Many-Body Theory of Atom Optics

  • G. Lenz
  • P. Meystre
Conference paper
Part of the Springer Proceedings in Physics book series (SPPHY, volume 77)


We present a many-body theory for a system of N identical two-level atoms interacting with classical and quantum mechanical electromagnetic fields. We derive a master equation for the density operator. From that master equation we derive a BBGKY-hierarchy for the reduced density matrices, and show that the reduced one-particle density matrix contains a new term in the form of a complex potential.


Master Equation Density Operator Rotating Wave Approximation Spherical Bessel Function Reduce Density Matrice 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [1]
    P. S. Julienne and F. H. Mies, J. Opt. Soc. Am B 6, 2257 (1989).CrossRefADSGoogle Scholar
  2. [2]
    G. Lenz, P. Meystre and E. M. Wright, Phys. Rev. Lett. 71, 3271 (1993).CrossRefADSGoogle Scholar
  3. [3]
    Weiping Zhang, D. F. Walls and B. C. Sanders, Phys. Rev. Lett. 72, 60 (1994).CrossRefADSGoogle Scholar
  4. [4]
    C. Cohen-Tannoudji, J. Dupont-Roc and G. Grynberg, Atom-Photon Interactions, Basic Processes and Applications (Wiley-Interscience, New-York, 1992).Google Scholar
  5. [5]
    C. Cohen-Tannoudji, J. Dupont-Roc and G. Grynberg, Photons and Atoms, Introduction to Quantum Electrodynamics (Wiley-Interscience, New-York, 1989).Google Scholar
  6. [6]
    E. A. Power and T. Thirunamachandran Proc. R. Soc. Lond. A 372, 265, (1980).Google Scholar
  7. [7]
    R. Graham and F. Haake, Springer Tracts in Modern Physics Vol. 66 (Springer Verlag, Berlin, 1973).Google Scholar
  8. [8]
    M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions (Dover, New York, 1972).MATHGoogle Scholar
  9. [9]
    L. E. Reichl, A Modern Course in Statistical Physiscs (Uni. Texas Press, Austin, 1980).Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1994

Authors and Affiliations

  • G. Lenz
    • 1
  • P. Meystre
    • 1
  1. 1.Optical Sciences CenterUniversity of ArizonaTucsonUSA

Personalised recommendations