Skip to main content
SpringerLink
Log in

Entanglement of Two Atoms in Insulator and Superfluid States

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

Abstract

We study two coupled cavities, each of which contains two two-level atoms. We identify the regions of Mott-insulator and superfluid states. Ground-state entanglement of two atoms in one cavity has been investigated. The result show that quantum entanglement of two atoms within one cavity can also characterize quantum phase transition.

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. Fisher, M.P.A., Weichman, P.B., Grinstein, G., Fisher, D.S.: Phys. Rev. B 40, 546 (1989)

    Article  ADS  Google Scholar 

  2. Greiner, M., Mandel, O., Hänsch, T.W., Bloch, I.: Nature (London) 415, 39 (2002)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  4. Armani, D.K., Kippenberg, T.J., Spillane, S.M., Vahala, K.J.: Nature (London) 421, 925 (2003)

    Article  ADS  Google Scholar 

  5. Bayindir, M., Temelkuran, B., Ozbay, E.: Phys. Rev. Lett. 84, 2140 (2000)

    Article  ADS  Google Scholar 

  6. Iskin, M., Freericks, J.K.: Phys. Rev. A 79, 053634 (2009)

    Article  ADS  Google Scholar 

  7. Hartmann, M.J., Brandao, F.G., Plenio, M.B.: Nat. Phys. 2, 849 (2006)

    Article  Google Scholar 

  8. Hartmann, M.J., Plenio, M.B.: Phys. Rev. Lett. 99, 103601 (2007)

    Article  ADS  Google Scholar 

  9. Zhou, L., Liu, Z.J., Yan, W.B., Mu, Q.X.: Chin. Phys. B (2010) (submitted)

  10. Irish, E.K., Ogden, C.D., Kim, M.S.: Phys. Rev. A 77, 033801 (2008)

    Article  ADS  Google Scholar 

  11. Irish, E.K.: Phys. Rev. A 80, 043825 (2009)

    Article  ADS  Google Scholar 

  12. Rossini, D., Fazio, R.: Phys. Rev. Lett. 99, 186401 (2007)

    Article  ADS  Google Scholar 

  13. Lipkin, H.J., Meshkov, N., Glick, A.J.: Validity of many-body approximation methods for a solvable model. Nucl. Phys. 62 188, 199, 211 (1965).

    Article  MathSciNet  Google Scholar 

  14. Osborne, T.J., Nielsen, M.A.: Phys. Rev. A 66, 032110 (2002)

    Article  ADS  MathSciNet  Google Scholar 

  15. Osterloh, A., Amico, L., Falci, G., Fazio, R.: Nature (London) 416, 608 (2002)

    Article  ADS  Google Scholar 

  16. Vidal, G., Latorre, J.I., Rico, E., Kitaev, A.: Phys. Rev. Lett. 90, 227902 (2003)

    Article  ADS  Google Scholar 

  17. Wu, L.A., Sarandy, M.S., Lider, D.A.: Phys. Rev. Lett. 90, 250404 (2004)

    Article  Google Scholar 

  18. Chen, Y., Wang, Z.D., Zhang, F.C.: Phys. Rev. B 73, 224414 (2006)

    Article  ADS  Google Scholar 

  19. Yang, M.F.: Phys. Rev. A 71, 030302 (2005)

    Article  ADS  Google Scholar 

  20. Gu, S.J., Deng, S.S., Li, Y.Q., Lin, H.Q.: Phys. Rev. Lett. 93, 086402 (2004)

    Article  ADS  Google Scholar 

  21. Verstraete, F., Popp, M., Cirac, J.: Phys. Rev. Lett. 94, 027901 (2006)

    Google Scholar 

  22. Brukner, C., Vedral, V., Zeilinger, A.: Phys. Rev. A 73, 012110 (2006)

    Article  ADS  Google Scholar 

  23. Bennett, C.H., Bernstein, H.J., Popescu, S., Schumacher, B.: Phys. Rev. A 53, 2046 (1996)

    Article  ADS  Google Scholar 

  24. Wootters, W.: Phys. Rev. Lett. 80, 2245 (1998)

    Article  ADS  Google Scholar 

  25. Aoki, T., et al.: Nature 443, 671 (2006)

    Article  ADS  Google Scholar 

  26. Spillane, S.M., et al.: Phys. Rev. A 71, 013817 (2005)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. School of Physics and Optoelectronic Engineering, Dalian University of Technology, Dalian, Liaoning, 116024, P.R. China

    Zhong-Ju Liu, Wei-Bin Yan & Ling Zhou

Authors
  1. Zhong-Ju Liu
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Wei-Bin Yan
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Ling Zhou
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Ling Zhou.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Liu, ZJ., Yan, WB. & Zhou, L. Entanglement of Two Atoms in Insulator and Superfluid States. Int J Theor Phys 50, 2552–2559 (2011). https://doi.org/10.1007/s10773-011-0746-6

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-011-0746-6

Keywords

Search

Navigation