Conditioned Density Matrix Treatment of Fluorescent Atom in Quasiclassical Field

  • Tim C. Burt
  • Julio Gea-Banacloche
Conference paper


The purpose of this paper is to show how a quantum trajectory method may be used to obtain analytical approximations for cavity QED problems. We focus on the very simple example of a two-level atom, in an ideal cavity, which is free to decay to modes other than the cavity mode at a rate γ (“Jaynes-Cummings model with spontaneous emission”). In this brief note we only show simple qualitative results for the evolution of the cavity field. Our results for the atomic system variables, such as the effect of spontaneous emission on the revivals, and on the state preparation effect, will be presented elsewheret.1


Density Matrix Coherent State Spontaneous Emission Cavity Mode Initial Field 


  1. 1.
    T. C. Burt and J. Gea-Banacloche, “Analytic quantum-trajectory results for fluorescent atom in lossless cavity,” submitted to Quantum and Semiclassical Optics, special issue on Stochastic Quantum Optics (publication due: February 1996 ).Google Scholar
  2. 2.
    J. Gea-Banacloche, “Atom-and field-state evolution in the Jaynes-Cummings model for large initial fields,” Phrs. Rev. A 44: 5913 (1991)CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 1996

Authors and Affiliations

  • Tim C. Burt
    • 1
  • Julio Gea-Banacloche
    • 1
  1. 1.Department of PhysicsUniversity of Arkansas FayettevilleUSA

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