Skip to main content
SpringerLink
Log in

Quantum dynamics of a three-level trapped ion under a time-dependent interaction with laser beams

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

Abstract

We solved time-dependent Hamiltonian of a three-level ion interacting with two-laser beams in Λ scheme using a unitary transformation method which transform the Λ scheme to a cascade Ξ scheme for the vibrational phonon transitions. Our analytical results for the probability amplitudes become precise after a certain period of time when the Lamb-Dicke regime is reached. We analyzed the entanglement created in the system.

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.A. Nielsen, I.L. Chuang, Quantum computation and quantum information (Cambridge University Press, Cambridge, 2000)

  2. R. Horodecki, P. Horodecki, M. Horodecki, K. Horodecki, Rev. Mod. Phys. 81, 865 (2009)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  3. D. Bouwmeester, A. Zeilinger, A. Ekert, The Physics of Quantum Information (Springer, Berlin, 2000)

  4. A. Einstein, B. Podolsky, N. Rosen, Phys. Rev. 47, 777 (1935)

    Article  ADS  MATH  Google Scholar 

  5. J.S. Bell, Physics 195, 1 (1964)

    Google Scholar 

  6. G. Gour, B.C. Senders, Phys. Rev. Lett. 93, 260501 (2004)

    Article  ADS  Google Scholar 

  7. G. Gour, Phys. Rev. A. 71, 012318 (2005)

    Article  MathSciNet  ADS  Google Scholar 

  8. R. Dermez, E.Ö. Müstecaplıoğlu, Phys. Scr. 71, 015304 (2009)

    Article  ADS  Google Scholar 

  9. R. Dermez, S. Özen, Eur. Phys. J. D 57, 431 (2010)

    Article  ADS  Google Scholar 

  10. R. Dermez, S.A. Khalek, J. Russ. Laser Res. 32, 287 (2011)

    Article  Google Scholar 

  11. R. Dermez, S.A. Khalek, K. Kara, B. Deveci, G.N. Gunaydin, J. Russ. Laser Res. 33, 42 (2012)

    Article  Google Scholar 

  12. R. Dermez, S. Özen, Phys. Scr. 85, 055009 (2012)

    Article  ADS  Google Scholar 

  13. S. Abdel-Khalek, Phys. Scr. 80, 045302 (2009)

    Article  ADS  Google Scholar 

  14. Z.-J. Wang, F. Chen, Chin. Phys. Lett. 24, 1570 (2007)

    Article  ADS  Google Scholar 

  15. P. Maunz, Moehring, S. Olmschenk, K.C. Younge, D.N. Matsukevich, C. Monreo, Nature 3, 538 (2007)

    Google Scholar 

  16. Mu Qing-Xia, Ma Yang-Hong, L. Zhou, J. Phys. B 40, 3241 (2007)

    Article  ADS  Google Scholar 

  17. D.J. Wineland, M. Barrett, J. Britton, J. Chiaverini, B. DeMarco, W.M. Itano, B. Jelenkovici, C. Langer, D. Leibfried, V. Meyer, T. Rosenband, T. Schatz, Philos. Trans. R. Soc. London A 361, 1349 (2003)

    Article  ADS  Google Scholar 

  18. R.J. Hughes, D.F.V. James, J.J. Gomez, M.S. Gulley, M.H. Holzscheiter, P.G. Kwiat, S.K. Lamoreau, C.G. Peterson, V.D. Sandberg, M.M. Schauer, C.M. Simmons, C.E. Thorburn, D. Tupa, P.Z. Wang, A.G. White, Fortschr. Phys. 46, 329 (1998)

    Article  Google Scholar 

  19. D. Leibfried, R. Blatt, C. Monroe, D. Wineland, Rev. Mod. Phys. 75, 281 (2003)

    Article  ADS  Google Scholar 

  20. J. Criac, P. Zoller, Phys. Rev. Lett. 74, 4091 (1995)

    Article  ADS  Google Scholar 

  21. Quantum information with continuous variables of atoms and light, edited by N.J. Cerf, G. Leuchs, E.S. Polzik (Imperial College Press, London, 2007)

  22. B.C. Sanders, Appl. Math. Inf. Sci. 3, 117 (2009)

    MathSciNet  Google Scholar 

  23. M. Abdel-Aty, Appl. Phys. B 84, 471 (2006)

    Article  ADS  Google Scholar 

  24. D. Leibfried, D.M. Meekhof, B.E. King, C. Monroe, W.M. Itano, D.J. Wineland, J. Mod. Opt. 44, 2485 (1997)

    ADS  Google Scholar 

  25. C. Gerry, P. Knight, Introductory quantum optics (Cambridge University Press, Cambridge, 2005)

  26. D.M. Meekhoff, C. Monroe, B.E. King, W.M. Itano, D.J. Wineland, Phys. Rev. Lett. 76, 1796 (1996)

    Article  ADS  Google Scholar 

  27. T. Durt, N.J. Cerf, N. Gisin, M. Zukowski, Phys. Rev. A 67, 012311 (2003)

    Article  ADS  Google Scholar 

  28. M. Abdel-Aty, A.R. McGurn, Phys. Lett. A 373, 2420 (2009)

    Article  ADS  MATH  Google Scholar 

  29. E.Ö. Müstecaplıoğlu, Phys. Rev. A 68, 023811 (2003)

    Article  Google Scholar 

  30. M. Abdel-Aty, J. Phys. A 38, 8589 (2005)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  31. M. Abdel-Aty, J. Phys. B 33, 2665 (2000)

    Article  ADS  Google Scholar 

  32. D.F.V. James, Appl. Phys. B 66, 181 (1998)

    Article  ADS  Google Scholar 

  33. L.F. Wei, Y. Liu, F. Nori, Phys. Rev. A 70, 063801 (2004)

    Article  ADS  Google Scholar 

  34. L.F. Wei, Y. Liu, X.L. Lei, Opt. Commun. 208, 131 (2002)

    Article  ADS  Google Scholar 

  35. H. Gou, L. Zhao, Phys. Rev. A 73, 053822 (2006)

    Article  ADS  Google Scholar 

  36. M. Abdel-Aty, Opt. Commun. 266, 225 (2006)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Physics, Afyon Kocatepe University, 03200, Afyonkarahisar, Turkey

    Rasim Dermez & Bekir Deveci

  2. Department of Electrical and Computer Engineering, Michigan Technological University, Houghton, 49931, Michigan, USA

    Rasim Dermez & Durdu Ö. Güney

Authors
  1. Rasim Dermez
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Bekir Deveci
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Durdu Ö. Güney
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Rasim Dermez.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Dermez, R., Deveci, B. & Güney, D. Quantum dynamics of a three-level trapped ion under a time-dependent interaction with laser beams. Eur. Phys. J. D 67, 120 (2013). https://doi.org/10.1140/epjd/e2013-30649-9

Download citation

  • Received:

  • Revised:

  • Published:

  • DOI: https://doi.org/10.1140/epjd/e2013-30649-9

Keywords

Search

Navigation