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  • Open Access

Nonreciprocal transmission in a cavity-magnon system by rotational Sagnac effect

Zhe-Qi Yang, Si-Qi Lin, and Zhi-Rong Zhong*

  • Fujian Key Laboratory of Quantum Information and Quantum Optics, College of Physics and Information Engineering, Fuzhou University, Fuzhou, Fujian 350108, China

  • *Contact author: zhirz@fzu.edu.cn

Phys. Rev. Research 7, 043256 – Published 8 December, 2025

DOI: https://doi.org/10.1103/27cz-jqd4

Abstract

Ultrahigh nonreciprocal transmission has been achieved in a cavity-magnon system, which consists of two whispering gallery modes (WGMs) and a single magnon mode within a magnetic insulator yttrium iron garnet sphere. The nonreciprocal frequency shift induced by the Sagnac effect enables unidirectional transmission of an input field, while suppressing propagation in the opposite direction, thereby facilitating nonreciprocal optical transmission. Within experimentally accessible parameter regimes, the optical isolation ratio can exceed 40 dB, representing the highest isolation ratio reported to date. Furthermore, applying squeezing to the magnon mode further enhances this isolation performance. Additionally, the directionality of light isolation can be reversed simply by modifying the rotation of the WGM cavity. These findings offer promising prospects for developing high-performance, tunable, and compact optical nonreciprocal devices.

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References (85)

