Many-Body Theory of Atom Optics

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

Abstract

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.

Keywords

Soliton Dock 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  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