Skip to main content
Log in

The decrease in the overall algorithmic complexity of the spin-echo effect

  • Short Communications
  • Published:
Journal of Statistical Physics Aims and scope Submit manuscript

Abstract

Recently Lloyd and Zurek studied the algorithmic complexity of the spin-echo effect and concluded that the overall complexity of spins together with the magnetic field grew slowly even during the rephasing stage. In this paper we show that, in contrast to their conclusion, the complexity decreases during the rephasing stage. We also clarify the origin of the disagreement.

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.

References

  1. S. Lloyd and W. H. Zurek, Algorithmic treatment of the spin-echo effect,J. Stat. Phys. 62:819–839 (1991).

    Google Scholar 

  2. E. L. Hahn, Spin echoes,Phys. Rev. 80:580–594 (1950).

    Google Scholar 

  3. W.-K. Rhim, A. Pines, and J. S. Waugh, Time-reversal experiments in dipolar-coupled spin systems,Phys. Rev. B 3:684–696 (1971).

    Google Scholar 

  4. K. Blum,Density Matrix, Theory and Applications (Plenum Press, New York, 1981), Chapter 7.

    Google Scholar 

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

    Google Scholar 

  6. G. J. Chaitin,Algorithm Information Theory (Cambridge University Press, Cambridge, 1987), and references therein.

    Google Scholar 

  7. W. H. Zurek, Algorithmic randomness and physical entropy,Phys. Rev. A 40:4731–4751 (1989).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Shizume, K. The decrease in the overall algorithmic complexity of the spin-echo effect. J Stat Phys 70, 1057–1062 (1993). https://doi.org/10.1007/BF01053608

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01053608

Key words

Navigation