  1. S. Barzanjeh, A. Xuereb, A. Alù, S. A. Mann, N. Nefedkin, V. Peano, and P. Rabl, Nonreciprocity in quantum technology, arXiv:2508.03945 [quant-ph].
  2. D. L. Sounas and A. Alù, Non-reciprocal photonics based on time modulation, Nat. Photon. 11, 774 (2017).
  3. T. Shui, W.-X. Yang, M.-T. Cheng, and R.-K. Lee, Optical nonreciprocity and nonreciprocal photonic devices with directional four-wave mixing effect, Opt. Express 30, 6284 (2022).
  4. H. Xie, L.-W. He, X. Shang, G.-W. Lin, and X.-M. Lin, Nonreciprocal photon blockade in cavity optomagnonics, Phys. Rev. A 106, 053707 (2022).
  5. T. Mariz, J. R. Nascimento, and A. Petrov, Lorentz Symmetry Breaking—Classical and Quantum Aspects, SpringerBriefs in Physics (Springer, Cham, 2023).
  6. D. Jalas, A. Petrov, M. Eich, W. Freude, S. Fan, Z. Yu, R. Baets, M. Popović, A. Melloni, J. D. Joannopoulos et al., What is—and what is not—an optical isolator, Nat. Photon. 7, 579 (2013).
  7. K. L. Tsakmakidis, L. Shen, S. A. Schulz, X. Zheng, J. Upham, X. Deng, H. Altug, A. F. Vakakis, and R. W. Boyd, Breaking Lorentz reciprocity to overcome the time-bandwidth limit in physics and engineering, Science 356, 1260 (2017).
  8. Z.-Y. Wang, J. Qian, Y.-P. Wang, J. Li, and J. Q. You, Realization of the unidirectional amplification in a cavity magnonic system, Appl. Phys. Lett. 123, 153904 (2023).
  9. E. I. Rosenthal, B. J. Chapman, A. P. Higginbotham, J. Kerckhoff, and K. W. Lehnert, Breaking Lorentz reciprocity with frequency conversion and delay, Phys. Rev. Lett. 119, 147703 (2017).
  10. L. J. Aplet and J. W. Carson, A Faraday effect optical isolator, Appl. Opt. 3, 544 (1964).
  11. J. A. Haigh, S. Langenfeld, N. J. Lambert, J. J. Baumberg, A. J. Ramsay, A. Nunnenkamp, and A. J. Ferguson, Magneto-optical coupling in whispering-gallery-mode resonators, Phys. Rev. A 92, 063845 (2015).
  12. C.-Z. Chai, H.-Q. Zhao, H. X. Tang, G.-C. Guo, C.-L. Zou, and C.-H. Dong, Non-reciprocity in high-Q ferromagnetic microspheres via photonic spin–orbit coupling, Laser Photon. Rev. 14, 1900252 (2020).
  13. Z. Yu and S. Fan, Complete optical isolation created by indirect interband photonic transitions, Nat. Photon. 3, 91 (2009).
  14. D.-W. Wang, H.-T. Zhou, M.-J. Guo, J.-X. Zhang, J. Evers, and S.-Y. Zhu, Optical diode made from a moving photonic crystal, Phys. Rev. Lett. 110, 093901 (2013).
  15. R. Fleury, D. L. Sounas, C. F. Sieck, M. R. Haberman, and A. Alù, Sound isolation and giant linear nonreciprocity in a compact acoustic circulator, Science 343, 516 (2014).
  16. F. Nazari, N. Bender, H. Ramezani, M. Moravvej-Farshi, D. N. Christodoulides, and T. Kottos, Optical isolation via pt-symmetric nonlinear Fano resonances, Opt. Express 22, 9574 (2014).
  17. A. R. Hamann, C. Müller, M. Jerger, M. Zanner, J. Combes, M. Pletyukhov, M. Weides, T. M. Stace, and A. Fedorov, Nonreciprocity realized with quantum nonlinearity, Phys. Rev. Lett. 121, 123601 (2018).
  18. L. Fan, J. Wang, L. T. Varghese, H. Shen, B. Niu, Y. Xuan, A. M. Weiner, and M. Qi, An all-silicon passive optical diode, Science 335, 447 (2012).
  19. X.-W. Xu and Y. Li, Optical nonreciprocity and optomechanical circulator in three-mode optomechanical systems, Phys. Rev. A 91, 053854 (2015).
  20. X.-B. Yan, H.-L. Lu, F. Gao, and L. Yang, Perfect optical nonreciprocity in a double-cavity optomechanical system, Front. Phys. 14, 52601 (2019).
  21. X.-W. Xu, L. N. Song, Q. Zheng, Z. H. Wang, and Y. Li, Optomechanically induced nonreciprocity in a three-mode optomechanical system, Phys. Rev. A 98, 063845 (2018).
  22. Z. Shen, Y.-L. Zhang, Y. Chen, C.-L. Zou, Y.-F. Xiao, X.-B. Zou, F.-W. Sun, G.-C. Guo, and C.-H. Dong, Experimental realization of optomechanically induced non-reciprocity, Nat. Photon. 10, 657 (2016).
