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

Search for high-frequency gravitational waves via reanalysis of cavity axion data

Younggeun Kim1,2,3,*, Jordan Gué4, Changhao Xu1,2,3, Diego Blas4,5, Dmitry Budker1,2,3,6, Sungjae Bae7,8, Claudio Gatti9, Junu Jeong10, Jihn E. Kim11 et al.

Kiwoong Lee8, Arjan F. van Loo12,13,†, Yasunobu Nakamura12,13, Seonjeong Oh7,8, Wolfram Ratzinger14, Taehyeon Seong7,8, Yannis K. Semertzidis8,15, Kristof Schmieden16, Mattias Schott16, Sergey Uchaikin7,8, and SungWoo Youn7,8

  • *Contact author: kimyoung@uni-mainz.de
  • †Present address: Alice & Bob, 49 Boulevard Du Général Martial Valin, Paris 75015, France.

Phys. Rev. D 113, 072015 – Published 24 April, 2026

DOI: https://doi.org/10.1103/yqms-lznb

Abstract

Monochromatic high-frequency gravitational waves (HFGWs) provide a distinctive probe of new physics scenarios, most notably axion clouds around rotating black holes formed via superradiance. We reanalyzed data from the CAPP-12T multicell axion haloscope experiment [Kim et al., Phys. Rev. Lett. 133, 051802 (2024)]. The study covers a continuous 2 MHz frequency span centered at 5.311 GHz. No rescan candidates were found, and we set 90% confidence-level exclusion limits on the gravitational-wave strain, reaching h0≈3.9×10−21 in the most sensitive regions of the sky. Interpreted in the context of black hole superradiance from axion clouds, the results exclude black holes with mass MBH≃1.22×10−6M⊙ within distances of O(10−2) AU from Earth, under benchmark assumptions. This work demonstrates the potential of electromagnetic resonant cavities as novel detectors of monochromatic HFGWs and motivates future searches for both long-lived and transient signals.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (62)

