Skip to main content
SpringerLink
Log in

Floquet Dynamics in a One-Dimensional Chain in the Multipulse Spin Locking of Nuclear Magnetic Resonance

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

Abstract

The dynamics of a one-dimensional chain that consists of 10–14 dipolar-coupled nuclear spins, is placed in an external magnetic field, and is irradiated by a periodic sequence of resonant π/n pulses (n is a natural number) with the same time delay 2τ between them has been studied. The numerical calculation has shown that thermodynamic equilibrium, which is determined by the common temperature of the Zeeman and dipole reservoirs, is established in the spin system at the average pulse field π/(2nτ) ∼ ωloc (where ωloc is the dipole frequency and n > 2) and times t ∼ ω −1loc . The relaxation of the magnetization in the system irradiated by (π/2)x pulses at π/4τ ≫ πlocis due to a four-spin resonant process, and the relaxation rate is proportional to τ4.

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. L. D. Alessio and M. Rigol, Phys. Rev. X 4, 041048 (2014).

    Google Scholar 

  2. D. A. Abanin, W. D. Roeck, and F. Huveneers, Phys. Rev. Lett. 115, 256803 (2015).

    Article  ADS  Google Scholar 

  3. D. A. Abanin, W. D. Roeck, W. W. Ho, and F. Huveneers, Phys. Rev. B 95, 014112 (2017).

    Article  ADS  Google Scholar 

  4. C. Yin, P. Peng, X. Huang, C. Ramanathan, and P. Capellaro, arxiv: 2005.11150 (quant-ph) (2020).

  5. B. I. Bantysh, A. Yu. Chernyavskiy, and Yu. I. Bogdanov, JETP Lett. 111, 512 (2020).

    Article  ADS  Google Scholar 

  6. U. Haeberlen and J. Waugh, Phys. Rev. 175, 453 (1968).

    Article  ADS  Google Scholar 

  7. W.-K. Rhim, D. P. Burum, and D. D. Elleman, Phys. Rev. Lett. 37, 1764 (1976).

    Article  ADS  Google Scholar 

  8. W.-K. Rhim, A. Pines, and J. S. Waugh, Phys. Rev. Lett. 25, 218 (1970).

    Article  ADS  Google Scholar 

  9. M. Mehring, High Resolution NMR Spectroscopy in Solids (Springer, Berlin, Heidelberg, New York, 1976).

    Book  Google Scholar 

  10. Yu. N. Ivanov, B. N. Provotorov, and E. B. Fel’dman, Sov. Phys. JETP 48, 930 (1978).

    ADS  Google Scholar 

  11. A.-M. G. Floquet, Ann. Sci. École Norm. Super. 2 12, 47 (1883).

    Article  Google Scholar 

  12. E. I. Kuznetsova, E. B. Fel’dman, and D. E. Feldman, Phys. Usp. 59, 577 (2016).

    Article  ADS  Google Scholar 

  13. W. Magnus, Comm. Pure Appl. Math. 7, 649 (1954).

    Article  MathSciNet  Google Scholar 

  14. E. B. Fel’dman, Phys. Lett. A 104, 479 (1984).

    Article  ADS  Google Scholar 

  15. L. N. Erofeev, B. A. Shumm, and G. B. Manelis, Sov. Phys. JETP 48, 925 (1978).

    ADS  Google Scholar 

  16. M. Goldman, Spin Temperature and Nuclear Magnetic Resonance in Solids (Oxford Univ. Press, Oxford, 1970).

    Google Scholar 

  17. B. N. Provotorov, Sov. Phys. JETP 14, 1126 (1961).

    Google Scholar 

  18. Wolfram Research, Mathematica. Version 9.0.1 (Champaign, IL, 2013).

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

    Google Scholar 

  20. G. A. Bochkin, E. B. Fel’dman, S. G. Vasil’ev, and V. I. Volkov, Chem Phys. Lett. 680, 56 (2017).

    Article  ADS  Google Scholar 

  21. V. E. Zobov, Sov. Phys. Solid State 21, 1408 (1979).

    Google Scholar 

  22. V. E. Zobov and M. M. Kucherov, JETP Lett. 107, 553 (2018).

    Article  ADS  Google Scholar 

  23. V. E. Zobov and M. M. Kucherov, J. Exp. Theor. Phys. 128, 641 (2019).

    Article  ADS  Google Scholar 

Download references

Funding

This work was supported by the Ministry of Science and Higher Education of the Russian Federation (project no. 075-15-2020-779).

Author information

Authors and Affiliations

  1. Institute of Problems of Chemical Physics, Russian Academy of Sciences, Chernogolovka, Moscow region, 142432, Russia

    G. A. Bochkin, S. G. Vasil’ev, A. V. Fedorova & E. B. Fel’dman

Authors
  1. G. A. Bochkin
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. S. G. Vasil’ev
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. A. V. Fedorova
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. E. B. Fel’dman
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to E. B. Fel’dman.

Additional information

Russian Text © The Author(s), 2020, published in Pis’ma v Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2020, Vol. 112, No. 11, pp. 754–758.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Bochkin, G.A., Vasil’ev, S.G., Fedorova, A.V. et al. Floquet Dynamics in a One-Dimensional Chain in the Multipulse Spin Locking of Nuclear Magnetic Resonance. Jetp Lett. 112, 715–719 (2020). https://doi.org/10.1134/S0021364020230046

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0021364020230046

Search

Navigation