  23. Z. Shen, Y.-L. Zhang, Y. Chen, F.-W. Sun, X.-B. Zou, G.-C. Guo, C.-L. Zou, and C.-H. Dong, Reconfigurable optomechanical circulator and directional amplifier, Nat. Commun. 9, 1797 (2018).
  24. Q.-S. Tan, Y.-F. Jiao, Y. Zuo, L. Xu, J.-Q. Liao, and L.-M. Kuang, Reinforcement-learning-assisted nonreciprocal optomechanical gyroscope, Phys. Rev. A 111, 063504 (2025).
  25. B. Zare Rameshti, S. Viola Kusminskiy, J. A. Haigh, K. Usami, D. Lachance-Quirion, Y. Nakamura, C.-M. Hu, H. X. Tang, G. E. Bauer, and Y. M. Blanter, Cavity magnonics, Phys. Rep. 979, 1 (2022).
  26. H. Yuan, Y. Cao, A. Kamra, R. A. Duine, and P. Yan, Quantum magnonics: When magnon spintronics meets quantum information science, Phys. Rep. 965, 1 (2022).
  27. M. Collet, X. De Milly, O. d’Allivy Kelly, V. V. Naletov, R. Bernard, P. Bortolotti, J. Ben Youssef, V. Demidov, S. Demokritov, J. L. Prieto et al., Generation of coherent spin-wave modes in yttrium iron garnet microdiscs by spin–orbit torque, Nat. Commun. 7, 10377 (2016).
  28. H. Y. Yuan and M.-H. Yung, Thermodynamic entanglement of magnonic condensates, Phys. Rev. B 97, 060405 (2018).
  29. T. Morimae, A. Sugita, and A. Shimizu, Macroscopic entanglement of many-magnon states, Phys. Rev. A 71, 032317 (2005).
  30. D. Zhang, X.-M. Wang, T.-F. Li, X.-Q. Luo, W. Wu, F. Nori, and J. You, Cavity quantum electrodynamics with ferromagnetic magnons in a small yttrium-iron-garnet sphere, npj Quantum Inf. 1, 15014 (2015).
  31. L. Chen, Y. Liu, L. Bin, S.-Y. Ye, and Z.-R. Zhong, Simultaneous cooling of the internal and external degrees of freedom of a levitated micromagnet in a cavity magnomechanical system, Phys. Rev. Res. 7, 033157 (2025).
  32. X. Deng, K.-K. Zhang, T. Shui, and W.-X. Yang, Nonreciprocal unconventional magnon blockade via the Sagnac-Fizeau shift in an optomagnonic system, Phys. Rev. A 110, 063711 (2024).
  33. H. Zhang, C. Wang, Q. Bao, Z. Liu, H. Liu, and J.-J. Xiao, Topological mode switch by exceptional point encircling in a cavity magnonic system, Opt. Lett. 50, 4154 (2025).
  34. Y.-P. Wang, G.-Q. Zhang, D. Zhang, X.-Q. Luo, W. Xiong, S.-P. Wang, T.-F. Li, C.-M. Hu, and J. Q. You, Magnon Kerr effect in a strongly coupled cavity-magnon system, Phys. Rev. B 94, 224410 (2016).
  35. G. Zhang, Y. Wang, and J. You, Theory of the magnon Kerr effect in cavity magnonics, Sci. China Math. 62, 987511 (2019).
  36. Y.-P. Wang, G.-Q. Zhang, D. Zhang, T.-F. Li, C.-M. Hu, and J. Q. You, Bistability of cavity magnon polaritons, Phys. Rev. Lett. 120, 057202 (2018).
  37. D. Zhang, X.-Q. Luo, Y.-P. Wang, T.-F. Li, and J. You, Observation of the exceptional point in cavity magnon-polaritons, Nat. Commun. 8, 1368 (2017).
  38. Y. Cao, P. Yan, H. Huebl, S. T. B. Goennenwein, and G. E. W. Bauer, Exchange magnon-polaritons in microwave cavities, Phys. Rev. B 91, 094423 (2015).
  39. L. Bai, M. Harder, P. Hyde, Z. Zhang, C.-M. Hu, Y. P. Chen, and J. Q. Xiao, Cavity mediated manipulation of distant spin currents using a cavity-magnon-polariton, Phys. Rev. Lett. 118, 217201 (2017).
  40. P. Hyde, B. M. Yao, Y. S. Gui, G.-Q. Zhang, J. Q. You, and C.-M. Hu, Direct measurement of foldover in cavity magnon-polariton systems, Phys. Rev. B 98, 174423 (2018).
  41. G.-Q. Zhang and J. Q. You, Higher-order exceptional point in a cavity magnonics system, Phys. Rev. B 99, 054404 (2019).
  42. T.-X. Lu, H. Zhang, Q. Zhang, and H. Jing, Exceptional-point-engineered cavity magnomechanics, Phys. Rev. A 103, 063708 (2021).
