Skip to main content
SpringerLink
Log in

Comparative study of linear entropy and negativity in molecular vibrations

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

Abstract

The dynamical comparison of entanglement, measured by linear entropy and negativity, is carried out for initial pure separable states in vibrations of H2O and SO2. It is shown that both measures of an initial state with local-mode character have the same period for H2O, while those of an initial state with normal-mode character are no longer identical in period. When the total quantum number of the initial state is one, both measures rise and lower together with the period for H2O being larger than that for SO2. For a suitable state in H2O, both measures exhibit a beat phenomenon with a long period.

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. V. Vedral, Rev. Mod. Phys. 74, 197 (2002)

    Article  ADS  MathSciNet  Google Scholar 

  2. P.T. Cochrane, G.J. Milburn, W.J. Munro, Phys. Rev. A 62, 062307 (2000)

    Article  ADS  Google Scholar 

  3. T.C. Ralph, Phys. Rev. A 62, 062306 (2000)

    Article  ADS  MathSciNet  Google Scholar 

  4. W.J. Munro, G.J. Milburn, B.C. Sanders, Phys. Rev. A 62, 052108 (2000)

    Article  ADS  Google Scholar 

  5. C.H. Bennett, D.P. DiVincenzo, J.A. Smolin, W.K. Wootters, Phys. Rev. A 54, 3824 (1996)

    Article  ADS  MathSciNet  Google Scholar 

  6. C.H. Bennett, G. Brassard, S. Popescu, B. Schumacher, J. Smolin, W.K. Wootters, Phys. Rev. Lett. 76, 722 (1996)

    Article  ADS  Google Scholar 

  7. V. Vedral, M.B. Plenio, K. Jacobs, P.L. Knight, Phys. Rev. A 56, 4452 (1997)

    Article  ADS  Google Scholar 

  8. W.H. Zurek, S. Habib, J.P. Paz, Phys. Rev. Lett. 70, 1187 (1993)

    Article  ADS  Google Scholar 

  9. S. Hill, W.K. Wootters, Phys. Rev. Lett. 78, 5022 (1997)

    Article  ADS  Google Scholar 

  10. A. Peres, Phys. Rev. Lett. 77, 1413 (1996)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  11. S. Virmani, M.B. Plenio, Phys. Lett. A 268, 31 (2000)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  12. F. Verstraete, K. Audenaert, J. Dehaene, B. De Moor, J. Phys. A 34, 10327 (2001)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  13. T.C. Wei, K. Nemoto, P.M. Goldbart, P.G. Kwiat, W.J. Munro, F. Verstraete, Phys. Rev. A 67, 022110 (2003)

    Article  ADS  Google Scholar 

  14. T. Sako, K. Yamanouch, F. Iachello, J. Chem. Phys. 114, 9441 (2001)

    Article  ADS  Google Scholar 

  15. C.M. Tesch, R. deVivie-Riedle, Phys. Rev. Lett. 89, 157901 (2002)

    Article  ADS  Google Scholar 

  16. K. Mishima, K. Shioya, K. Yamashita, Chem. Phys. Lett. 442, 58 (2007)

    Article  ADS  Google Scholar 

  17. T. Cheng, A. Brown, J. Chem. Phys. 124, 034111 (2006)

    Article  ADS  Google Scholar 

  18. F. Iachello, R.D. Levine, J. Chem. Phys. 77, 3046 (1982)

    Article  ADS  MathSciNet  Google Scholar 

  19. F. Iachello, R.D. Levine, Algebraic Theory of Molecules (Oxford University Press, 1995)

  20. T. Sako, K. Yamonouchi, F. Iachello, J. Chem. Phys. 113, 7292 (2000)

    Article  ADS  Google Scholar 

  21. Z.Q. Ma, X.W. Hou, M. Xie, Phys. Rev. A 53, 2173 (1996)

    Article  ADS  Google Scholar 

  22. F. Iachell, S. Oss, Eur. Phys. J. D 19, 307 (2001)

    ADS  Google Scholar 

  23. H. Feng, Y. Zheng, S. Ding, Eur. Phys. J. D 42, 227 (2007)

    Article  ADS  Google Scholar 

  24. P.S.Y. Poon, C.K. Law, Phys. Rev. A 76, 054305 (2007)

    Article  ADS  Google Scholar 

  25. M.E. Kellman, J. Chem. Phys. 83, 3843 (1985)

    Article  ADS  Google Scholar 

  26. E.T. Jaynes, F.W. Cummings, Proc. IEEE 51, 89 (1963)

    Article  Google Scholar 

  27. S.D. Du, C.D. Gong, Phys. Rev. A 50, 779 (1994)

    Article  ADS  Google Scholar 

  28. V.S. Malinovsky, I.R. Sola, Phys. Rev. Lett. 96, 050502 (2006)

    Article  ADS  Google Scholar 

  29. I.K. Kndravtstev, P.L. Knight, J. Mod. Opt. 40, 1637 (1993)

    Google Scholar 

  30. M. Abdel-Aty, J. Math. Phys. 44, 1457 (2003)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  31. L. Masanes, Phys. Rev. Lett. 96, 150501 (2006)

    Article  ADS  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Physics, Huazhong Normal University, Wuhan, 430079, P.R. China

    Xi-Wen Hou

  2. Department of Information Management, Huazhong Normal University, Wuhan, 430079, P.R. China

    Jing-Hua Chen

  3. School of Natural Science, Wuhan University of Technology, Wuhan, 430079, P.R. China

    Ming-Fang Wan

  4. Institute of High Energy Physics, P.O. Box 918(4), Beijing, 100049, P.R. China

    Zhong-Qi Ma

Authors
  1. Xi-Wen Hou
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Jing-Hua Chen
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Ming-Fang Wan
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Zhong-Qi Ma
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Xi-Wen Hou.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Hou, XW., Chen, JH., Wan, MF. et al. Comparative study of linear entropy and negativity in molecular vibrations. Eur. Phys. J. D 49, 37–41 (2008). https://doi.org/10.1140/epjd/e2008-00134-y

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1140/epjd/e2008-00134-y

PACS

Search

Navigation