  6. J. Kohler, C. Corder, A. Vitouchkine, G. Skulason, A. Rakholia, M. Cashen, and J. Abo-Shaeer, At-sea validation of a strapdown marine absolute quantum gravimeter, AGU24 (2024).
  7. J. C. Saywell, M. S. Carey, P. S. Light, S. S. Szigeti, A. R. Milne, K. S. Gill, M. L. Goh, V. S. Perunicic, N. M. Wilson, C. D. Macrae, A. Rischka, P. J. Everitt, N. P. Robins, R. P. Anderson, M. R. Hush, and M. J. Biercuk, Enhancing the sensitivity of atom-interferometric inertial sensors using robust control, Nat. Commun. 14, 7626 (2023).
  8. D. H. Titterton and J. L. Weston, Strapdown Inertial Navigation Technology (Institution of Electrical Engineers, 2004), 2nd ed.
  9. A. Peters, K. Y. Chung, and S. Chu, High-precision gravity measurements using atom interferometry, Metrologia 38, 25 (2001).
  10. P. Cheinet, B. Canuel, F. Pereira Dos Santos, A. Gauguet, F. Yver-Leduc, and A. Landragin, Measurement of the sensitivity function in a time-domain atomic interferometer, IEEE Trans. Instrum. Meas. 57, 1141 (2008).
  11. H. J. McGuinness, A. V. Rakholia, and G. W. Biedermann, High data-rate atom interferometer for measuring acceleration, Appl. Phys. Lett. 100, 011106 (2012).
  12. G. Biedermann, H. McGuinness, A. Rakholia, Y.-Y. Jau, D. Wheeler, J. Sterk, and G. Burns, Atom interferometry in a warm vapor, Phys. Rev. Lett. 118, 163601 (2017).
  13. J. M. Kwolek and A. T. Black, Continuous sub-Doppler-cooled atomic beam interferometer for inertial sensing, Phys. Rev. Appl. 17, 024061 (2022).
  14. I. Dutta, D. Savoie, B. Fang, B. Venon, C. Garrido Alzar, R. Geiger, and A. Landragin, Continuous cold-atom inertial sensor with 1 nrad/sec rotation stability, Phys. Rev. Lett. 116, 183003 (2016).
  15. M. A. Kasevich and B. Dubetsky, Kinematic sensors employing atom interferometer phases, US Patent 7,317,184 B2 (2008).
  16. A. Joyet, G. Di Domenico, and P. Thomann, Theoretical analysis of aliasing noises in cold atom Mach-Zehnder interferometers, Eur. Phys. J. D 66, 61 (2012).
  17. L. Devenoges, A. Stefanov, A. Joyet, P. Thomann, and G. D. Domenico, Improvement of the frequency stability below the Dick limit with a continuous atomic fountain clock, IEEE Trans. Ultrason. Ferroelectr. Freq. Control 59, 211 (2012).
  18. J. Kwolek, C. Fancher, M. Bashkansky, and A. Black, Three-dimensional cooling of an atom-beam source for high-contrast atom interferometry, Phys. Rev. Appl. 13, 044057 (2020).
  19. T. Sato, N. Nishimura, N. Kaku, S. Otabe, T. Kawasaki, T. Hosoya, and M. Kozuma, Closed-loop measurements in an atom-interferometer gyroscope with compensation for velocity-dependent phase dispersion, Phys. Rev. Appl. 23, 044001 (2025).
  20. Z.-X. Meng, P.-Q. Yan, S.-Z. Wang, X.-J. Li, H.-B. Xue, and Y.-Y. Feng, Closed-loop dual-atom-interferometer inertial sensor with continuous cold atomic beams, Phys. Rev. Appl. 21, 034050 (2024).
  21. X. Ren, W. Yan, Y. Yang, X. Deng, W. Xu, Z. Hu, and M. Zhou, Characterizing the impact of the magnetic field in the frequency domain for a multiwave atom interferometer, Phys. Rev. A 108, 063309 (2023).
  22. M.-K. Zhou, Z.-K. Hu, X.-C. Duan, B.-L. Sun, J.-B. Zhao, and J. Luo, Precisely mapping the magnetic field gradient in vacuum with an atom interferometer, Phys. Rev. A 82, 061602 (2010).