  43. Y. Tabuchi, S. Ishino, T. Ishikawa, R. Yamazaki, K. Usami, and Y. Nakamura, Hybridizing ferromagnetic magnons and microwave photons in the quantum limit, Phys. Rev. Lett. 113, 083603 (2014).
  44. Y. Tabuchi, S. Ishino, A. Noguchi, T. Ishikawa, R. Yamazaki, K. Usami, and Y. Nakamura, Coherent coupling between a ferromagnetic magnon and a superconducting qubit, Science 349, 405 (2015).
  45. O. O. Soykal and M. E. Flatté, Strong field interactions between a nanomagnet and a photonic cavity, Phys. Rev. Lett. 104, 077202 (2010).
  46. X. Zhang, C.-L. Zou, L. Jiang, and H. X. Tang, Strongly coupled magnons and cavity microwave photons, Phys. Rev. Lett. 113, 156401 (2014).
  47. J. Bourhill, N. Kostylev, M. Goryachev, D. L. Creedon, and M. E. Tobar, Ultrahigh cooperativity interactions between magnons and resonant photons in a YIG sphere, Phys. Rev. B 93, 144420 (2016).
  48. M. Harder, Y. Yang, B. M. Yao, C. H. Yu, J. W. Rao, Y. S. Gui, R. L. Stamps, and C.-M. Hu, Level attraction due to dissipative magnon-photon coupling, Phys. Rev. Lett. 121, 137203 (2018).
  49. B. Yao, Y. Gui, J. Rao, S. Kaur, X. Chen, W. Lu, Y. Xiao, H. Guo, K.-P. Marzlin, and C.-M. Hu, Cooperative polariton dynamics in feedback-coupled cavities, Nat. Commun. 8, 1437 (2017).
  50. D. Lachance-Quirion, Y. Tabuchi, A. Gloppe, K. Usami, and Y. Nakamura, Hybrid quantum systems based on magnonics, Appl. Phys. Express 12, 070101 (2019).
  51. Q.-K. Wan, H.-L. Shi, and X.-W. Guan, Quantum-enhanced metrology in cavity magnonics, Phys. Rev. B 109, L041301 (2024).
  52. G. Flower, M. Goryachev, J. Bourhill, and M. E. Tobar, Experimental implementations of cavity-magnon systems: From ultra strong coupling to applications in precision measurement, New J. Phys. 21, 095004 (2019).
  53. Q. Cai, J. Liao, B. Shen, G. Guo, and Q. Zhou, Microwave quantum illumination via cavity magnonics, Phys. Rev. A 103, 052419 (2021).
  54. A. Osada, R. Hisatomi, A. Noguchi, Y. Tabuchi, R. Yamazaki, K. Usami, M. Sadgrove, R. Yalla, M. Nomura, and Y. Nakamura, Cavity optomagnonics with spin-orbit coupled photons, Phys. Rev. Lett. 116, 223601 (2016).
  55. J. A. Haigh, A. Nunnenkamp, A. J. Ramsay, and A. J. Ferguson, Triple-resonant Brillouin light scattering in magneto-optical cavities, Phys. Rev. Lett. 117, 133602 (2016).
  56. R. Hisatomi, A. Osada, Y. Tabuchi, T. Ishikawa, A. Noguchi, R. Yamazaki, K. Usami, and Y. Nakamura, Bidirectional conversion between microwave and light via ferromagnetic magnons, Phys. Rev. B 93, 174427 (2016).
  57. X. Zhang, C.-L. Zou, N. Zhu, F. Marquardt, L. Jiang, and H. X. Tang, Magnon dark modes and gradient memory, Nat. Commun. 6, 8914 (2015).
  58. R.-C. Shen, Y.-P. Wang, J. Li, S.-Y. Zhu, G. S. Agarwal, and J. Q. You, Long-time memory and ternary logic gate using a multistable cavity magnonic system, Phys. Rev. Lett. 127, 183202 (2021).
  59. C. Kong, H. Xiong, and Y. Wu, Magnon-induced nonreciprocity based on the magnon Kerr effect, Phys. Rev. Appl. 12, 034001 (2019).
  60. Y.-L. Ren, S.-L. Ma, J.-K. Xie, X.-K. Li, and F.-L. Li, Non-reciprocal optical transmission in cavity optomagnonics, Opt. Express 29, 41399 (2021).
  61. C. Kong, X.-M. Bao, J.-B. Liu, and H. Xiong, Magnon-mediated nonreciprocal microwave transmission based on quantum interference, Opt. Express 29, 25477 (2021).
  62. Y.-P. Wang, J. W. Rao, Y. Yang, P.-C. Xu, Y. S. Gui, B. M. Yao, J. Q. You, and C.-M. Hu, Nonreciprocity and unidirectional invisibility in cavity magnonics, Phys. Rev. Lett. 123, 127202 (2019).
  63. Y. Ming and R.-C. Yang, Nonreciprocal transmission, reflection, and absorption in non-Hermitian cavity magnonics, Results Phys. 64, 107915 (2024).
