Skip to main content
SpringerLink
Log in

Correlation between entanglement and spin density in nitrogen-vacancy center of diamond

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

Abstract

Many-body wavefunctions were utilized to calculate von Neumann’s entropy as an entanglement measurement for neutral and negatively charged nitrogen vacancy (NV) centers in diamond. A generalized Hubbard Hamiltonian which considers e-e interaction terms completely was used to calculate many-electron wavefunctions of the ground and excited states. Correlation between entanglement and spin density distributed on neighboring atoms of NV is presented. The behavior of spin density and entanglement under relaxations of neighboring atoms is the same for all investigated ground and excited states. The results suggest that the spin density may be used to quantify the entanglemnt and vice versa.

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.R. Dowling, A.C. Doherty, H.M. Wiseman, Phys. Rev. A 73, 052323 (2006)

    Article  ADS  Google Scholar 

  2. J.R. Gittings, A.J. Fisher, Phys. Rev. A 66, 032305 (2002)

    Article  ADS  Google Scholar 

  3. R.S. Said, J. Twamley, Phys. Rev. A 80, 032303 (2009)

    Article  ADS  Google Scholar 

  4. I. Klich, L. Levitov, Phys. Rev. Lett. 102, 100502 (2009)

    Article  ADS  Google Scholar 

  5. P. Krammer et al., Phys. Rev. Lett. 103, 100502 (2009)

    Article  ADS  MathSciNet  Google Scholar 

  6. L.-A. Wu, M.S. Sarandy, D.A. Lidar, L.J. Sham, Phys. Rev. A 74, 052335 (2006)

    Article  ADS  Google Scholar 

  7. M. Cramer, C.M. Dawson, J. Eisert, T.J. Osborne, Phys. Rev. Lett. 100, 030602 (2008)

    Article  ADS  Google Scholar 

  8. S. Ryu, Y. Hatsugai, Phys. Rev. B 73, 245115 (2006)

    Article  ADS  Google Scholar 

  9. J.P. Coe, A. Sudbery, I. D’Amico, Phys. Rev. B 77, 205122 (2008)

    Article  ADS  Google Scholar 

  10. F. Jelezko, T. Gaebel, I. Popa, A. Gruber, J. Wrachtrup, Phys. Rev. Lett. 92, 076401 (2004)

    Article  ADS  Google Scholar 

  11. R. Hanson, D.D. Awschalom, Nature 453, 1043 (2008)

    Article  ADS  Google Scholar 

  12. J. Wrachtrup, F. Jelezko, J. Phys.: Condens. Matter 18, S807 (2006)

    Article  ADS  Google Scholar 

  13. A.P. Nizovtsev, S. Ya. Kilin, F. Jelezko, T. Gaebal, I. Popa, A. Gruber, J. Wrachtrup, Opt. Spectrosc. 99, 233 (2004)

    Article  ADS  Google Scholar 

  14. N.B. Manson, J.P. Harrison, M.J. Sellars, Phys. Rev. B 74, 104303 (2006)

    Article  ADS  Google Scholar 

  15. F.M. Hossain, M.W. Doherty, H.F. Wilson, L.C.L. Hollenberg, Phys. Rev. Lett. 101, 226403 (2008)

    Article  ADS  Google Scholar 

  16. A. Gali, E. Janzén, P. Deák, G. Kresse, E. Kaxiras, Phys. Rev. Lett. 103, 186404 (2009)

    Article  ADS  Google Scholar 

  17. A. Gali, M. Fyta, E. Kaxiras, Phys. Rev. B 77, 155206 (2008)

    Article  ADS  Google Scholar 

  18. A. Gali, Phys. Rev. B 79, 235210 (2009)

    Article  ADS  Google Scholar 

  19. A. Gali, Phys. Rev. B 80, R241204 (2009)

    Article  ADS  Google Scholar 

  20. Y. Ma, M. Rohlfing, A. Gali, Phys. Rev. B 81, R041204 (2010)

    Article  ADS  Google Scholar 

  21. J.A. Larsson, P. Delaney, Phys. Rev. B 77, 165201 (2008)

    Article  ADS  Google Scholar 

  22. G. Davies, M.F. Hamer, Proc. Roy. Soc. A 348, 285 (1976)

    Article  ADS  Google Scholar 

  23. R.J. Epstein, F.M. Mendoza, Y.K. Kato, D.D. Awschalom, Nature Phys. 1, 94 (2005)

    Article  ADS  Google Scholar 

  24. G.D. Fuchs, V.V. Dobrovitski, R. Hanson, A . Batra, C.D. Weis, T. Schenkel, D.D. Awschalom, Phys. Rev. Lett. 101, 117601 (2008)

    Article  ADS  Google Scholar 

  25. V.M. Acosta, A. Jarmola, E. Bauch, D. Budker, Phys. Rev. B 82, R201202 (2010)

    Article  ADS  Google Scholar 

  26. A. Batalov, V. Jacques, F. Kaiser, P. Siyushev, P. Neumann, L.J. Rogers, R.L. McMurtrie, N.B. Manson, F. Jelezko, J. Wrachtrup, Phys. Rev. Lett. 102, 195506 (2009)

