Skip to main content
Log in

Numerical simulation of the dynamics of the spin of an electron and polarized nuclei at a quantum dot

  • Condensed Matter
  • Published:
JETP Letters Aims and scope Submit manuscript

Abstract

The dynamics of the spin of a localized electron at a hyperfine interaction with a large number of initially polarized nuclei with an inhomogeneous coupling constant has been calculated by the diagonalization method. In the absence of an external magnetic field, the decoherence of the spin at large times is incomplete in view of a finite number of nuclei. The asymptotic behavior of the amplitude of vibrations is in agreement with a previously reported analytical expression.

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. D. Loss and D. P. di Vincenzo, Phys. Rev. A 57, 120 (1998).

    Article  ADS  Google Scholar 

  2. B. E. Kane, Nature 393, 133 (1998).

    Article  ADS  Google Scholar 

  3. M. I. Dyakonov and V. I. Perel, in Optical Orientation, Ed. by B. Meier and B. P. Zakharchenia (North-Holland, Amsterdam, 1984), Ch. II.

  4. A. V. Khaetskii, D. Loss, and L. Glazman, Phys. Rev. Lett. 88, 186802 (2002), Phys. Rev. B 67, 195329 (2003).

    Article  ADS  Google Scholar 

  5. W. A. Coish, J. Fischer, and D. Loss, Phys. Rev. B 77, 125329 (2008).

    Article  ADS  Google Scholar 

  6. L. Cywinski, W. M. Witzel, and S. Das Sarma, Phys. Rev. Lett. 102, 057601 (2009), Phys. Rev. B 79, 245314 (2009).

    Article  ADS  Google Scholar 

  7. J. Schliemann, A. V. Khaetskii, and D. Loss, Phys. Rev. B 66, 245303 (2002), J. Phys.: Condens. Matter 15, R1809 (2003).

    Article  ADS  Google Scholar 

  8. V. V. Dobrovitski and H. A. de Raedt, Phys. Rev. E 67, 056702 (2003).

    Article  ADS  Google Scholar 

  9. L. Cywinski, V. V. Dobrovitski, and S. Das Sarma, Phys. Rev. B 82, 035315 (2010).

    Article  ADS  Google Scholar 

  10. F. H. L. Koppens, K. C. Nowack, and L. M. K. Vandersypen, Phys. Rev. Lett. 100, 236802 (2008).

    Article  ADS  Google Scholar 

  11. H. Bluhm, S. Foletti, I. Neder, M. Rudner, D. Mahalu, V. Umansky, and A. Yacoby, Nature Phys. 7, 109 (2011).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to V. A. Abalmassov.

Additional information

Original Russian Text © V.A. Abalmassov, 2016, published in Pis’ma v Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2016, Vol. 103, No. 8, pp. 584–587.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Abalmassov, V.A. Numerical simulation of the dynamics of the spin of an electron and polarized nuclei at a quantum dot. Jetp Lett. 103, 518–521 (2016). https://doi.org/10.1134/S0021364016080026

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0021364016080026

Navigation