Skip to main content
SpringerLink
Log in

Coherence Times of Large-Spin Ensemble in Transient Regime

  • Published:
Journal of Low Temperature Physics Aims and scope Submit manuscript

Abstract

Rabi oscillations in the ensemble of weakly interacting electron or nuclear spins in solids are theoretically studied. A statistical theory which allows for calculation of the coherence times in the transient regime is presented in the general case of arbitrary spin value \(\ge \)1/2. Analytical expressions of the coherence times depending on the spin, temperature, spin concentration, and the Rabi frequency are obtained.

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

Fig. 1

Similar content being viewed by others

References

  1. M.A. Nielsen, I.L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, 2010)

    Book  MATH  Google Scholar 

  2. S. Bertaina et al., Nature 453, 203 (2008). doi:10.1038/nature06962

    Article  ADS  Google Scholar 

  3. S. Bertaina et al., Phys. Rev. Lett. 102, 050501 (2009). doi:10.1103/PhysRevLett.102.050501

    Article  ADS  Google Scholar 

  4. J.R. Klauder, P.W. Anderson, Phys. Rev. 125, 912 (1962). doi:10.1103/PhysRev.125.912

    Article  ADS  Google Scholar 

  5. A.M. Stoneham, Rev. Mod. Phys. 41, 82 (1969). doi:10.1103/RevModPhys.41.82

    Article  ADS  Google Scholar 

  6. E.I. Baibekov, JETP Lett. 93, 292 (2011). doi:10.1134/S002136401105002X

    Article  ADS  Google Scholar 

  7. W. Low, Phys. Rev. 105, 793 (1957). doi:10.1103/PhysRev.105.793

    Article  ADS  Google Scholar 

  8. E.I. Baibekov et al., J. Magn. Res. 209, 61 (2011). doi:10.1016/j.jmr.2010.12.015

    Article  ADS  Google Scholar 

  9. A. Abragam, The Principles of Nuclear Magnetism (Clarendon Press, Oxford, 1961)

    Google Scholar 

  10. D.A. Varshalovich, A.N. Moskalev, V.K. Khersonskii, Quantum Theory of Angular Momentum (World Scientific, Singapore, 1988)

    Book  Google Scholar 

  11. W.B. Mims, Phys. Rev. 168, 370 (1968). doi:10.1103/PhysRev.168.370

    Article  ADS  Google Scholar 

  12. E.I. Baibekov, J. Supercond. Nov. Magn. 26, 1595 (2013). doi:10.1007/s10948-012-1854-0

    Article  Google Scholar 

Download references

Acknowledgments

This work was supported by the Russian President Fellowship for Young Scientists (Stipend No. 924.2015.5), by RFBR (Grant No. 14-02-00826), and by the Russian Government Program of Competitive Growth of Kazan Federal University.

Author information

Authors and Affiliations

  1. Kazan Federal University, Kazan, Russian Federation, 420008

    E. I. Baibekov

Authors
  1. E. I. Baibekov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to E. I. Baibekov.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Baibekov, E.I. Coherence Times of Large-Spin Ensemble in Transient Regime. J Low Temp Phys 185, 577–582 (2016). https://doi.org/10.1007/s10909-016-1615-8

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10909-016-1615-8

Keywords

Search

Navigation