Skip to main content
SpringerLink
Log in

The theory of single photon scattering by a three-level atom in a dissipative coupled cavity array

  • Regular Article
  • Published:
The European Physical Journal D Aims and scope Submit manuscript

Abstract

A microscopic model is developed in order to analyse the effects of dissipations on single-photon transport in a coupled cavity array where one of the cavities is coupled to a three-level atom and both cavities and the three-level atom are coupled to an external environment. By employing the quasi-boson approach, the single-photon transmission and reflection amplitudes are found exactly for the Ξ-type, V-type and Λ-type three-level atoms. We focus on the dissipation properties in the case of the Λ-type system. Comparing the dissipative case with the nodissipative one, it can be found that the dissipations of the cavities and the Λ-type three-level atom significantly affect the transmission amplitude of single-photon transport. Whether the atom is in tune with the resonant frequency of the cavity or not, incomplete reflection is mostly caused by atom dissipation near the middle dip of the single-photon transport spectrum, while reduced transmission appears to be mainly controlled by cavity dissipation. Dissipations broaden the line width of the single photon transport spectrum.

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. M.J. Hartmann, F.G.S.L. Brandão, M.B. Plenio, Laser Photon. Rev. 2, 527 (2008)

    Article  Google Scholar 

  2. M.X. Huo, Y. Li, Z. Song, C.P. Sun, Phys. Rev. A 77, 022103 (2008)

    Article  ADS  Google Scholar 

  3. S. Bose, D.G. Angelakis, D. Burgarth, J. Mod. Opt. 54, 2307 (2007)

    Article  ADS  MATH  Google Scholar 

  4. D.G. Angelakis, M.F. Santos, V. Yannopapas, A. Ekert, Phys. Lett. A 362, 377 (2007)

    Article  ADS  Google Scholar 

  5. J.T. Shen, H.S. Fan, Phys. Rev. A 79, 023837 (2009)

    Article  ADS  Google Scholar 

  6. L. Zhou, Z.R. Gong, Y.X. Liu, C.P. Sun, Phys. Rev. Lett. 101, 100501 (2008)

    Article  ADS  Google Scholar 

  7. L. Zhou, S. Yang, Y.X. Liu, C.P. Sun, F. Nori, Phys. Rev. A 80, 062109 (2009)

    Article  ADS  Google Scholar 

  8. J.Q. Liao, Z.R. Gong, L. Zhou, Y.X. Liu, C.P. Sun, F. Nori, Phys. Rev. A 81, 042304 (2010)

    Article  ADS  Google Scholar 

  9. J.H. Lang, Chin. Phys. Lett. 28, 104210 (2010)

    ADS  Google Scholar 

  10. Z.R. Gong, H. Ian, L. Zhou, C.P. Sun, Phys. Rev. A 78, 053806 (2008)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  12. M.T. Cheng, Y.Q. Luo, Y.Y. Song, G.X. Zhao, Commun. Theor. Phys. 55, 501 (2011)

    Article  ADS  MATH  Google Scholar 

  13. S.I. Schmid, J. Evers, Phys. Rev. A 84, 053822 (2011)

    Article  ADS  Google Scholar 

  14. D. Witthaut, A.S. Sørensen, New J. Phys. 12, 043052 (2010)

    Article  ADS  Google Scholar 

  15. L. Tan, L. Hai, J. Phys. B: At. Mol. Opt. Phys. 45, 035504 (2012)

    Article  ADS  Google Scholar 

  16. K. Liu, L. Tan, C.H. Lv, W.M. Liu, Phys. Rev. A 83, 063840 (2011)

    Article  ADS  Google Scholar 

  17. R.J. Glauber, M. Lewenstein, Phys. Rev. A 43, 467 (1991)

    Article  ADS  Google Scholar 

  18. I. Carusotto, D. Gerace, H.E. Türeci, S. De Liberato, C. Ciuti, A. Imamoglu, Phys. Rev. Lett. 103, 033601 (2009)

    Article  ADS  Google Scholar 

  19. M.J. Hartmann, Phys. Rev. Lett. 104, 113601 (2010)

    Article  ADS  Google Scholar 

  20. A. Tomadin, V. Giovannetti, R. Fazio, D. Gerace, I. Carusotto, H.E. Türeci, A. Imamoglu, Phys. Rev. A 81, 061801 (2010)

    Article  ADS  Google Scholar 

  21. J. Lu, L. Zhou, H.C. Fu, L.M. Kuang, Phys. Rev. A 81, 062111 (2010)

    Article  ADS  Google Scholar 

  22. Y. Xu, Y. Li, R.K. Lee, A. Yariv, Phys. Rev. E 62, 7389 (2000)

    Article  ADS  Google Scholar 

  23. J.Q. Liao, J.F. Huang, Y.X. Liu, L.M. Kuang, C.P. Sun, Phys. Rev. A 80, 014301 (2009)

    Article  ADS  Google Scholar 

  24. M. Notomi, E. Kuramochi, T. Tanabe, Nat. Photon. 2, 741 (2008)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Theoretical Physics, Lanzhou University, Lanzhou, 730000, P.R. China

    Lian Hai, Lei Tan, Jin-Shan Feng, Jia Bao, Chun-Hai Lv & Bin Wang

  2. Key Laboratory for Magnetism and Magnetic materials of the Ministry of Education, Lanzhou University, Lanzhou, 730000, P.R. China

    Lei Tan

Authors
  1. Lian Hai
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Lei Tan
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Jin-Shan Feng
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Jia Bao
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Chun-Hai Lv
    View author publications

    You can also search for this author in PubMed Google Scholar

  6. Bin Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Lei Tan.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Hai, L., Tan, L., Feng, JS. et al. The theory of single photon scattering by a three-level atom in a dissipative coupled cavity array. Eur. Phys. J. D 67, 173 (2013). https://doi.org/10.1140/epjd/e2013-30675-7

Download citation

  • Received:

  • Revised:

  • Published:

  • DOI: https://doi.org/10.1140/epjd/e2013-30675-7

Keywords

Search

Navigation