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

Demonstration of an interferometric technique for measuring vacuum magnetic birefringence with an optical cavity

Aaron D. Spector* and Todd Kozlowski

Laura Roberts

  • *Contact author: aaron.spector@desy.de

Phys. Rev. A 113, 063518 – Published 11 June, 2026

DOI: https://doi.org/10.1103/r33m-v1kn

Abstract

Vacuum magnetic birefringence (VMB) is an effect predicted by quantum electrodynamics in which the vacuum behaves as a nonlinear optical medium and exhibits a birefringence in the presence of a magnetic field. In this work, an interferometric scheme is introduced to measure this effect by sensing the changes in the frequencies of fields stabilized to the resonances of an optical cavity. Results are presented from a prototype setup with this sensing technique implemented on a 19-m test cavity without a magnetic field. We propose using this scheme for a measurement of VMB with a 245-m-long optical cavity and a string of 24 superconducting magnets, arranged for the ALPS II experiment. In this manuscript we examine potential sources of noise in the prototype and project these results in terms of the sensitivity of the full-scale experiment.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (23)

  1. P. A. M. Dirac, A theory of electrons and protons, Proc. R. Soc. London A 126, 360 (1930).
  2. H. Euler and B. Kockel, Über die Streuung von Licht an Licht nach der Diracschen Theorie, Naturwissenschaften 23, 246 (1935).
  3. W. Heisenberg and H. Euler, Folgerungen aus der Diracschen Theorie des Positrons, Z. Phys. 98, 714 (1936).
  4. H. Gies, J. Jaeckel, and A. Ringwald, Polarized light propagating in a magnetic field as a probe of millicharged fermions, Phys. Rev. Lett. 97, 140402 (2006).
  5. C. Marmier, N. Seegert, and F. Karbstein, Impact of background field localization on vacuum polarization effects, Phys. Rev. D 111, 016005 (2025).
  6. R. Cameron, G. Cantatore, A. C. Melissinos, G. Ruoso, Y. Semertzidis, H. J. Halama, D. M. Lazarus, A. G. Prodell, F. Nezrick, C. Rizzo, et al., Search for nearly massless, weakly coupled particles by optical techniques, Phys. Rev. D 47, 3707 (1993).
  7. A. Ejlli, F. Della Valle, U. Gastaldi, G. Messineo, R. Pengo, G. Ruoso, and G. Zavattini, The PVLAS experiment: A 25 year effort to measure vacuum magnetic birefringence, Phys. Rep. 871, 1 (2020).
  8. M. T. Hartman, R. Battesti, and C. Rizzo, Characterization of the vacuum birefringence polarimeter at BMV: Dynamical cavity mirror birefringence, IEEE Trans. Instrum. Meas. 68, 2268 (2019).
  9. X. Fan, S. Kamioka, T. Inada, T. Yamazaki, T. Namba, S. Asai, J. Omachi, K. Yoshioka, M. Kuwata-Gonokami, A. Matsuo, et al., The OVAL experiment: A new experiment to measure vacuum magnetic birefringence using high repetition pulsed magnets, Eur. Phys. J. D 71, 308 (2017).
  10. J. L. Hall, J. Ye, and L.-S. Ma, Measurement of mirror birefringence at the sub-ppm level: Proposed application to a test of QED, Phys. Rev. A 62, 013815 (2000).
  11. C. Albrecht, S. Barbanotti, H. Hintz, K. Jensch, R. Klos, W. Maschmann, O. Sawlanski, M. Stolper, and D. Trines, Straightening of superconducting HERA dipoles for the any-light-particle-search experiment ALPS II, EPJ Tech. Instrum. 8, 5 (2021).
  12. T. Kozlowski, L.-W. Wei, A. D. Spector, A. Hallal, H. Frädrich, D. C. Brotherton, I. Oceano, A. Ejlli, H. Grote, H. Hollis, et al., Design and performance of the ALPS II regeneration cavity, Opt. Express 33, 11153 (2025).
  13. S.-X. Yang, Y.-P. Zhang, W.-H. Tan, C.-G. Shao, M.-K. Zhou, and S.-Q. Yang, Study of the birefringence noise in high-finesse ULE cavity, Opt. Laser Technol. 181, 111660 (2025).
  14. J. Yu, S. Häfner, T. Legero, S. Herbers, D. Nicolodi, C. Y. Ma, F. Riehle, U. Sterr, D. Kedar, J. M. Robinson, E. Oelker, and J. Ye, Excess noise and photoinduced effects in highly reflective crystalline mirror coatings, Phys. Rev. X 13, 041002 (2023).
  15. R. V. Pound, Electronic frequency stabilization of microwave oscillators, Rev. Sci. Instrum. 17, 490 (1946).
  16. R. W. P. Drever, J. L. Hall, F. Kowalski, J. Hough, G. Ford, A. Munley, and H. Ward, Laser phase and frequency stabilization using an optical resonator, Appl. Phys. B 31, 97 (1983).
  17. E. D. Black, An introduction to Pound–Drever–Hall laser frequency stabilization, Am. J. Phys. 69, 79 (2001).
  18. T. Isogai, J. Miller, P. Kwee, L. Barsotti, and M. Evans, Loss in long-storage-time optical cavities, Opt. Express 21, 30114 (2013).
  19. Y. Drori, J. Eichholz, T. Edo, H. Yamamoto, Y. Enomoto, G. Venugopalan, K. Arai, and R. X. Adhikari, Scattering loss in precision metrology due to mirror roughness, J. Opt. Soc. Am. A 39, 969 (2022).
  20. A. D. Spector and T. Kozlowski, Optical cavity characterization with a mode-matched heterodyne sensing scheme, Opt. Express 32, 27112 (2024).
  21. D. Kedar, Z. Yao, I. Ryger, J. L. Hall, and J. Ye, Synthetic FM triplet for AM-free precision laser stabilization and spectroscopy, Optica 11, 58 (2024).
  22. J. Gillot, S. F. Tetsing-Talla, S. Denis, G. Goavec-Merou, J. Millo, C. Lacroûte, and Y. Kersalé, Digital control of residual amplitude modulation at the 10−7 level for ultra-stable lasers, Opt. Express 30, 35179 (2022).
  23. P. Micossi, F. D. Valle, E. Milotti, E. Zavattini, C. Rizzo, and G. Ruoso, Measurement of the birefringence properties of the reflecting surface of an interferential mirror, Appl. Phys. B 57, 95 (1993).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation