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Squeezing-Enhanced Sensing at an Exceptional Point

Changqing Wang1,*, Deyuan Hu2, Silvia Zorzetti1, Anna Grassellino1, Alexander Romanenko1, and Zheshen Zhang2,†

  • *Contact author: cqwang@fnal.gov
  • †Contact author: zszh@umich.edu

Phys. Rev. Lett. 136, 250801 – Published 23 June, 2026

DOI: https://doi.org/10.1103/kmtx-7x9d

Abstract

Pushing the boundaries of measurement precision is central for sensing and metrology, pursued by nonclassical resources such as squeezing, as well as non-Hermitian degeneracies with distinct spectral response. Their convergence, however, remains challenging. We find extraordinary enhancement of sensitivity by unifying both effects in a general framework for quantum sensing in open systems. At the parametric oscillation threshold and an exceptional point, the sensing precision exhibits a unique quartic scaling with the perturbation strength. The result generalizes to multimode squeezed-state sensors with higher-order exceptional points catered to various quantum sensing platforms.

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References (63)

  1. C. L. Degen, F. Reinhard, and P. Cappellaro, Rev. Mod. Phys. 89, 035002 (2017).
  2. S. Pirandola, B. R. Bardhan, T. Gehring, C. Weedbrook, and S. Lloyd, Nat. Photonics 12, 724 (2018).
  3. R. Loudon and P. L. Knight, J. Mod. Opt. 34, 709 (1987).
  4. A. I. Lvovsky, Photonics 1, 121 (2015).
  5. B. J. Lawrie, P. D. Lett, A. M. Marino, and R. C. Pooser, ACS Photonics 6, 1307 (2019).
  6. M. Tse, H. Yu, N. Kijbunchoo, A. Fernandez-Galiana, P. Dupej, L. Barsotti, C. Blair, D. Brown, S. Dwyer, A. Effler et al., Phys. Rev. Lett. 123, 231107 (2019).
  7. F. Acernese, M. Agathos, L. Aiello, A. Allocca, A. Amato, S. Ansoldi, S. Antier, M. Arène, N. Arnaud, S. Ascenzi et al., Phys. Rev. Lett. 123, 231108 (2019).
  8. A. Dutt, K. Luke, S. Manipatruni, A. L. Gaeta, P. Nussenzveig, and M. Lipson, Phys. Rev. Appl. 3, 044005 (2015).
  9. J. U. Fürst, D. V. Strekalov, D. Elser, A. Aiello, U. L. Andersen, C. Marquardt, and G. Leuchs, Phys. Rev. Lett. 106, 113901 (2011).
  10. E. E. Wollman, C. Lei, A. Weinstein, J. Suh, A. Kronwald, F. Marquardt, A. A. Clerk, and K. Schwab, Science 349, 952 (2015).
  11. Y. Xia, A. R. Agrawal, C. M. Pluchar, A. J. Brady, Z. Liu, Q. Zhuang, D. J. Wilson, and Z. Zhang, Nat. Photonics 17, 470 (2023).
  12. K. M. Backes, D. A. Palken, S. A. Kenany, B. M. Brubaker, S. Cahn, A. Droster, G. C. Hilton, S. Ghosh, H. Jackson, S. K. Lamoreaux et al., Nature (London) 590, 238 (2021).
  13. I. Frérot and T. Roscilde, Phys. Rev. Lett. 121, 020402 (2018).
  14. R. Di Candia, F. Minganti, K. Petrovnin, G. S. Paraoanu, and S. Felicetti, npj Quantum Inf. 9, 23 (2023).
  15. U. Alushi, W. Górecki, S. Felicetti, and R. Di Candia, Phys. Rev. Lett. 133, 040801 (2024).
  16. W. Górecki, F. Albarelli, S. Felicetti, R. Di Candia, and L. Maccone, PRX Quantum 6, 020351 (2025).
  17. U. Alushi, A. Coppo, V. Brosco, R. Di Candia, and S. Felicetti, Commun. Phys. 8, 74 (2025).
  18. G. Beaulieu, F. Minganti, S. Frasca, M. Scigliuzzo, S. Felicetti, R. Di Candia, and P. Scarlino, PRX Quantum 6, 020301 (2025).
  19. R. El-Ganainy, K. G. Makris, M. Khajavikhan, Z. H. Musslimani, S. Rotter, and D. N. Christodoulides, Nat. Phys. 14, 11 (2018).
  20. L. Feng, R. El-Ganainy, and L. Ge, Nat. Photonics 11, 752 (2017).
  21. Ş. K. Özdemir, S. Rotter, F. Nori, and L. Yang, Nat. Mater. 18, 783 (2019).
  22. C. Wang, Z. Fu, W. Mao, J. Qie, A. D. Stone, and L. Yang, Adv. Opt. Photonics 15, 442 (2023).
  23. M.-A. Miri and A. Alu, Science 363, eaar7709 (2019).
  24. M. Naghiloo, M. Abbasi, Y. N. Joglekar, and K. Murch, Nat. Phys. 15, 1232 (2019).
  25. C. Wang, W. R. Sweeney, A. D. Stone, and L. Yang, Science 373, 1261 (2021).
  26. W. Chen, M. Abbasi, Y. N. Joglekar, and K. W. Murch, Phys. Rev. Lett. 127, 140504 (2021).
  27. R. Kononchuk, J. Cai, F. Ellis, R. Thevamaran, and T. Kottos, Nature (London) 607, 697 (2022).