  23. J. Hu, X. Chen, J. Fang, L. Zhou, J. Zhong, J. Wang, and M. Zhan, Analysis and suppression of wave-front-aberration phase noise in weak-equivalence-principle tests using dual-species atom interferometers, Phys. Rev. A 96, 023618 (2017).
  24. B. Barrett, I. Chan, and A. Kumarakrishnan, Atom-interferometric techniques for measuring uniform magnetic field gradients and gravitational acceleration, Phys. Rev. A 84, 063623 (2011).
  25. M. Kasevich and S. Chu, Measurement of the gravitational acceleration of an atom with a light-pulse atom interferometer, Appl. Phys. B: Photophys. Laser Chem. 54, 321 (1992).
  26. A. Peters, K. Y. Chung, and S. Chu, Measurement of gravitational acceleration by dropping atoms, Nature 400, 849 (1999).
  27. W.-J. Xu, L.-l. Chen, M.-J. Nie, M. Zhou, and Z. Hu, Limits on the sensitivity of a cold atom interferometry gyroscope, Opt. Express 32, 42856 (2024).
  28. D. Savoie, M. Altorio, B. Fang, L. A. Sidorenkov, R. Geiger, and A. Landragin, Interleaved atom interferometry for high-sensitivity inertial measurements, Sci. Adv. 4, eaau7948 (2018).
  29. J. M. McGuirk, G. T. Foster, J. B. Fixler, M. J. Snadden, and M. A. Kasevich, Sensitive absolute-gravity gradiometry using atom interferometry, Phys. Rev. A 65, 033608 (2002).
  30. G. W. Biedermann, X. Wu, L. Deslauriers, S. Roy, C. Mahadeswaraswamy, and M. A. Kasevich, Testing gravity with cold-atom interferometers, Phys. Rev. A 91, 033629 (2015).
  31. F. Sorrentino, Q. Bodart, L. Cacciapuoti, Y.-H. Lien, M. Prevedelli, G. Rosi, L. Salvi, and G. M. Tino, Sensitivity limits of a Raman atom interferometer as a gravity gradiometer, Phys. Rev. A 89, 023607 (2014).
  32. D. S. Durfee, Y. K. Shaham, and M. A. Kasevich, Long-term stability of an area-reversible atom-interferometer sagnac gyroscope, Phys. Rev. Lett. 97, 240801 (2006).
  33. A. Louchet-Chauvet, T. Farah, Q. Bodart, A. Clairon, A. Landragin, S. Merlet, and F. P. D. Santos, The influence of transverse motion within an atomic gravimeter, New J. Phys. 13, 065025 (2011).
  34. D. S. Weiss, B. C. Young, and S. Chn, Precision measurement of /m Cs based on photon recoil using laser-cooled atoms and atomic interferometry, Appl. Phys. B 59, 217 (1994).
  35. J. K. Stockton, K. Takase, and M. A. Kasevich, Absolute geodetic rotation measurement using atom interferometry, Phys. Rev. Lett. 107, 133001 (2011).
  36. D. Yankelev, C. Avinadav, N. Davidson, and O. Firstenberg, Atom interferometry with thousand-fold increase in dynamic range, Sci. Adv. 6, eabd0650 (2020).
  37. A. T. Black, H. J. Haucke, S. Upadhyay, R. K. O’Donnell, and J. M. Kwolek, in Quantum Sensing, Imaging, and Precision Metrology II, edited by S. M. Shahriar and J. Scheuer (SPIE, San Francisco, United States, 2024), p. 72.
  38. P. Cheiney, L. Fouché, S. Templier, F. Napolitano, B. Battelier, P. Bouyer, and B. Barrett, Navigation-compatible hybrid quantum accelerometer using a Kalman filter, Phys. Rev. Appl. 10, 034030 (2018).
  39. P. F. Dunn and M. P. Davis, Measurement and Data Analysis for Engineering and Science (CRC Press, Boca Raton, FL, 2017).