  64. Y.-J. Xu, L.-H. Zhai, P. Fu, S.-J. Cheng, and G.-Q. Zhang, Nonreciprocal quantum phase transition in cavity magnonics, Phys. Rev. A 110, 043704 (2024).
  65. H. Xie, L.-W. He, C.-G. Liao, Z.-H. Chen, and X.-M. Lin, Generation of robust optical entanglement in cavity optomagnonics, Opt. Express 31, 7994 (2023).
  66. S. Maayani, R. Dahan, Y. Kligerman, E. Moses, A. U. Hassan, H. Jing, F. Nori, D. N. Christodoulides, and T. Carmon, Flying couplers above spinning resonators generate irreversible refraction, Nature (London) 558, 569 (2018).
  67. M. Aspelmeyer, T. J. Kippenberg, and F. Marquardt, Cavity optomechanics, Rev. Mod. Phys. 86, 1391 (2014).
  68. J. Li, S.-Y. Zhu, and G. S. Agarwal, Squeezed states of magnons and phonons in cavity magnomechanics, Phys. Rev. A 99, 021801 (2019).
  69. Q. Guo, J. Cheng, H. Tan, and J. Li, Magnon squeezing by two-tone driving of a qubit in cavity-magnon-qubit systems, Phys. Rev. A 108, 063703 (2023).
  70. M.-S. Ding, L. Zheng, Y. Shi, and Y.-J. Liu, Magnon squeezing enhanced entanglement in a cavity magnomechanical system, J. Opt. Soc. Am. B 39, 2665 (2022).
  71. A.-B. Xia, J. Cheng, D.-L. Tian, C.-J. Han, and Y. P. Wang, Magnon squeezing induced by virtual photons in a magnon-cavity-qubit system, Phys. Rev. A 111, 053707 (2025).
  72. W. Qin, V. Macrì, A. Miranowicz, S. Savasta, and F. Nori, Emission of photon pairs by mechanical stimulation of the squeezed vacuum, Phys. Rev. A 100, 062501 (2019).
  73. Z. Zhang, M. O. Scully, and G. S. Agarwal, Quantum entanglement between two magnon modes via Kerr nonlinearity driven far from equilibrium, Phys. Rev. Res. 1, 023021 (2019).
  74. G. C. Righini, Y. Dumeige, P. Féron, M. Ferrari, G. Nunzi Conti, D. Ristic, and S. Soria, Whispering gallery mode microresonators: Fundamentals and applications, Riv. Nuovo Cimento 34, 435 (2011).
  75. X. Zhang, C.-L. Zou, L. Jiang, and H. X. Tang, Cavity magnomechanics, Sci. Adv. 2, e1501286 (2016).
  76. A. Osada, A. Gloppe, R. Hisatomi, A. Noguchi, R. Yamazaki, M. Nomura, Y. Nakamura, and K. Usami, Brillouin light scattering by magnetic quasivortices in cavity optomagnonics, Phys. Rev. Lett. 120, 133602 (2018).
  77. X. Zhang, N. Zhu, C.-L. Zou, and H. X. Tang, Optomagnonic whispering gallery microresonators, Phys. Rev. Lett. 117, 123605 (2016).
  78. S. Barzanjeh, S. Guha, C. Weedbrook, D. Vitali, J. H. Shapiro, and S. Pirandola, Microwave quantum illumination, Phys. Rev. Lett. 114, 080503 (2015).
  79. J. Yao, C. Lu, X. Fan, D. Xue, G. E. Bridges, and C.-M. Hu, Nonreciprocal control of the speed of light using cavity magnonics, Phys. Rev. Lett. 134, 196904 (2025).
  80. Z.-B. Yang, H. Jin, J.-W. Jin, J.-Y. Liu, H.-Y. Liu, and R.-C. Yang, Bistability of squeezing and entanglement in cavity magnonics, Phys. Rev. Res. 3, 023126 (2021).
  81. J.-X. Wang, Q. Guo, Y. Zhang, G. Li, and T. Zhang, Steady-squeezed-state generation via Kerr nonlinearity in cavity magnonics system, J. Phys. A: Math. Theor. 58, 235302 (2025).
  82. F. H. Mathkoor, S. Singh, R. Ahmed, J.-X. Peng, M. Amazioug, M. Khalid, and A. Sohail, Bipartite entanglement and Gaussian quantum steering in a whispering gallery mode coupled with two magnon modes, Sci. Rep. 15, 13503 (2025).
  83. S. Sharma, Y. M. Blanter, and G. E. W. Bauer, Optical cooling of magnons, Phys. Rev. Lett. 121, 087205 (2018).
  84. J. Chen, X.-G. Fan, W. Xiong, D. Wang, and L. Ye, Nonreciprocal photon-phonon entanglement in Kerr-modified spinning cavity magnomechanics, Phys. Rev. A 109, 043512 (2024).
  85. Q. Zheng, W. Zhong, G. Cheng, and A. Chen, Nonreciprocal microwave-optical entanglement in a magnon-based hybrid system, J. Appl. Phys. 135, 084401 (2024).

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