Skip to main content
SpringerLink
Log in

Theory of the magnon Kerr effect in cavity magnonics

  • Article
  • Published:
Science China Physics, Mechanics & Astronomy Aims and scope Submit manuscript

Abstract

We develop a theory for the magnon Kerr effect in a cavity magnonics system, consisting of magnons in a small yttrium iron garnet (YIG) sphere strongly coupled to cavity photons, and use it to study the bistability in this hybrid system. To have a complete picture of the bistability phenomenon, we analyze two different cases in driving the cavity magnonics system, i.e., directly pumping the YIG sphere and the cavity, respectively. In both cases, the magnon frequency shifts due to the Kerr effect exhibit a similar bistable behavior but the corresponding critical powers are different. Moreover, we show how the bistability of the system can be demonstrated using the transmission spectrum of the cavity. Our results are valid in a wide parameter regime and generalize the theory of bistability in a cavity magnonics system.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Z. L. Xiang, S. Ashhab, J. Q. You, and F. Nori, Rev. Mod. Phys. 85, 623 (2013), arXiv: 1204.2137.

    ADS  Google Scholar 

  2. G. Kurizki, P. Bertet, Y. Kubo, K. Molmer, D. Petrosyan, P. Rabl, and J. Schmiedmayer, Proc. Natl. Acad. Sci. USA 112, 3866 (2015), arXiv: 1504.00158.

    ADS  Google Scholar 

  3. O. Soykal, and M. E. Flatte, Phys. Rev. Lett. 104, 077202 (2010), arXiv: 0907.3926.

    ADS  Google Scholar 

  4. O. Soykal, and M. E. Flatte, Phys. Rev. B 82, 104413 (2010), arXiv: 1005.3068.

    ADS  Google Scholar 

  5. B. Zare Rameshti, Y. Cao, and G. E. W. Bauer, Phys. Rev. B 91, 214430 (2015), arXiv: 1503.02419.

    ADS  Google Scholar 

  6. H. Huebl, C. W. Zollitsch, J. Lotze, F. Hocke, M. Greifenstein, A. Marx, R. Gross, and S. T. B. Goennenwein, Phys. Rev. Lett. 111, 127003 (2013), arXiv: 1207.6039.

    ADS  Google Scholar 

  7. Y. Tabuchi, S. Ishino, T. Ishikawa, R. Yamazaki, K. Usami, and Y. Nakamura, Phys. Rev. Lett. 113, 083603 (2014), arXiv: 1405.1913.

    ADS  Google Scholar 

  8. X. Zhang, C. L. Zou, L. Jiang, and H. X. Tang, Phys. Rev. Lett. 113, 156401 (2014), arXiv: 1405.7062.

    ADS  Google Scholar 

  9. M. Goryachev, W. G. Farr, D. L. Creedon, Y. Fan, M. Kostylev, and M. E. Tobar, Phys. Rev. Appl. 2, 054002 (2014), arXiv: 1408.2905.

    ADS  Google Scholar 

  10. D. Zhang, X. M. Wang, T. F. Li, X. Q. Luo, W. Wu, F. Nori, and J. You, npj Quantum Inf. 1, 15014 (2015), arXiv: 1512.00983.

    ADS  Google Scholar 

  11. M. Harder, L. H. Bai, C. Match, J. Sirker, and C. M. Hu, Sci. China-Phys. Mech. Astron. 59, 117511 (2016), arXiv: 1601.06049.

    Google Scholar 

  12. M. W. Doherty, F. Dolde, H. Fedder, F. Jelezko, J. Wrachtrup, N. B. Manson, and L. C. L. Hollenberg, Phys. Rev. B 85, 205203 (2012), arXiv: 1111.5882.

    ADS  Google Scholar 

  13. V. Cherepanov, I. Kolokolov, and V. L’vov, Phys. Rep. 229, 81 (1993).

    ADS  Google Scholar 

  14. Y. Cao, P. Yan, H. Huebl, S. T. B. Goennenwein, and G. E. W. Bauer, Phys. Rev. B 91, 094423 (2015), arXiv: 1412.5809.

    ADS  Google Scholar 

  15. B. M. Yao, Y. S. Gui, Y. Xiao, H. Guo, X. S. Chen, W. Lu, C. L. Chien, and C. M. Hu, Phys. Rev. B 92, 184407 (2015), arXiv: 1509.05804.

    ADS  Google Scholar 

  16. P. Hyde, L. Bai, M. Harder, C. Dyck, and C. M. Hu, Phys. Rev. B 95, 094416 (2017), arXiv: 1703.00074.

    ADS  Google Scholar 

  17. Y. P. Wang, G. Q. Zhang, D. Zhang, T. F. Li, C. M. Hu, and J. Q. You, Phys. Rev. Lett. 120, 057202 (2018), arXiv: 1707.06509.

