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  • Open Access

Nonlinearities in atomic radio receivers: Harmonic and intermodulation distortion

Luís Felipe Gonçalves*, Teng Zhang, Georg Raithel, and David A. Anderson†

  • *Contact author: luisfelipe@ifsc.usp.br
  • †Contact author: Dave@RydbergTech.com

APS Open Sci. 1, 000083 – Published 5 August, 2026

DOI: https://doi.org/10.1103/3pht-dvg9

Abstract

Rydberg sensors offer a unique approach to radio-frequency (rf) detection, leveraging the high sensitivity and quantum properties of highly excited atomic states to achieve performance levels beyond classical technologies. Nonlinear responses and distortion behavior in Rydberg atom receivers are critical to evaluating and establishing performance metrics and capabilities such as spur-free dynamic range and tolerance to unwanted interfering signals. We report here on the measurement and characterization of nonlinear behavior and spurious response of a Rydberg atomic heterodyne receiver. Single-tone and two-tone testing procedures are developed and implemented for measurement of harmonic and intermodulation distortion in Rydberg atomic receivers based on multiphoton Rydberg spectroscopy and radio-frequency heterodyne signal detection and demodulation in an atomic vapor. For a predetermined set of atomic receiver parameters and rf carrier wave in the super high frequency band near-resonant to a cesium Rydberg transition, we measure and characterize atomic receiver selectivity, bandwidth, roll-off, compression point (P1dB), second-order (IP2) and third-order (IP3) intercepts, and spur-free dynamic range. Receiver intermodulation distortion is characterized for the case of an interfering signal wave applied at two frequency offsets relative to the near-resonant reference local oscillator, ΔF/F=10−4 at 6 dB and 10−6 at 22 dB single-tone bandwidths, respectively. We observe that under suitable operating conditions the atomic receiver can exhibit a suppression of harmonic and intermodulation distortion relative to that of classical receiver mixer amplifiers.

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References (48)

