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Statistical properties of a transformed Tavis-Cummings model

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  • Sebawe Abdalla, M.

Abstract

The problem of a system of two-level atoms in multiphoton (collective) interaction with a single mode of the quantized electromagnetic field is considered. The Holstein-Primakoff transformation is used to transform the model to a boson-boson interaction, and then the problem is treated as a parametric amplifier. Under a certain intergability condition an exact solution for the Heisenberg equations of motion is given. The phenomenon of squeezing as well as the statistical investigations are discussed.

Suggested Citation

  • Sebawe Abdalla, M., 1991. "Statistical properties of a transformed Tavis-Cummings model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 179(1), pages 131-144.
    • Handle: RePEc:eee:phsmap:v:179:y:1991:i:1:p:131-144
    DOI: 10.1016/0378-4371(91)90218-2
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    References listed on IDEAS

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    1. Obada, A.-S.F. & Abdel-Hafez, A.M., 1986. "Photon and atomic statistics in generalized Jaynes-Cummings models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 139(2), pages 593-618.
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    Cited by:

    1. Mariam Algarni & Kamal Berrada & Sayed Abdel-Khalek & Hichem Eleuch, 2022. "Parity Deformed Tavis-Cummings Model: Entanglement, Parameter Estimation and Statistical Properties," Mathematics, MDPI, vol. 10(17), pages 1-12, August.

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