  1. B. P. Abbott et al. (LIGO Scientific and Virgo Collaborations), Phys. Rev. Lett. 116, 061102 (2016).
  2. F. Acernese et al. (Virgo Collaboration), Classical Quantum Gravity 32, 024001 (2015).
  3. T. Akutsu et al. (KAGRA Collaboration), Prog. Theor. Exp. Phys. 2021, 05A101 (2021).
  4. G. Agazie et al. (NANOGrav Collaboration), Astrophys. J. Lett. 951, L8 (2023).
  5. J. Antoniadis et al. (EPTA and InPTA Collaborations), Astron. Astrophys. 678, A48 (2023).
  6. Y. Akrami et al. (Planck Collaboration), Astron. Astrophys. 641, A10 (2020).
  7. P. A. R. Ade et al. (BICEP/Keck Collaborations), Phys. Rev. Lett. 127, 151301 (2021).
  8. C. Caprini and D. G. Figueroa, Classical Quantum Gravity 35, 163001 (2018).
  9. N. Aggarwal et al., Living Rev. Relativity 28, 10 (2025).
  10. S. Y. Khlebnikov and I. I. Tkachev, Phys. Rev. D 56, 653 (1997).
  11. M. Hindmarsh, S. J. Huber, K. Rummukainen, and D. J. Weir, Phys. Rev. Lett. 112, 041301 (2014).
  12. M. Hindmarsh, S. J. Huber, K. Rummukainen, and D. J. Weir, Phys. Rev. D 96, 103520 (2017).
  13. L. Leblond, B. Shlaer, and X. Siemens, Phys. Rev. D 79, 123519 (2009).
  14. G. Franciolini, A. Maharana, and F. Muia, Phys. Rev. D 106, 103520 (2022).
  15. A. Arvanitaki, S. Dimopoulos, S. Dubovsky, N. Kaloper, and J. March-Russell, Phys. Rev. D 81, 123530 (2010).
  16. A. Arvanitaki, M. Baryakhtar, and X. Huang, Phys. Rev. D 91, 084011 (2015).
  17. R. Brito, V. Cardoso, and P. Pani, Superradiance: New Frontiers in Black Hole Physics, Lecture Notes in Physics Vol. 971 (Springer, New York, 2020).
  18. R. Ballantini, P. Bernard, E. Chiaveri, A. Chincarini, G. Gemme, R. Losito, R. Parodi, and E. Picasso, Classical Quantum Gravity 20, 3505 (2003).
  19. R. Ballantini, P. Bernard, S. Calatroni, E. Chiaveri, A. Chincarini, R. P. Croce, S. Cuneo, V. Galdi, G. Gemme, R. Losito, R. Parodi, E. Picasso, V. Pierro, I. M. Pinto, A. Podesta’, and R. Vaccarone, arXiv:gr-qc/0502054.
  20. A. Berlin, D. Blas, R. T. D’Agnolo, S. A. R. Ellis, R. Harnik, Y. Kahn, J. Schütte-Engel, and M. Wentzel, Phys. Rev. D 108, 084058 (2023).
  21. V. Domcke, C. Garcia-Cely, and N. L. Rodd, Phys. Rev. Lett. 129, 041101 (2022).
  22. K. M. W. Pappas et al., arXiv:2505.02821.
  23. M. Goryachev and M. E. Tobar, Phys. Rev. D 90, 102005 (2014); 108, 129901(E) (2023).
  24. M. Goryachev, W. M. Campbell, I. S. Heng, S. Galliou, E. N. Ivanov, and M. E. Tobar, Phys. Rev. Lett. 127, 071102 (2021).
  25. W. M. Campbell, M. Goryachev, and M. E. Tobar, Sci. Rep. 13, 10638 (2023).
  26. W. M. Campbell, L. Mariani, M. E. Tobar, and M. Goryachev, Phys. Rev. Lett. 135, 251402 (2025).
  27. A. S. Chou, R. Gustafson, C. J. Hogan, O. Kwon, J. Lykken, L. McCuller, J. Richardson, C. Stoughton, R. Tomlin, and R. Weiss, Phys. Rev. D 95, 063002 (2017).
  28. M. E. Gertsenshtein, Zh. Eksp. Teor. Fiz. 41, 113 (1961) [Sov. Phys. JETP 14, 84 (1962)].
  29. A. M. Cruise, Classical Quantum Gravity 17, 2525 (2000).
  30. A. Berlin, D. Blas, R. T. D’Agnolo, S. A. R. Ellis, R. Harnik, Y. Kahn, and J. Schütte-Engel, Phys. Rev. D 105, 116011 (2022).
  31. D. Ahn, Y.-B. Bae, S. H. Im, and C. Park, Phys. Rev. D 110, 064061 (2024).
  32. W. Ratzinger, S. Schenk, and P. Schwaller, J. High Energy Phys. 08 (2024) 195.
  33. J. Gué, T. Krokotsch, and G. Moortgat-Pick, arXiv:2602.08507.
  34. P. Sikivie, Phys. Rev. Lett. 51, 1415 (1983).
  35. C. Bartram et al., Rev. Sci. Instrum. 94, 044703 (2023).
  36. Y. Kim, J. Jeong, S. Youn, S. Bae, K. Lee, A. F. van Loo, Y. Nakamura, S. Oh, T. Seong, S. Uchaikin, J. E. Kim, and Y. K. Semertzidis, Phys. Rev. Lett. 133, 051802 (2024).
