Skip to main content
Log in

Tripartite entanglement in coupled three-wave interactions

  • Published:
Acta Physica Hungarica B) Quantum Electronics

Abstract

We study the three-mode entanglement properties in a new kind of the coupled nonlinear optical interactions consisting of two parametric down-conversion processes and one up-conversion. Approach, based on partial scaling transformation of the covariant matrix, is used to reveal tripartite entanglement. It is established that the three-mode field is in the true entangled state.

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.

Similar content being viewed by others

References

  1. The Physics of Quantum, Information, eds. D. Bouwmeester, A. Ekert and A. Zeilinger, Springer, Heidelberg, 2000.

    MATH  Google Scholar 

  2. S.L. Braunstein and P. van Loock, Rev. Mod. Phys. 77 (2005) 513.

    Article  ADS  Google Scholar 

  3. A.V. Rodionov and A.S. Chirkin, Opt. Spectroscop. 96 (2004) 721 [Opt. Spektroskop. 96 (2004) 790].

    Article  ADS  Google Scholar 

  4. A.V. Rodionov and A.S. Chirkin, JETP Lett. 79 (2004) 253 [Pisma ZhETF 29 (2004) 311].

    Article  ADS  Google Scholar 

  5. A. Allevi, A. Andreoni, M. Bondani, A. Ferraro, M.G. Paris and E. Puddu, J. Mod. Opt. 51 (2004) 1031.

    Article  ADS  Google Scholar 

  6. A. Ferraro, M.G. Paris, M. Bondani, A. Allevi, E. Puddu and A. Andreoni, J. Opt. Soc. Amer. B 21 (2004) 1241.

    Article  ADS  Google Scholar 

  7. M. Bondani, A. Allevi, E. Gevinti, A. Aglianti and A. Andreoni, quant-ph/0604002 (2006).

  8. A.S. Bradly, M.K. Olsen, O. Pfister and R.C. Pooser, Phys. Rev. A. 72 (2005) 053805.

    Article  ADS  Google Scholar 

  9. O.V. Man’ko, V.I. Man’ko, G. Marmo, A. Shaji, E.C.G. Sudarshan and F. Zaccaria, Phys. Lett. A 339 (2005) 194.

    Article  ADS  Google Scholar 

  10. A.A. Novikov and A.S. Chirkin, to be published.

  11. Yong-yuan Zhu and Nai-ben Ming, Opt. Quant. Electron. 31 (1999) 1093.

    Article  Google Scholar 

  12. T. Kartağlu, Z.G. Figen and O. Aytür, J. Opt. Soc. Am. B 20 (2003) 343.

    Article  ADS  Google Scholar 

  13. P. van Loock and A. Furusawa, Phys. Rev. A. 67 (2003) 052315.

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Anatoly S. Chirkin.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Chirkin, A.S., Saigin, M.Y. Tripartite entanglement in coupled three-wave interactions. Acta Phys. Hung. B 26, 63–70 (2006). https://doi.org/10.1556/APH.26.2006.1-2.9

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1556/APH.26.2006.1-2.9

Keywords

PACS

Navigation