  28. Y.-X. Wang and A. A. Clerk, Phys. Rev. A 99, 063834 (2019).
  29. F. Minganti, A. Miranowicz, R. W. Chhajlany, and F. Nori, Phys. Rev. A 100, 062131 (2019).
  30. J. Wiersig, Phys. Rev. Lett. 112, 203901 (2014).
  31. J. Wiersig, Photonics Res. 8, 1457 (2020).
  32. W. Chen, Ş. Kaya Özdemir, G. Zhao, J. Wiersig, and L. Yang, Nature (London) 548, 192 (2017).
  33. H. Hodaei, A. U. Hassan, S. Wittek, H. Garcia-Gracia, R. El-Ganainy, D. N. Christodoulides, and M. Khajavikhan, Nature (London) 548, 187 (2017).
  34. Q. Zhong, J. Ren, M. Khajavikhan, D. N. Christodoulides, Ş. K. Özdemir, and R. El-Ganainy, Phys. Rev. Lett. 122, 153902 (2019).
  35. Y.-H. Lai, Y.-K. Lu, M.-G. Suh, Z. Yuan, and K. Vahala, Nature (London) 576, 65 (2019).
  36. M. P. Hokmabadi, A. Schumer, D. N. Christodoulides, and M. Khajavikhan, Nature (London) 576, 70 (2019).
  37. J.-H. Park, A. Ndao, W. Cai, L. Hsu, A. Kodigala, T. Lepetit, Y.-H. Lo, and B. Kanté, Nat. Phys. 16, 462 (2020).
  38. Z. Dong, Z. Li, F. Yang, C.-W. Qiu, and J. S. Ho, Natl. Electron. Rev. 2, 335 (2019).
  39. M.-N. Zhang, L. Dong, L.-F. Wang, and Q.-A. Huang, Microsyst. Nanoeng. 10, 12 (2024).
  40. W. Langbein, Phys. Rev. A 98, 023805 (2018).
  41. W. Ding, X. Wang, and S. Chen, Phys. Rev. Lett. 131, 160801 (2023).
  42. H.-K. Lau and A. A. Clerk, Nat. Commun. 9, 4320 (2018).
  43. R. Duggan, S. A. Mann, and A. Alù, ACS Photonics 9, 1554 (2022).
  44. H. Loughlin and V. Sudhir, Phys. Rev. Lett. 132, 243601 (2024).
  45. A. Almanakly, R. Assouly, H. H. Kang, M. Gingras, B. M. Niedzielski, H. Stickler, M. E. Schwartz, K. Serniak, M. Hays, J. A. Grover et al., Phys. Rev. Lett. 136, 183601 (2026).
  46. H. Wang, Y.-H. Lai, Z. Yuan, M.-G. Suh, and K. Vahala, Nat. Commun. 11, 1610 (2020).
  47. M. Zhang, W. Sweeney, C. W. Hsu, L. Yang, A. D. Stone, and L. Jiang, Phys. Rev. Lett. 123, 180501 (2019).
  48. X.-W. Luo, C. Zhang, and S. Du, Phys. Rev. Lett. 128, 173602 (2022).
  49. W. S. Teixeira, V. Vadimov, T. Mörstedt, S. Kundu, and M. Möttönen, Phys. Rev. Res. 5, 033119 (2023).
  50. See Supplemental Material at http://link.aps.org/supplemental/10.1103/kmtx-7x9d for detailed definitions, calculations, derivations, and additional analyses supporting the results presented in the main text, which includes Refs. [51–54].
  51. C. Gardiner and P. Zoller, Quantum Noise: A Handbook of Markovian and Non-Markovian Quantum Stochastic Methods with Applications to Quantum Optics (Springer Science & Business Media, New York, 2004).
  52. Y. Zhao, Y. Okawachi, J. K. Jang, X. Ji, M. Lipson, and A. L. Gaeta, Phys. Rev. Lett. 124, 193601 (2020).
  53. B. Peng, Ş. K. Özdemir, F. Lei, F. Monifi, M. Gianfreda, G. L. Long, S. Fan, F. Nori, C. M. Bender, and L. Yang, Nat. Phys. 10, 394 (2014).
  54. C. Wang, X. Jiang, W. R. Sweeney, C. W. Hsu, Y. Liu, G. Zhao, B. Peng, M. Zhang, L. Jiang, A. D. Stone et al., Proc. Natl. Acad. Sci. U.S.A. 118, e2012982118 (2021).
  55. Z. Jiang, Phys. Rev. A 89, 032128 (2014).
  56. Y. Chu, S. Zhang, B. Yu, and J. Cai, Phys. Rev. Lett. 126, 010502 (2021).
  57. L.-A. Wu, M. Xiao, and H. Kimble, J. Opt. Soc. Am. B 4, 1465 (1987).
  58. B.-H. Wu, R. N. Alexander, S. Liu, and Z. Zhang, Phys. Rev. Res. 2, 023138 (2020).
  59. R. E. Slusher, L. W. Hollberg, B. Yurke, J. C. Mertz, and J. F. Valley, Phys. Rev. Lett. 55, 2409 (1985).
  60. A. Dutt, S. Miller, K. Luke, J. Cardenas, A. L. Gaeta, P. Nussenzveig, and M. Lipson, Opt. Lett. 41, 223 (2016).
  61. C. Wang, X. Jiang, G. Zhao, M. Zhang, C. W. Hsu, B. Peng, A. D. Stone, L. Jiang, and L. Yang, Nat. Phys. 16, 334 (2020).
  62. A. A. Clerk, M. H. Devoret, S. M. Girvin, F. Marquardt, and R. J. Schoelkopf, Rev. Mod. Phys. 82, 1155 (2010).
  63. M. Partanen, J. Goetz, K. Y. Tan, K. Kohvakka, V. Sevriuk, R. E. Lake, R. Kokkoniemi, J. Ikonen, D. Hazra, A. Mäkinen et al., Phys. Rev. B 100, 134505 (2019).

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