    ADS  Google Scholar 

  18. 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, Phys. Rev. B 94, 224410 (2016), arXiv: 1609.07891.

    ADS  Google Scholar 

  19. Z. X. Liu, B. Wang, H. Xiong, and Y. Wu, Opt. Lett. 43, 3698 (2018), arXiv: 1806.08289.

    ADS  Google Scholar 

  20. R. Hisatomi, A. Osada, Y. Tabuchi, T. Ishikawa, A. Noguchi, R. Yamazaki, K. Usami, and Y. Nakamura, Phys. Rev. B 93, 174427 (2016), arXiv: 1601.03908.

    ADS  Google Scholar 

  21. J. Bourhill, N. Kostylev, M. Goryachev, D. L. Creedon, and M. E. Tobar, Phys. Rev. B 93, 144420 (2016), arXiv: 1512.07773.

    ADS  Google Scholar 

  22. N. Kostylev, M. Goryachev, and M. E. Tobar, Appl. Phys. Lett. 108, 062402 (2016), arXiv: 1508.04967.

    ADS  Google Scholar 

  23. X. Zhang, C. L. Zou, N. Zhu, F. Marquardt, L. Jiang, and H. X. Tang, Nat. Commun. 6, 8914 (2015), arXiv: 1507.02791.

    ADS  Google Scholar 

  24. L. Bai, M. Harder, Y. P. Chen, X. Fan, J. Q. Xiao, and C. M. Hu, Phys. Rev. Lett. 114, 227201 (2015), arXiv: 1504.01335.

    ADS  Google Scholar 

  25. L. Bai, M. Harder, P. Hyde, Z. Zhang, C. M. Hu, Y. P. Chen, and J. Q. Xiao, Phys. Rev. Lett. 118, 217201 (2017), arXiv: 1706.00347.

    ADS  Google Scholar 

  26. C. Braggio, G. Carugno, M. Guarise, A. Ortolan, and G. Ruoso, Phys. Rev. Lett. 118, 107205 (2017), arXiv: 1609.08147.

    ADS  Google Scholar 

  27. V. L. Grigoryan, K. Shen, and K. Xia, Phys. Rev. B 98, 024406 (2018), arXiv: 1702.07110.

    ADS  Google Scholar 

  28. J. Chen, C. Liu, T. Liu, Y. Xiao, K. Xia, G. E. W. Bauer, M. Wu, and H. Yu, Phys. Rev. Lett. 120, 217202 (2018).

    ADS  Google Scholar 

  29. B. Yao, Y. S. Gui, J. W. Rao, S. Kaur, X. S. Chen, W. Lu, Y. Xiao, H. Guo, K. P. Marzlin, and C. M. Hu, Nat. Commun. 8, 1437 (2017).

    ADS  Google Scholar 

  30. M. Harder, L. Bai, P. Hyde, and C. M. Hu, Phys. Rev. B 95, 214411 (2017), arXiv: 1702.04797.

    ADS  Google Scholar 

  31. D. Zhang, X. Q. Luo, Y. P. Wang, T. F. Li, and J. Q. You, Nat. Commun. 8, 1368 (2017), arXiv: 1711.04176.

    ADS  Google Scholar 

  32. B. Wang, Z. X. Liu, C. Kong, H. Xiong, and Y. Wu, Opt. Express 26, 20248 (2018).

    ADS  Google Scholar 

  33. Y. Tabuchi, S. Ishino, A. Noguchi, T. Ishikawa, R. Yamazaki, K. Usami, and Y. Nakamura, Science 349, 405 (2015), arXiv: 1410.3781.

    ADS  MathSciNet  Google Scholar 

  34. D. Lachance-Quirion, Y. Tabuchi, S. Ishino, A. Noguchi, T. Ishikawa, R. Yamazaki, and Y. Nakamura, Sci. Adv. 3, e1603150 (2017).

    ADS  Google Scholar 

  35. X. Zhang, C. L. Zou, L. Jiang, and H. X. Tang, Sci. Adv. 2, e1501286 (2016), arXiv: 1511.03680.

    ADS  Google Scholar 

  36. J. A. Haigh, S. Langenfeld, N. J. Lambert, J. J. Baumberg, A. J. Ramsay, A. Nunnenkamp, and A. J. Ferguson, Phys. Rev. A 92, 063845 (2015), arXiv: 1510.06661.

    ADS  Google Scholar 

  37. A. Osada, R. Hisatomi, A. Noguchi, Y. Tabuchi, R. Yamazaki, K. Usami, M. Sadgrove, R. Yalla, M. Nomura, and Y. Nakamura, Phys. Rev. Lett. 116, 223601 (2016), arXiv: 1510.01837.