  40. L. A. Kraft, S. A. Meek, N. Marliere, A. J. Jozani, and G. W. Biedermann, Phase modulation detection of a strontium atom interferometer gyroscope, arXiv:2505.03865 [physics.atom-ph].
  41. J. Khodaparast, A review of dynamic phasor estimation by non-linear Kalman filters, IEEE Access 10, 11090 (2022).
  42. N. Dedes, Error and performance analysis of cold-atom inertial sensors for navigation, Ph.D. thesis, University of Southampton, 2024.
  43. Gaussianfilters, 2025, https://github.com/sisl/GaussianFilters.jl [Accessed: Jan 2025].
  44. T. Kawasaki, S. Otabe, T. Sato, M. Miranda, N. Takei, and M. Kozuma, Analyzing the sensitivity of an atom interferometer with a phase-modulation readout scheme, Phys. Rev. A 111, 013302 (2025).
  45. 731A/P31 Seismic Accelerometer and Power Amplifier System, Wilcoxon Sensing Technologies, Fredrick, MD, 2018, 98079th ed.
  46. B. Dubetsky and M. A. Kasevich, Atom interferometer as a selective sensor of rotation or gravity, Phys. Rev. A 74, 023615 (2006).
  47. D. B. Montgomery and J. Terrell, Some useful information for the design of air-core solenoids, Part I. Relationships between magentic field, power, ampere-turns and current density. Part II. Homogeneous magnetic fields, Tech. Rep. (Defense Technical Information Center, Fort Belvoir, VA, 1961).
  48. W. R. Smythe, Static and Dynamic Electricity (Taylor and Francis, Bristol, PA, 1989), 3rd ed.
  49. A. Morinaga, T. Tako, and N. Ito, Sensitive measurement of phase shifts due to the ac Stark effect in a Ca optical Ramsey interferometer, Phys. Rev. A 48, 1364 (1993).
  50. Y. Bidel, N. Zahzam, C. Blanchard, A. Bonnin, M. Cadoret, A. Bresson, D. Rouxel, and M. F. Lequentrec-Lalancette, Absolute marine gravimetry with matter-wave interferometry, Nat. Commun. 9, 627 (2018).
  51. B. Tennstedt and S. Schon, in 2021 28th Saint Petersburg International Conference on Integrated Navigation Systems (ICINS) (IEEE, St Petersburg, Russia, 2021), pp. 1–9.
  52. H. Müller, S.-W. Chiow, Q. Long, S. Herrmann, and S. Chu, Atom interferometry with up to 24-photon-momentum-transfer beam splitters, Phys. Rev. Lett. 100, 180405 (2008).
  53. G. D’Amico, F. Borselli, L. Cacciapuoti, M. Prevedelli, G. Rosi, F. Sorrentino, and G. M. Tino, Bragg interferometer for gravity gradient measurements, Phys. Rev. A 93, 063628 (2016).
  54. T. Lévèque, A. Gauguet, F. Michaud, F. Pereira Dos Santos, and A. Landragin, Enhancing the Area of a Raman atom interferometer using a versatile double-diffraction technique, Phys. Rev. Lett. 103, 080405 (2009).
  55. M. Gebbe, J.-N. Siemß, M. Gersemann, H. Müntinga, S. Herrmann, C. Lämmerzahl, H. Ahlers, N. Gaaloul, C. Schubert, K. Hammerer, S. Abend, and E. M. Rasel, Twin-lattice atom interferometry, Nat. Commun. 12, 1 (2021).
  56. C.-C. Chen, R. González Escudero, J. Minář, B. Pasquiou, S. Bennetts, and F. Schreck, Continuous Bose–Einstein condensation, Nature 606, 683 (2022).
  57. S. M. Dickerson, J. M. Hogan, A. Sugarbaker, D. M. S. Johnson, and M. A. Kasevich, Multiaxis inertial sensing with long-time point source atom interferometry, Phys. Rev. Lett. 111, 083001 (2013).
  58. X. Wu, F. Zi, J. Dudley, R. J. Bilotta, P. Canoza, and H. Muller, Multiaxis atom interferometry with a single-diode laser and a pyramidal magneto-optical trap, OPTICA 4, 1545 (2017).

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