Skip to main content
Log in

Ultrafast single electron spin manipulation in 2D semiconductor quantum dots with optimally controlled time-dependent electric fields through spin-orbit coupling

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

Abstract

We have studied theoretically the possibility of ultra-fast manipulation of a single electron spin in 2D semiconductor quantum dots, by means of high-frequency time-dependent electric fields. The electron spin degree of freedom is excited through spin-orbit coupling, and the procedure may be enhanced by the presence of a static magnetic field. We use quantum optimal control theory to tailor the temporal profile of the electric field in order to achieve the most effective manipulation. The scheme predicts significant control over spin operations in times of the order of picoseconds – an ultrafast time scale that permits to avoid the effects of decoherence if this scheme is to be used as a tool for quantum information processing.

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. L.P. Kouwenhoven, D.G. Austing, S. Tarucha, Rep. Prog. Phys. 64, 701 (2001)

    Article  ADS  Google Scholar 

  2. R. Hanson, L.P. Kouwenhoven, J.R. Petta, S. Tarucha, L.M.K. Vandersypen, Rev. Mod. Phys. 79, 1217 (2007)

    Article  ADS  Google Scholar 

  3. I. Žutić, J. Fabian, S. Das Sarma, Rev. Mod. Phys. 76, 323 (2004)

    Article  ADS  Google Scholar 

  4. D. Loss, D.P. DiVincenzo, Phys. Rev. A 57, 120 (1998)

    Article  ADS  Google Scholar 

  5. J.M. Elzerman, R. Hanson, L.H. Willems van Beveren, B. Witkamp, L.M.K. Vandersypen, L.P. Kouwenhoven, Nature 430, 431 (2004)

    Article  ADS  Google Scholar 

  6. J.M. Taylor, J.R. Petta, A.C. Johnson, A. Yacoby, C.M. Marcus, M.D. Lukin, Phys. Rev. B 76, 035315 (2007)

    Article  ADS  Google Scholar 

  7. D.P. DiVincenzo, Fortschr. Phys. 48, 771 (2000)

    Article  MATH  Google Scholar 

  8. K.C. Nowak, F.H.L. Koppens, Yu.V. Nazarov, L.M.K. Vandersypen, Science 318, 1430 (2007)

    Article  ADS  Google Scholar 

  9. P. Stano, J. Fabian, Phys. Rev. B 77, 045310 (2008)

    Article  ADS  Google Scholar 

  10. D. Press, T.D. Ladd, B. Zhang, Y. Yamamoto, Nature 456, 218 (2008)

    Article  ADS  Google Scholar 

  11. Y. Ban, X. Chen, E. Ya Sherman, J.G. Muga, Phys. Rev. Lett. 109, 206602 (2012)

    Article  ADS  Google Scholar 

  12. K. De Greeve, D. Press, P.L. McMahon, Y. Yamamoto, Rep. Prog. Phys. 76, 092501 (2013)

    Article  ADS  Google Scholar 

  13. J.H. Jiang, M.Q. Weng, M.W. Wu, J. Appl. Phys. 100, 063709 (2006)

    Article  ADS  Google Scholar 

  14. C. Brif, R. Chakrabarti, H. Rabitz, New J. Phys. 12, 075008 (2010)

    Article  ADS  Google Scholar 

  15. J. Werschnik, E.K.U. Gross, J. Phys. B 40, R175 (2007)

    Article  ADS  MathSciNet  Google Scholar 

  16. M.A.L. Marques, A. Castro, G.F. Bertsch, A. Rubio, Comp. Phys. Commun. 151, 60 (2003)

    Article  ADS  Google Scholar 

  17. A. Castro, H. Appel, M. Oliveira, C.A. Rozzi, X. Andrade, F. Lorenzen, M.A.L. Marques, E.K.U. Gross, A. Rubio, Phys. Stat. Sol. B 243, 2465 (2006)

    Article  ADS  Google Scholar 

  18. X. Andrade, J. Alberdi-Rodriguez, D.A. Strubbe, M.J.T. Oliveira, F. Nogueira, A. Castro, J. Muguerza, A. Arruabarrena, S.G. Louie, A. Aspuru-Guzik, A. Rubio, M.A.L. Marques, J. Phys.: Condens. Matter 24, 233202 (2012)

    ADS  Google Scholar 

  19. E. Runge, E.K.U. Gross. Phys. Rev. Lett. 52, 997 (1984)

    Article  ADS  Google Scholar 

  20. Fundamentals of Time-Dependent Density Functional Theory, edited by M.A.L. Marques, N.T. Maitra, F.M.S. Nogueira, E.K.U. Gross, A. Rubio, Lecture Notes in Physics (Springer, Berlin, Heidelberg, 2012), Vol. 837

  21. E. Räsänen, A. Castro, J. Werschnik, A. Rubio, E.K.U. Gross, Phys. Rev. Lett. 98, 157404 (2007)

    Article  ADS  Google Scholar 

  22. E. Räsänen, A. Castro, J. Werschnik, A. Rubio, E.K.U. Gross, Physica E 40, 1593 (2008)

    Article  ADS  Google Scholar 

  23. E. Räsänen, A. Castro, J. Werschnik, A. Rubio, E.K.U. Gross, Phys. Rev. B 77, 085324 (2008)

    Article  ADS  Google Scholar 

  24. Y.A. Bychkov, E. Rashba, J. Phys. C 17, 6039 (1984)

    Article  ADS  Google Scholar 

  25. G. Dresselhaus, Phys. Rev. 100, 580 (1955)

    Article  ADS  MATH  Google Scholar 

  26. P. Pfeffer, W. Zawadzki, Phys. Rev. B 51, 14332 (1995)

    Article  ADS  Google Scholar 

  27. B. Jusserand, D. Richards, G. Allan, C. Priester, B. Etienne, Phys. Rev. B 51, 4707 (1995)

    Article  ADS  Google Scholar 

  28. R. Fletcher, Practical Methods of Optimization (Wiley, New York, 2000)

  29. K. Krieger, A. Castro, E.K.U. Gross, Chem. Phys. 391, 50 (2011)

    Article  ADS  Google Scholar 

  30. P. Stano, J. Fabian, Phys. Rev. B 72, 155410 (2005)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Jorge A. Budagosky Marcilla.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Budagosky Marcilla, J.A., Castro, A. Ultrafast single electron spin manipulation in 2D semiconductor quantum dots with optimally controlled time-dependent electric fields through spin-orbit coupling. Eur. Phys. J. B 88, 15 (2015). https://doi.org/10.1140/epjb/e2014-50700-5

Download citation

  • Received:

  • Revised:

  • Published:

  • DOI: https://doi.org/10.1140/epjb/e2014-50700-5

Keywords

Navigation