    ADS  Google Scholar 

  38. X. Zhang, N. Zhu, C. L. Zou, and H. X. Tang, Phys. Rev. Lett. 117, 123605 (2016), arXiv: 1510.03545.

    ADS  Google Scholar 

  39. J. A. Haigh, A. Nunnenkamp, A. J. Ramsay, and A. J. Ferguson, Phys. Rev. Lett. 117, 133602 (2016), arXiv: 1607.02985.

    ADS  Google Scholar 

  40. S. Sharma, Y. M. Blanter, and G. E. W. Bauer, Phys. Rev. Lett. 121, 087205 (2018), arXiv: 1804.02683.

    ADS  Google Scholar 

  41. A. Osada, A. Gloppe, R. Hisatomi, A. Noguchi, R. Yamazaki, M. Nomura, Y. Nakamura, and K. Usami, Phys. Rev. Lett. 120, 133602 (2018), arXiv: 1711.09319.

    ADS  Google Scholar 

  42. Y. P. Gao, C. Cao, T. J. Wang, Y. Zhang, and C. Wang, Phys. Rev. A 96, 023826 (2017).

    ADS  Google Scholar 

  43. J. A. Haigh, N. J. Lambert, A. C. Doherty, and A. J. Ferguson, Phys. Rev. B 91, 104410 (2015), arXiv: 1506.05631.

    ADS  Google Scholar 

  44. A. G. Gurevich, and G. A. Melkov, Magnetization Oscillations and Waves (CRC Press, Boca Raton, 1996), pp. 37–53.

    Google Scholar 

  45. D. D. Stancil, and A. Prabhakar, Spin Waves (Springer, Berlin, 2009), pp. 84–90.

    MATH  Google Scholar 

  46. V. Kubytskyi, S. A. Biehs, and P. Ben-Abdallah, Phys. Rev. Lett. 113, 074301 (2014), arXiv: 1404.4793.

    ADS  Google Scholar 

  47. E. Kuramochi, K. Nozaki, A. Shinya, K. Takeda, T. Sato, S. Matsuo, H. Taniyama, H. Sumikura, and M. Notomi, Nat. Photon. 8, 474 (2014).

    ADS  Google Scholar 

  48. T. K. Paraiso, M. Wouters, Y. Leger, F. Morier-Genoud, and B. Deveaud-Pledran, Nat. Mater. 9, 655 (2010).

    ADS  Google Scholar 

  49. O. R. Bilal, A. Foehr, and C. Daraio, Proc. Natl. Acad. Sci. USA 114, 4603 (2017).

    ADS  Google Scholar 

  50. F. Letscher, O. Thomas, T. Niederprüm, M. Fleischhauer, and H. Ott, Phys. Rev. X 7, 021020 (2017).

    Google Scholar 

  51. S. R. K. Rodriguez, W. Casteels, F. Storme, N. Carlon Zambon, I. Sagnes, L. Le Gratiet, E. Galopin, A. Lematre, A. Amo, C. Ciuti, and J. Bloch, Phys. Rev. Lett. 118, 247402 (2017), arXiv: 1608.00260.

    ADS  Google Scholar 

  52. S. M. Rezende, and F. M. de Aguiar, Proc. IEEE 78, 893 (1990).

    Google Scholar 

  53. R. M. White, Quantum Theory of Magnetism: Magnetic Properties of Materials, 3rd Ed. (Springer, Berlin, 2007), pp. 240–250.

    Google Scholar 

  54. T. Holstein, and H. Primakoff, Phys. Rev. 58, 1098 (1940).

    ADS  Google Scholar 

  55. D. F. Walls, and G. J. Milburn, Quantum Optics (Springer, Berlin, 1994), pp. 121–127.

    MATH  Google Scholar 

  56. S. Blundell, Magnetism in Condensed Matter (Oxford University Press, Oxford, 2001), pp. 214–218.

    Google Scholar 

  57. C. Kittel, Phys. Rev. 73, 155 (1948).

    ADS  Google Scholar 

  58. J. R. Macdonald, Proc. Phys. Soc. A 64, 968 (1951).

    ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Quantum Physics and Quantum Information Division, Beijing Computational Science Research Center, Beijing, 100193, China

    GuoQiang Zhang

  2. Interdisciplinary Center of Quantum Information and Zhejiang Province Key Laboratory of Quantum Technology and Device, Department of Physics and State Key Laboratory of Modern Optical Instrumentation, Zhejiang University, Hangzhou, 310027, China

    GuoQiang Zhang, YiPu Wang & JianQiang You

Authors
  1. GuoQiang Zhang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. YiPu Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. JianQiang You
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to JianQiang You.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Zhang, G., Wang, Y. & You, J. Theory of the magnon Kerr effect in cavity magnonics. Sci. China Phys. Mech. Astron. 62, 987511 (2019). https://doi.org/10.1007/s11433-018-9344-8

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s11433-018-9344-8

Keywords

Search

Navigation