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Coherence and Quantum Optics VI pp 13–14Cite as

Quantum Theory of Interaction of a Resonant Field with a Nonlinear Medium Modelled as an Anharmonic Oscillator

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Abstract

In this paper we investigate the quantum effects in the interaction of a single mode electomagnetic field with a nonlinear medium modelled as anharmonic oscillator with quartic anharmonicity. This model can describe a number of situations. For example, it can describe a highly excited Rydberg atom making transitions between close lying levels. It also describes a field propagating in a Kerr medium having space inversion symmetry. We assume that the anharmonicity parameter q and the atom-field coupling constant g are much smaller than the frequency w of the field so that the rotating wave approximation can be made.

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References

  1. M. Kitagawa and Y. Yamamoto, Phys. Rev. A34, 3974 (1986).

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  6. R. R. Puri and G. S. Agarwal, Phys. Rev. A35, 3433 (1987).

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  7. The detailed analytical and numerical results can be found in G. S. Agarwal and R. R. Puri, Phys. Rev. A39, 2969 (1989).

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Author information

Authors and Affiliations

  1. School of Physics, University of Hyderabad, Hyderabad, 500 134, India

    G. S. Agarwal

  2. Theoretical Physics Division, BARC, 400 085, Bombay, India

    R. R. Puri

Authors
  1. G. S. Agarwal
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  2. R. R. Puri
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Editor information

Editors and Affiliations

  1. Department of Physics and Astronomy, University of Rochester, Rochester, New York, USA

    Joseph H. Eberly , Leonard Mandel  & Emil Wolf ,  & 

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© 1990 Plenum Press, New York

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Agarwal, G.S., Puri, R.R. (1990). Quantum Theory of Interaction of a Resonant Field with a Nonlinear Medium Modelled as an Anharmonic Oscillator. In: Eberly, J.H., Mandel, L., Wolf, E. (eds) Coherence and Quantum Optics VI. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0847-8_3

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  • DOI: https://doi.org/10.1007/978-1-4613-0847-8_3

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4612-8112-2

  • Online ISBN: 978-1-4613-0847-8

  • eBook Packages: Springer Book Archive

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