Chaos in the Semiclassical N-Atom Jaynes-Cummings Model

  • P. W. Milonni
  • J. R. Ackerhalt
  • H. W. Galbraith
Conference paper


Chaotic behavior in deterministic dynamical systems is characterized by aperiodicity and “very sensitive dependence on initial conditions.” Slightly different initial conditions can lead to drastically different long-term behavior. Recently it has become clear that chaos is a characteristic mode of behavior even in low-dimensional systems, and certain routes to chaos (e.g., period doubling) have been identified.


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  1. 1.
    H. Haken, Phys. Lett. 53A, 77 (1975).Google Scholar
  2. 2.
    F. T. Arecchi, R. Meucci, G. Puccioni, and J. Tredicce, Phys. Rev. Lett. 49, 1217 (1982).Google Scholar
  3. 3.
    K. Ikeda, H. Daido, and 0. Akimoto, Phys. Rev. Lett. 45, 709 (1980).Google Scholar
  4. 4.
    H. Nakatsuka, S. Asaka, H. Itoh, K. Ikeda, and M. Matsuoka, Phys. Rev. Lett. 50, 109 (1983).Google Scholar
  5. 5.
    E. T. Jaynes and F. W. Cummings, Proc. IEEE 51, 89 (1963).Google Scholar
  6. 6.
    M. Tavis and F. W. Cummings, Phys. Rev. 170, 379 (1968).Google Scholar
  7. 7.
    J. H. Eberly, N. B. Narozhny, and J. J. Sanchez-Mondragon, Phys. Rev. Lett. 44, 1323 (1980).Google Scholar
  8. 8.
    N. B. Narozhny, J. J. Sanchez-Mondragon, and J. H. Eberly, Phys. Rev. A23, 236 (1981).Google Scholar
  9. 9.
    P. W. Milonni, J. R. Ackerhalt, and H. W. Galbraith, Phys. Rev. Lett. 50, 966 (1983).Google Scholar
  10. 10.
    D. Ruelle, Bifurcation Theory and Applications in Scientific Disciplines ed. by 0. Gurel and 0. E. Rdssler (N.Y. Academy of Sciences, N.Y., 1979 ), p. 408.Google Scholar
  11. 11.
    G. Benettin, L. Galgani, and J. M. Strelcyn, Phys. Rev. A14, 2338 (1976).Google Scholar
  12. 12.
    G. Benettin and L. Galgani, J. Stat. Phys. 27, 153 (1982).Google Scholar

Copyright information

© Springer Science+Business Media New York 1984

Authors and Affiliations

  • P. W. Milonni
    • 1
  • J. R. Ackerhalt
    • 2
  • H. W. Galbraith
    • 2
  1. 1.Department of PhysicsUniversity of ArkansasFayettevilleUSA
  2. 2.Theoretical Division (T-12)Los Alamos National LaboratoryLos AlamosUSA

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