    Article  ADS  Google Scholar 

  27. P. Neumann, R. Kolesov, V. Jacques, J. Beck, J. Tisler, A. Batalov, L. Rogers, N.B. Manson, G. Balasubramanian, F. Jelezko, J. Wrachtrup, New J. Phys. 11, 013017 (2009)

    Article  ADS  Google Scholar 

  28. S. Felton, B.L. Cann, A.M. Edmonds, S. Liggins, R.J. Cruddace, M.E. Newton, D. Fisher, J.M. Baker, J. Phys.: Condens. Matter 21, 364212 (2009)

    Article  Google Scholar 

  29. S. Felton, A.M. Edmonds, M.E. Newton, P.M. Martineau, D. Fisher, D.J. Twitchen, Phys. Rev. B 77, R081201 (2008)

    Article  ADS  Google Scholar 

  30. J.H.N. Loubser, J.A. van Wyk, Diamond Res. 11, 11 (1977)

    Google Scholar 

  31. J.H.N. Loubser, J.A. van Wyk, Rep. Prog. Phys. 41, 1201 (1978)

    Article  ADS  Google Scholar 

  32. S. Dannefear, J. Phys.: Condens. Matter 21, 175412 (2009)

    Article  ADS  Google Scholar 

  33. M. Babamoradi, M. Heidari Saani, A. Ranjbar, M. Vesaghi, Y. Kawazoe, Eur. Phys. J. B (2011), in press, DOI: 10.1140/epjb/e2011-20370-0

  34. J.P. Goss, R. Jones, S.J. Breuer, P.R. Briddon, S. Oberg, Phys. Rev. Lett. 30, 3041 (1996)

    Article  ADS  Google Scholar 

  35. M. Heidari Saani, H. Hashemi, A. Ranjbar, M.A. Vesaghi, A. Shafiekhani, Eur. Phys. J. B 65, 219 (2008)

    Article  ADS  Google Scholar 

  36. P. Zanardi, Phys. Rev. A 67, 054301 (2003)

    Article  ADS  MathSciNet  Google Scholar 

  37. M. Heidari Saani, M.A. Vesaghi, K. Esfarjani, A. Shafiekhani, Diamond Rel. Mater. 13, 2125 (2004)

    Article  ADS  Google Scholar 

  38. M.J. Frisch et al. Gaussian 98, Revision A. 7 (Gaussian, Inc., Pittsburgh PA, 1998)

  39. W.K. Wootters, Phys. Rev. Lett. 80, 802245 (1998)

    Article  ADS  Google Scholar 

  40. J. Schliemann, D. Loss, A.H. MacDonald, Phys. Rev. B 63, 085311 (2001)

    Article  ADS  Google Scholar 

  41. J. Schliemann, J. Ignacio Cirac, M. Kus, M. Lewenstein, D. Loss, Phys. Rev. A 64, 022303 (2001)

    Article  ADS  Google Scholar 

  42. P. Zanardi, Phys. Rev. A 65, 042101 (2002)

    Article  ADS  MathSciNet  Google Scholar 

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

  44. O.D. Tucker, M.E. Newton, J.M. Baker, Phys. Rev. B 50, 15586 (1994)

    Article  ADS  Google Scholar 

  45. S. Felton, A.M. Edmonds, M.E. Newton, P.M. Martineau, D. Fisher, D.J. Twitchen, J.M. Baker, Phys. Rev. B 79, 075203 (2008)

    Article  ADS  Google Scholar 

  46. X.F. He, N.B. Manson, P.T.H. Fisk, Phys. Rev. B 47, 8816 (1993)

    Article  ADS  Google Scholar 

  47. M. Heidari Saani, M.A. Vesaghi, K. Esfarjani, T. Ghods Elahi, M. Sayari, H. Hashemi, N. Gorjizadeh, Phys. Rev. B 71, 035202 (2005)

    Article  ADS  Google Scholar 

  48. M. Heidari Saani, K. Esfarjani, H. Hashemi, M.A. Vesaghi, A.R. Basiri, Physica B 376-377, 324 (2006)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Physics, Sharif University of Technology, P. O. Box: 11365-9161, Tehran, Iran

    M. Babamoradi & M. A. Vesaghi

  2. Physics group, Maleke Ashtar University, P. O. Box: 83145-115, Isfahan, Shahin Shahr, Iran

    M. Heidari Saani

  3. Institute for Materials Research, Tohoku University, Sendai, 980-8577, Japan

    A. Ranjbar & Y. Kawazoe

Authors
  1. M. Babamoradi
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. M. Heidari Saani
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. A. Ranjbar
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. M. A. Vesaghi
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Y. Kawazoe
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to M. Babamoradi.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Babamoradi, M., Heidari Saani, M., Ranjbar, A. et al. Correlation between entanglement and spin density in nitrogen-vacancy center of diamond. Eur. Phys. J. D 65, 597–603 (2011). https://doi.org/10.1140/epjd/e2011-20335-5

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1140/epjd/e2011-20335-5

Keywords

Search

Navigation