  1. C. S. Adams, J. D. Pritchard, and J. P. Shaffer, Rydberg atom quantum technologies, J. Phys. B: At. Mol. Opt. Phys. 53, 012002 (2019).
  2. D. A. Anderson, G. Raithel, T. Nithiwadee, S. A. Miller, and A. Schwarzkopf, Atom-based electromagnetic radiation electric-field and power sensor, U.S. Patent 9,970,973 B2 (2017).
  3. D. A. Anderson, G. Raithel, E. G. Paradis, and R. E. Sapiro, Atom-based electromagnetic field sensing element and measurement system, U.S. Patent 20190187198A1 (2018).
  4. B. Liu, L. Zhang, Z. Liu, Z. Deng, D. Ding, B. Shi, and G. Guo, Electric field measurement and application based on Rydberg atoms, Electromagn. Sci. 1, 1 (2023).
  5. D. A. Anderson, R. E. Sapiro, and G. Raithel, A self-calibrated SI-traceable Rydberg atom-based radio frequency electric field probe and measurement instrument, IEEE Trans. Antennas Propag. 69, 5931 (2021).
  6. S. Kumar, H. Fan, H. Kübler, J. Sheng, and J. P. Shaffer, Atom-based sensing of weak radio frequency electric fields using homodyne readout, Sci. Rep. 7, 42981 (2017).
  7. D.-S. Ding, Z.-K. Liu, B.-S. Shi, G.-C. Guo, K. Mølmer, and C. S. Adams, Enhanced metrology at the critical point of a many-body Rydberg atomic system, Nat. Phys. 18, 1447 (2022).
  8. C. L. Holloway, J. A. Gordon, A. Schwarzkopf, D. A. Anderson, S. A. Miller, N. Thaicharoen, and G. Raithel, Sub-wavelength imaging and field mapping via electromagnetically induced transparency and Autler-Townes splitting in Rydberg atoms, Appl. Phys. Lett. 104, 244102 (2014).
  9. S. A. Miller, D. A. Anderson, and G. Raithel, Radio-frequency-modulated Rydberg states in a vapor cell, New J. Phys. 18, 053017 (2016).
  10. G. Allinson, M. J. Jamieson, A. R. Mackellar, L. Downes, C. S. Adams, and K. J. Weatherill, Simultaneous multiband radio-frequency detection using high-orbital-angular-momentum states in a Rydberg-atom receiver, Phys. Rev. Res. 6, 023317 (2024).
  11. D. A. Anderson, E. Paradis, G. Raithel, R. E. Sapiro, and C. L. Holloway, High-resolution antenna near-field imaging and sub-THz measurements with a small atomic vapor-cell sensing element, in 2018 11th Global Symposium on Millimeter Waves (GSMM) Boulder, Colorado (IEEE, Piscataway, NJ, 2018), pp. 1–3.
  12. C. Holloway, J. Gordon, S. Jefferts, A. Schwarzkopf, D. Anderson, S. Miller, N. Thaicharoen, and G. Raithel, Broadband Rydberg atom-based electric-field probe for SI-traceable, self-calibrated measurements, IEEE Trans. Antennas Propag. 62, 6169 (2014).
  13. D. A. Anderson, A. Schwarzkopf, S. A. Miller, N. Thaicharoen, G. Raithel, J. A. Gordon, and C. L. Holloway, Two-photon microwave transitions and strong-field effects in a room-temperature Rydberg-atom gas, Phys. Rev. A 90, 043419 (2014).
  14. E. Paradis, G. Raithel, and D. A. Anderson, Atomic measurements of high-intensity VHF-band radio-frequency fields with a Rydberg vapor-cell detector, Phys. Rev. A 100, 013420 (2019).
  15. M. T. Simons, M. D. Kautz, C. L. Holloway, D. A. Anderson, G. Raithel, D. Stack, M. C. St. John, and W. Su, Electromagnetically induced transparency (EIT) and Autler-Townes (AT) splitting in the presence of band-limited white Gaussian noise, J. Appl. Phys. 123, 203105 (2018).
  16. D. A. Anderson, G. Raithel, M. Simons, and C. L. Holloway, Quantum-optical spectroscopy for plasma electric field measurements and diagnostics, arXiv:1712.08717.
  17. D. Anderson, R. Sapiro, L. Gonçalves, R. Cardman, and G. Raithel, Optical radio-frequency phase measurement with an internal-state Rydberg atom interferometer, Phys. Rev. Appl. 17, 044020 (2022).
  18. M. T. Simons, A. H. Haddab, J. A. Gordon, and C. L. Holloway, A Rydberg atom-based mixer: Measuring the phase of a radio frequency wave, Appl. Phys. Lett. 114, 114101 (2019).
  19. M. Jing, Y. Hu, J. Ma, H. Zhang, L. Zhang, L. Xiao, and S. Jia, Atomic superheterodyne receiver based on microwave-dressed Rydberg spectroscopy, Nat. Phys. 16, 911 (2020).
  20. R. Legaie, G. Raithel, and D. A. Anderson, A millimeter-wave atomic receiver, AVS Quantum Sci. 6, 024402 (2024).
  21. D. A. Anderson and G. Raithel, Continuous-frequency measurements of high-intensity microwave electric fields with atomic vapor cells, Appl. Phys. Lett. 111, 053504 (2017).
  22. S. Berweger, N. Prajapati, A. B. Artusio-Glimpse, A. P. Rotunno, R. Brown, C. L. Holloway, M. T. Simons, E. Imhof, S. R. Jefferts, B. N. Kayim, M. A. Viray, R. Wyllie, B. C. Sawyer, and T. G. Walker, Rydberg-state engineering: Investigations of tuning schemes for continuous frequency sensing, Phys. Rev. Appl. 19, 044049 (2023).
  23. D. H. Meyer, J. C. Hill, P. D. Kunz, and K. C. Cox, Simultaneous multiband demodulation using a Rydberg atomic sensor, Phys. Rev. Appl. 19, 014025 (2023).
  24. D. A. Anderson, R. E. Sapiro, and G. Raithel, An atomic receiver for AM and FM radio communication, IEEE Trans. Antennas Propag. 69, 2455 (2021).
