Skip to main content
SpringerLink
Log in

Spreading of atomic wave packets and semiclassical chaos

  • Nonlinear Dynamics
  • Published:
JETP Letters Aims and scope Submit manuscript

Abstract

The correspondence between the statistical properties of the evolution of a quantum system and Lyapunov instability and the chaos of its semiclassical analog has been demonstrated. The results of the analyses of atomic motion in a laser field in the semiclassical approximation (dynamics is described by several nonlinear equations) and without this approximation (dynamics is described by an infinite system of linear equations) are compared. In the ranges of the parameters for which the semiclassical dynamics of point-like atoms is unstable, the fast “spreading” of quantized wave packets in the momentum space is observed. Thus, deterministic chaos “imitates” the statistics of the quantum nondeterministic effects, although the semiclassical and quantum solutions are fundamentally different.

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. P. I. Belobrov, G. M. Zaslavskii, and G. Kh. Tartakovskii, Zh. Eksp. Teor. Fiz. 71, 1799 (1976) [Sov. Phys. JETP 44, 945 (1976)].

    Google Scholar 

  2. F. L. Moore, J. C. Robinson, C. Bharucha, et al., Phys. Rev. Lett. 73, 2974 (1994).

    Article  ADS  Google Scholar 

  3. J. C. Robinson, C. Bharucha, F. L. Moore, et al., Phys. Rev. Lett. 74, 3963 (1995).

    Article  ADS  Google Scholar 

  4. S. Dyrting and G. J. Milburn, Phys. Rev. A 51, 3136 (1995).

    Article  ADS  Google Scholar 

  5. R. Graham, M. Schlautmann, and P. Zoller, Phys. Rev. A 45, R19 (1992).

    Article  ADS  Google Scholar 

  6. B. G. Klappauf, W. H. Oskay, D. A. Steck, et al., Phys. Rev. Lett. 81, 1203 (1998).

    Article  ADS  Google Scholar 

  7. V. Yu. Argonov and S. V. Prants, J. Russ. Laser Res. 27, 360 (2006).

    Article  Google Scholar 

  8. V. Yu. Argonov and S. V. Prants, Phys. Rev. A 75, 063428 (2007).

    Article  ADS  Google Scholar 

  9. V. Yu. Argonov and S. V. Prants, JETP Lett. 88, 655 (2008).

    Article  ADS  Google Scholar 

  10. V. Yu. Argonov and S. V. Prants, Phys. Rev. A 78, 043413 (2008).

    Article  ADS  Google Scholar 

  11. S. V. Prants, Zh. Eksp. Teor. Fiz. 136, 873 (2009) [JETP 109, 751 (2009)].

    Google Scholar 

  12. H. Ammann, R. Gray, I. Shvarchuck, et al., Phys. Rev. Lett. 80, 4111 (1998).

    Article  ADS  Google Scholar 

  13. C. J. Hood, T. W. Lynn, A. C. Doherty, et al., Science 287, 1447 (2000).

    Article  ADS  Google Scholar 

  14. W. K. Hensinger, N. R. Heckenberg, G. J. Milburn, et al., J. Opt. B: Quantum Semiclass. Opt. 5, R83 (2003).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Laboratory of Nonlinear Dynamical Systems, Pacific Oceanological Institute, Far East Division, Russian Academy of Sciences, ul. Baltiiskaya 43, Vladivostok, 690041, Russia

    V. Yu. Argonov

Authors
  1. V. Yu. Argonov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to V. Yu. Argonov.

Additional information

Original Russian Text © V.Yu. Argonov, 2009, published in Pis’ma v Zhurnal Éksperimental’noĭ i Teoreticheskoĭ Fiziki, 2009, Vol. 90, No. 12, pp. 837–841.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Argonov, V.Y. Spreading of atomic wave packets and semiclassical chaos. Jetp Lett. 90, 739–743 (2010). https://doi.org/10.1134/S0021364009240011

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0021364009240011

Keywords

Search

Navigation