  37. S. Ahn et al., Phys. Rev. X 14, 031023 (2024).
  38. S. Bae, J. Jeong, Y. Kim, S. Youn, J. Kim, A. F. van Loo, Y. Nakamura, S. Oh, T. Seong, S. Uchaikin, J. E. Kim, and Y. K. Semertzidis, Phys. Rev. Lett. 135, 091804 (2025).
  39. A. Quiskamp, B. T. McAllister, P. Altin, E. N. Ivanov, M. Goryachev, and M. E. Tobar, Phys. Rev. Lett. 132, 031601 (2024).
  40. A. Rettaroli et al. (QUAX Collaboration), Phys. Rev. D 110, 022008 (2024).
  41. X. Bai et al. (HAYSTAC Collaboration), Phys. Rev. Lett. 134, 151006 (2025).
  42. J. E. Kim, Phys. Rev. Lett. 43, 103 (1979).
  43. M. Shifman, A. Vainshtein, and V. Zakharov, Nucl. Phys. B166, 493 (1980).
  44. A. Arvanitaki and S. Dubovsky, Phys. Rev. D 83, 044026 (2011).
  45. S. J. Zhu, M. Baryakhtar, M. A. Papa, D. Tsuna, N. Kawanaka, and H.-B. Eggenstein, Phys. Rev. D 102, 063020 (2020).
  46. H. Yoshino and H. Kodama, Classical Quantum Gravity 32, 214001 (2015).
  47. M. Maggiore, Gravitational Waves. Volume 1: Theory and Experiments (Oxford University Press, New York, 2008).
  48. H. B. Callen and T. A. Welton, Phys. Rev. 83, 34 (1951).
  49. H. Friis, Proc. IRE 32, 419 (1944).
  50. K. M. Sliwa, M. Hatridge, A. Narla, S. Shankar, L. Frunzio, R. J. Schoelkopf, and M. H. Devoret, Phys. Rev. X 5, 041020 (2015).
  51. D. M. Pozar, Microwave Engineering 3rd ed. (Wiley, Hoboken, NJ, 2005).
  52. D. Kajfez and E. Hwan, IEEE Trans. Microwave Theory Tech. 32, 666 (1984).
  53. L. Zhong, E. P. Menzel, R. Di Candia, P. Eder, M. Ihmig, A. Baust, M. Haeberlein, E. Hoffmann, K. Inomata, T. Yamamoto, Y. Nakamura, E. Solano, F. Deppe, A. Marx, and R. Gross, New J. Phys. 15, 125013 (2013).
  54. T. Yamamoto, K. Koshino, and Y. Nakamura, Parametric amplifier and oscillator based on josephson junction circuitry, in Principles and Methods of Quantum Information Technologies, edited by Y. Yamamoto and K. Semba (Springer Japan, Tokyo, 2016), pp. 495–513.
  55. J. A. Nelder and R. Mead, Comput. J. (UK) 7, 308 (1965).
  56. Y. Kim, J. Jeong, S. Youn, S. Bae, A. F. van Loo, Y. Nakamura, S. Uchaikin, and Y. K. Semertzidis, Electronics 13 (2024).
  57. Some works instead use a proper-detector-frame formulation (e.g., Ref. [30]). The observable response is gauge invariant, and the apparent differences arise from whether mechanical/boundary-motion effects are written explicitly as additional terms. As discussed in Refs. [32, 33], in the resonant regime one must consistently include the boundary-motion/mechanical-response contributions in a proper-detector-frame treatment to recover an equivalent result. In our regime (f≃5.3  GHz≫fmech), boundary motion at ωG is negligible, making the TT-frame conversion calculation appropriate.

  58. However, because of the α17 scaling, even a modest increase in α leads to a rapidly growing drift that can exceed the resolution bandwidth, in which case the signal would no longer appear strictly monochromatic.

  59. B. M. Brubaker, L. Zhong, S. K. Lamoreaux, K. W. Lehnert, and K. A. van Bibber, Phys. Rev. D 96, 123008 (2017).
  60. The uncertainties listed in the text represent the ratio of each component defined in terms of the power SNR. Therefore, when calculating the uncertainty in strain, each contribution is weighted by one half.

  61. B. F. Schutz, A First Course In General Relativity (Cambridge University Press, Cambridge, England, 1985).
  62. J. D. Jackson, Classical Electrodynamics (Wiley, New York, 1998).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation