Reuse & Permissions

It is not necessary to obtain permission to reuse this article or its components as it is available under the terms of the Creative Commons Attribution 4.0 International license. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI are maintained. Please note that some figures may have been included with permission from other third parties. It is your responsibility to obtain the proper permission from the rights holder directly for these figures.

Export citation

Export citation

Choose format for download:

Download Citation
  • Open Access
  • Access by Xinjiang University

Resolving magnetic-sublevel structure in Rydberg Autler-Townes spectra with arbitrary rf polarization

Noah Schlossberger1,*, Rajavardhan Talashila1,2, Stone B. Oliver1,2, Nikunjkumar Prajapati1, William J. Watterson1, and Christopher L. Holloway1

  • *Contact author: noah.schlossberger@nist.gov

Phys. Rev. A 114, 033701 – Published 1 September, 2026

DOI: https://doi.org/10.1103/w5k9-1mlh

Abstract

We investigate the role of magnetic sublevels in Autler-Townes spectra of Rydberg atoms driven by radio-frequency (rf) fields with arbitrary polarization. While conventional treatments predict two symmetric sidebands from independent mJ transitions, experiments have reported additional unexplained spectral features. We show that these arise from elliptical rf polarization, which coherently couples multiple magnetic sublevels and requires a full multilevel treatment. We develop and diagonalize a Hamiltonian including all coupled mJ sublevels, predicting polarization-dependent degeneracies that produce varying numbers of resolved peaks. Using long-wavelength transitions and an anechoic environment we realize homogeneous rf fields that enable complete resolution of the mJ-dependent dressed states. We observe excellent agreement with theory as the rf ellipticity is varied. These results demonstrate that rf polarization fundamentally modifies Autler-Townes spectra and provide a consistent framework for interpreting magnetic-sublevel structures, with implications for Rydberg-based rf electrometry and polarimetry.

View figure in article

Physics Subject Headings (PhySH)

Corrections

2 September, 2026

Correction: An explanatory note in Ref. [12] was omitted during the proof process and has been inserted.

Article Text

References (21)

  1. 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).
  2. C. T. Fancher, D. R. Scherer, M. C. S. John, and B. L. S. Marlow, Rydberg atom electric field sensors for communications and sensing, IEEE Trans. Quantum Eng. 2, 3501313 (2021).
  3. J. A. Sedlacek, A. Schwettmann, H. Kübler, and J. P. Shaffer, Atom-based vector microwave electrometry using rubidium Rydberg atoms in a vapor cell, Phys. Rev. Lett. 111, 063001 (2013).
  4. Y. Jiao, L. Hao, X. Han, S. Bai, G. Raithel, J. Zhao, and S. Jia, Atom-based radio-frequency field calibration and polarization measurement using cesium nDJ Floquet states, Phys. Rev. Appl. 8, 014028 (2017).
  5. A. Chopinaud and J. D. Pritchard, Optimal state choice for Rydberg-atom microwave sensors, Phys. Rev. Appl. 16, 024008 (2021).
  6. M. Cloutman, M. Chilcott, A. Elliott, J. S. Otto, A. B. Deb, and N. Kjærgaard, Polarization-insensitive microwave electrometry using Rydberg atoms, Phys. Rev. Appl. 21, 044025 (2024).
  7. R. Talashila, W. J. Watterson, B. L. Moser, J. A. Gordon, A. B. Artusio-Glimpse, N. Prajapati, N. Schlossberger, M. T. Simons, and C. L. Holloway, Determining angle of arrival of radio-frequency fields using subwavelength, amplitude-only measurements of standing waves in a Rydberg atom sensor, J. Appl. Phys. 138, 114402 (2025).
  8. M. Cloutman, M. Chilcott, A. Elliott, J. S. Otto, A. B. Deb, and N. Kjærgaard, Electromagnetically induced transparency spectroscopy of Rydberg levels dressed by linearly polarized rf fields: Complementary angular response for two types of transition ladders, Phys. Rev. Res. 8, 033089 (2026).
  9. R. Behary, W. Torg, M. Vorobiov, N. DeStefano, A. Vernon, C. T. Fancher, N. Malvania, E. E. Mikhailov, S. Aubin, and I. Novikova, Effects of static dc electric-field orientation on two-photon Rydberg electromagnetically induced transparency, Phys. Rev. A 113, 062619 (2026).
  10. 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).
  11. S. H. You, M. H. Cai, H. A. Zhang, Z. F. Song, and H. Liu, RF spectra induced by different polarized microwave, AIP Adv. 14, 015245 (2024).
  12. M. Cloutman, M. Chilcott, A. Elliott, J. S. Otto, A. B. Deb, and N. Kjærgaard, Rydberg atomic polarimetry of radio-frequency fields, arXiv:2503.17997v5. (We refer here specifically to information found in the arXiv version of Ref. [8].)
  13. N. Schlossberger, A. P. Rotunno, A. B. Artusio-Glimpse, N. Prajapati, S. Berweger, D. Shylla, M. T. Simons, and C. L. Holloway, Zeeman-resolved Autler-Townes splitting in Rydberg atoms with tunable resonances and a single transition dipole moment, Phys. Rev. A 109, L021702 (2024).
  14. A. P. Rotunno, C. L. Holloway, N. Prajapati, S. Berweger, A. B. Artusio-Glimpse, R. Brown, M. Simons, A. K. Robinson, B. N. Kayim, M. A. Viray, J. F. Jones, B. C. Sawyer, R. Wyllie, T. Walker, R. W. Ziolkowski, S. R. Jefferts, S. Geibel, J. Wheeler, and E. Imhof, Investigating electromagnetically induced transparency spectral lineshape distortion due to non-uniform fields in Rydberg-atom electrometry, J. Appl. Phys. 134, 084401 (2023).
  15. C. L. Holloway, N. Prajapati, A. B. Artusio-Glimpse, S. Berweger, M. T. Simons, Y. Kasahara, A. Alù, and R. W. Ziolkowski, Rydberg atom-based field sensing enhancement using a split-ring resonator, Appl. Phys. Lett. 120, 204001 (2022).
  16. 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).
  17. N. Schlossberger, N. Prajapati, E. B. Norrgard, S. P. Eckel, and C. L. Holloway, Population-resolved measurement of an avoided crossing of light-dressed states, Phys. Rev. A 112, 053716 (2025).
  18. 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).
  19. A. Edmonds, Angular Momentum in Quantum Mechanics, Investigations in Physics Series (Princeton University Press, Princeton, NJ, 1996).
  20. M. Chilcott, L. N. Stokholm, M. Cloutman, J. S. Otto, A. B. Deb, and N. Kjærgaard, Quantum-enabled complete rf-polarimetry with an optically-wired atomic sensor, arXiv:2605.14529.
  21. N. Schlossberger, Data associated with “Resolving magnetic-sublevel structure in Rydberg Autler-Townes spectra with arbitrary rf polarization” [Dataset], National Institute of Standards and Technology, 2026 https://doi.org/10.18434/mds2-4157.

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation