Skip to main content
Log in

Single-Photon Scattering Grating in a Waveguide-Cavity System

  • Published:
International Journal of Theoretical Physics Aims and scope Submit manuscript

Abstract

We investigate single-photon scattering grating in a one-dimensional waveguide coupled to a cavity embedded with a driven Λ-type three-level atom. The single-photon reflection amplitude and transmission amplitude in the waveguide are obtained via a real-space approach, respectively. By spatially modulating a classical control field to drive the three-level emitter, alternating regions of high reflection and absorption as well as high transmission and absorption of the single photon are generated in both directions of the waveguide, which acts as a kind of scattering grating. The proposed scheme may have the potential for the design of chip-integrated grating.

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

Access this article

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

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5

Similar content being viewed by others

References

  1. Ling, H.Y., Li, Y.Q., Xiao, M.: Phys. Rev. A 57, 1338 (1998)

    Article  ADS  Google Scholar 

  2. Wen, J., Du, S., Chen, H., Xiao, M.: Appl. Phys. Lett. 98, 081108 (2011)

    Article  ADS  Google Scholar 

  3. Mitsunaga, M., Imoto, N.: Phys. Rev. A 59, 4773 (1999)

    Article  ADS  Google Scholar 

  4. André, A., Lukin, M.D.: Phys. Rev. Lett. 89, 143602 (2002)

    Article  ADS  Google Scholar 

  5. Bajcsy, M., Zibrov, A.S., Lukin, M.D.: Nature (London) 426, 638 (2003)

    Article  ADS  Google Scholar 

  6. Brown, A.W., Xiao, M.: Opt. Lett. 30, 699 (2005)

    Article  ADS  Google Scholar 

  7. Gao, J.W., Wu, J.H., Ba, N., Cui, C.L., Tian, X.X.: Phys. Rev. A 81, 013804 (2010)

    Article  ADS  Google Scholar 

  8. Li, J.H., Yu, R.: Opt. Express 19, 20991 (2011)

    Article  ADS  Google Scholar 

  9. Akimov, A.V., Mukherjee, A., Yu, C.L., Chang, D.E., Zibrov, A.S., Hemmer, P.R., Park, H., Lukin, M.D.: Nature (London) 450, 402 (2007)

    Article  ADS  Google Scholar 

  10. Chang, D.E., Sørensen, A.S., Demler, E.A., Lukin, M.D.: Nat. Phys. 3, 807 (2007)

    Article  Google Scholar 

  11. Chang, D.E., Sørensen, A.S., Hemmer, P.R., Lukin, M.D.: Phys. Rev. B 76, 035420 (2007)

    Article  ADS  Google Scholar 

  12. Wallraff, A., Schuster, D.I., Blais, A., Frunzio, L., Huang, R.S., Majer, J., Kumar, S., Girvin, S.M., Schoelkopf, R.J.: Nature (London) 431, 162 (2004)

    Article  ADS  Google Scholar 

  13. Yoshie, T., Scherer, A., Hendrickson, J., Khitrova, G., Gibbs, H.M., Rupper, G., Ell, C., Shchekin, O.B., Deppe, D.G.: Nature (London) 432, 200 (2004)

    Article  ADS  Google Scholar 

  14. Birnbaum, K.M., Boca, A., Miller, R., Boozer, A.D., Northup, T.E., Kimble, H.J.: Nature (London) 436, 87 (2005)

    Article  ADS  Google Scholar 

  15. Wei, L.F., Liu, Y.X., Sun, C.P., Nori, F.: Phys. Rev. Lett. 97, 237201 (2006)

    Article  ADS  Google Scholar 

  16. Zhou, L., Gong, Z.R., Li, Y., Sun, C.P., Nori, F.: Phys. Rev. Lett 101, 100501 (2008)

    Article  ADS  Google Scholar 

  17. Shen, J.T., Fan, S.: Phys. Rev. Lett. 95, 213001 (2005)

    Article  ADS  Google Scholar 

  18. Shen, J.T., Povinelli, M.L., Sandhu, S., Fan, S.: Phys. Rev. B 75, 035320 (2007)

    Article  ADS  Google Scholar 

  19. Hughes, S., Kamada, H.: Phys. Rev. B 70, 195313 (2004)

    Article  ADS  Google Scholar 

  20. Shen, J.T., Fan, S.: Phys. Rev. A 79, 023837 (2009)

    Article  ADS  Google Scholar 

  21. Shen, J.T., Fan, S.: Phys. Rev. A 79, 023838 (2009)

    Article  ADS  Google Scholar 

  22. Zang, X., Jiang, C.J.: Phys. B 43, 065505 (2010)

    Article  Google Scholar 

  23. Cheng, M.T., Luo, Y.Q., Song, Y.Y., Zhao, G.X.: Opt. Commun. 283, 3721 (2010)

    Article  ADS  Google Scholar 

  24. Yan, C.H., Jia, W.Z., Wei, L.F.: Phys. Rev. A 89, 033819 (2014)

    Article  ADS  Google Scholar 

  25. Lang, J.H.: Chin. Phys. Lett. 28, 104210 (2011)

    Article  ADS  Google Scholar 

  26. Gu, L.M.: Chin. Phys. Lett. 29, 104206 (2012)

    Article  ADS  Google Scholar 

  27. Cheng, M.T., Song, Y.Y., Yu, L.B.: Chin. Phys. Lett. 29, 054211 (2012)

    Article  ADS  Google Scholar 

  28. Kim, N.C., Ko, M.C.: Plasmonics 10, 605 (2015)

    Article  Google Scholar 

  29. Waks, E., Vuckovic, J.: Phys. Rev. Lett. 96, 153601 (2006)

    Article  ADS  Google Scholar 

  30. Vahala, K.J.: Nature (London) 424, 839 (2003)

    Article  ADS  Google Scholar 

  31. Harris, S.E.: Phys. Today 50(7), 36 (1997)

    Article  Google Scholar 

Download references

Acknowledgments

This work was supported by the National Natural Science Foundation of China (Grant Nos. 11247032, 11365011, and 11447118), by the Natural Science Foundation of Jiangxi (Grant Nos. 20151BAB202012 and 20151BAB212004), and by the Scientific Research Foundation of the Jiangxi Provincial Education Department (Grant No. GJJ14437), and by the Scientific Research Foundation of Jiangxi University of Science and Technology (Grant No. NSFJ2014-K18).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Jin-Song Huang.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Huang, JS., Li, YL., Xu, ZH. et al. Single-Photon Scattering Grating in a Waveguide-Cavity System. Int J Theor Phys 55, 3934–3942 (2016). https://doi.org/10.1007/s10773-016-3023-x

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-016-3023-x

Keywords

Navigation