Jaynes-Cummings Model with Fluctuating Atom-Field Coefficient

  • Amitabh Joshi
  • S. V. Lawande
Conference paper


The simplest model of atom-field interaction first proposed by Jaynes and Cummings known as JCM1 describing the interaction of a two-level atom with a single quantized mode of electromagnetic field in a lossless cavity continues to receive a great deal of theoretical as well as experimental attention. Theoretical interest in this model stems from the fact that it is one of the few exactly solvable models in quantum optics showing several quantum mechanical features such as vacuum field Rabi splitting, collapse and revival phenomenon of Rabi oscillations in the coherent field2, photon antihunching, squeezing of the cavity field etc.. The analytical simplicity and the experimental realizibility of the JCM have inspired many of its extensions and generalizations in recent years. Here we generalize.JCM to include the effects of stochastic fluctuations in the atom-field coupling coefficient. The coupling coefficient is assumed to fluctuate in phase and/or in amplitude in general.


Rabi Oscillation Stochastic Fluctuation Photon Number Distribution Intensity Correlation Function Colored Gaussian Noise 
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  1. 1.
    E. T. Jaynes and F. W. Cummings, Compulsion of quantum and semiclassical radiation theories with application to beans maser, Proc. IEEE, 51, 89 (1963).CrossRefGoogle Scholar
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    J. H. Eberly, N. B. Narozhny and J. J. Sanchez-Mondragon, Periodic spontaneous collapse and revival in a simple quantum model, Phys. Rev. Lett. 44, 1323 (1980).MathSciNetCrossRefGoogle Scholar
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    A. Joshi and S. V. Lawande,.Jaynes-Cummings model with stochastic fluctuations, Phys. Lett. A184, 390 (1994); ibid., Stochastic fluctuations in.Jaynes-Cummings model, Phys. Rev. A50, 1692 (1994).Google Scholar

Copyright information

© Springer Science+Business Media New York 1996

Authors and Affiliations

  • Amitabh Joshi
    • 1
  • S. V. Lawande
    • 2
  1. 1.Department of MathematicsUMISTManchesterUK
  2. 2.Bhabha Atomic Research CentreTrombayIndia

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