  25. D. A. Anderson, R. E. Sapiro, and G. Raithel, Rydberg atoms for radio-frequency communications and sensing: Atomic receivers for pulsed RF field and phase detection, IEEE Aerosp. Electron. Syst. Mag. 35, 48 (2020).
  26. D. H. Meyer, K. C. Cox, F. K. Fatemi, and P. D. Kunz, Digital communication with Rydberg atoms and amplitude-modulated microwave fields, Appl. Phys. Lett. 112, 211108 (2018).
  27. A. B. Deb and N. Kjærgaard, Radio-over-fiber using an optical antenna based on Rydberg states of atoms, Appl. Phys. Lett. 112, 211106 (2018).
  28. C. L. Holloway, M. T. Simons, A. H. Haddab, J. A. Gordon, and S. D. Voran, A multiple-band Rydberg-atom based receiver/antenna: AM/FM stereo reception, IEEE Antennas Propag. Mag. 63, 63 (2019).
  29. Z.-K. Liu, L.-H. Zhang, B. Liu, Z.-Y. Zhang, G.-C. Guo, D.-S. Ding, and B.-S. Shi, Deep learning enhanced Rydberg multifrequency microwave recognition, Nat. Commun. 13, 1997 (2022).
  30. R. Cardman, L. F. Gonçalves, R. E. Sapiro, G. Raithel, and D. A. Anderson, Atomic 2d electric field imaging of a Yagi–Uda antenna near-field using a portable rydberg-atom probe and measurement instrument, Adv. Opt. Technol. 9, 305 (2020).
  31. N. Schlossberger, N. Prajapati, S. Berweger, A. P. Rotunno, A. B. Artusio-Glimpse, M. T. Simons, A. A. Sheikh, E. B. Norrgard, S. P. Eckel, and C. L. Holloway, Rydberg states of alkali atoms in atomic vapour as SI-traceable field probes and communications receivers, Nat. Rev. Phys. 6, 606 (2024), see last figure.
  32. D. A. Anderson, L. F. Gonçalves, G. Raithel, and J. Detlefs, Long-range wireless communication with a quantum radio based on Rydberg atoms, in 2024 IEEE INC-USNC-URSI Radio Science Meeting (Joint with AP-S Symposium) Florence, Italy (IEEE, Piscataway, NJ, 2024), p. 249.
  33. Y. Ma, Y. Yamao, K. Ishibashi, and Y. Akaiwa, Adaptive compensation of inter-band modulation distortion for tunable concurrent dual-band receivers, IEEE Trans. Microwave Theory Tech. 61, 4209 (2013).
  34. D. A. Steck, Cesium D line data (2025), http://steck.us/alkalidata.
  35. T. Zhang, L. F. Goncalves, G. A. Raithel, and D. A. Anderson, Polariton noise in Rydberg electrometry, in 56th Annual Meeting of the APS Division of Atomic, Molecular and Optical Physics (APS, Portland, OR, 2025), p. F06.00006.
  36. D. M. Pozar, Microwave and RF Design of Wireless Systems (John Wiley & Sons, Inc., New York, NY, 2000).
  37. A. V. Padaki and J. H. Reed, Impact of intermodulation distortion on spectrum preclusion for DSA: A new figure of merit, in 2014 IEEE International Symposium on Dynamic Spectrum Access Networks (DYSPAN) Tyson's Corner, Virginia (IEEE, Piscataway, NJ, 2014), pp. 358–361.
  38. S. M. Bohaichuk, F. Ripka, V. Venu, F. Christaller, C. Liu, M. Schmidt, H. Kübler, and J. P. Shaffer, Three-photon Rydberg-atom-based radio-frequency sensing scheme with narrow linewidth, Phys. Rev. Appl. 20, L061004 (2023).
  39. F. Giraldo, A. Kumar, T.-Y. Wu, P. Du, and D. S. Weiss, State-selective electromagnetically induced transparency for quantum error correction in neutral atom quantum computers, Phys. Rev. A 106, 032425 (2022).
  40. J. A. Sedlacek, A. Schwettmann, H. Kübler, R. Löw, T. Pfau, and J. P. Shaffer, Microwave electrometry with Rydberg atoms in a vapour cell using bright atomic resonances, Nat. Phys. 8, 819 (2012).
  41. R. Sapiro, G. Raithel, and D. Anderson, Time dependence of Rydberg EIT in pulsed optical and RF fields, J. Phys. B: At. Mol. Opt. Phys. 53, 094003 (2020).
  42. H.-J. Su, J.-Y. Liou, I.-C. Lin, and Y.-H. Chen, Optimizing the Rydberg EIT spectrum in a thermal vapor, Opt. Express 30, 1499 (2022).
  43. J. Ningyuan, A. Georgakopoulos, A. Ryou, N. Schine, A. Sommer, and J. Simon, Observation and characterization of cavity Rydberg polaritons, Phys. Rev. A 93, 041802(R) (2016).
  44. J. Sheng, Y. Chao, S. Kumar, H. Fan, J. Sedlacek, and J. P. Shaffer, Intracavity Rydberg-atom electromagnetically induced transparency using a high-finesse optical cavity, Phys. Rev. A 96, 033813 (2017).
  45. R. Mao, Y. Lin, A. Zhou, K. Yang, and Y. Fu, Shortwave ultra-high sensitivity Rydberg atomic electric field sensing based on a subminiature resonator, IEEE Trans. Antennas Propag. 72, 8165 (2024).
  46. H. Fan, S. Kumar, J. Sheng, J. P. Shaffer, C. L. Holloway, and J. A. Gordon, Effect of vapor-cell geometry on Rydberg-atom-based measurements of radio-frequency electric fields, Phys. Rev. Appl. 4, 044015 (2015).
  47. B. Wu, J. Yao, F. Wu, Q. An, and Y. Fu, Dependence of Rydberg-atom-based sensor performance on different Rydberg atom populations in one atomic-vapor cell, Chin. Phys. B 33, 024205 (2024).
  48. Z. Song, W. Zhang, Q. Wu, H. Mu, X. Liu, L. Zhang, and J. Qu, Field distortion and optimization of a vapor cell in Rydberg atom-based radio-frequency electric field measurement, Sensors 18, 3205 (2018).

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